Loïc Balazi, Grégoire Allaire, Pascal Omnes. Sharp convergence rates for the homogenization of the Stokes equations in a perforated domain. 2024. (hal-04541828⟩
Roland Becker, Stéphane Pierre Alain Bordas, Franz Chouly, Pascal Omnes. A short perspective on a posteriori error control and adaptive discretizations. Franz Chouly; Stéphane P.A. Bordas; Roland becker; Pascal Omnes. Error Control, Adaptive Discretizations, and Applications, Part 1, ISBN: 9780443294488, 58, Elsevier; Academic Press, In press. (hal-04476199⟩
Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau. Semi-Classical Observation Suffices for Observability: Wave and Schrödinger Equations. ESAIM: Control, Optimisation and Calculus of Variations, 2024, 30, pp.10. (10.1051/cocv/2023069⟩. ⟨hal-04489225⟩
Loïc Balazi, Grégoire Allaire, Pierre Jolivet, Pascal Omnes. Inf-sup stable non-conforming finite elements on tetrahedra with second and third order accuracy. 2024. (hal-04541809⟩
Hakim Boumaza, Olivier Lafitte. Analytic expression of the DOS for a new model of 1d-potential and its random perturbation. 2024. (hal-04518643⟩
Pierre-Alexandre Bliman, Nga Nguyen, Nicolas Vauchelet. Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models. 2024. (hal-04525237⟩
Bérangère Delourme, Sonia Fliss. Guided modes in a hexagonal periodic graph like domain. 2023. (hal-04193026⟩
Moussa Ziggaf. Study and implementation of an Eulerian-Lagrangian method on 2D/3D unstructured meshes for the numerical simulation of fluid flow models. Mathematical Physics [math-ph]. Université Paris-Nord - Paris XIII; Université Mohammed VI Polytechnique (Benguérir, Maroc), 2023. English. (NNT : 2023PA131021⟩. ⟨tel-04232827⟩
Asma Boumedine, Samir Lecheb, Khaled Benfriha, Pascal Omnes. Investigating the effect of process parameters for fused filament fabrication. Progress in Additive Manufacturing, 2023, (10.1007/s40964-022-00375-7⟩. ⟨hal-03969585⟩
Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau. Semi-classical observation suffices for observability : wave and Schrödinger equations. 2023. (hal-04113164v2⟩
Laurence Halpern, Jeffrey Rauch. Stability of Perfectly Matched Layers for Maxwell's Equations in Rectangular Solids. 2023. (hal-04049577⟩
Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau. Measure propagation along C^0-vector field and wave controllability on a rough compact manifold. 2023. (hal-03866679v2⟩
Luis Almeida, Jesús Bellver, Gwenaël Peltier, Nicolas Vauchelet. Optimal strategies for mosquitoes replacement strategy: influence of the carrying capacity on spatial releases. 2023. (hal-04196465⟩
Laurent Demanet, Olivier Lafitte. The reflection coefficient of a fractional reflector. 2023. (hal-04093250⟩
Jad Dakroub, Joanna Faddoul, Pascal Omnes, Toni Sayah. A posteriori error estimates for the time dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation. Advances in Computational Mathematics, 2023, 49 (4), pp.67. (10.1007/s10444-023-10066-8⟩. ⟨hal-03878204⟩
Ghina Nassreddine, Pascal Omnes, Toni Sayah. A posteriori error estimates for the large eddy simulation applied to incompressible fluids. ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (4), pp.2159-2191. (10.1051/m2an/2023039⟩. ⟨hal-03878287v2⟩
Emmanuel Audusse, Virgile Dubos, Noémie Gaveau, Yohan Penel. Energy stable and linearly well-balanced numerical schemes for the non-linear Shallow Water equations with Coriolis force. 2023. (hal-03509990v2⟩
Igor Chollet, Louis Lagardère, Jean-Philip Piquemal. ANKH: A Generalized O(N) Interpolated Ewald Strategy for Molecular Dynamics Simulations. Journal of Chemical Theory and Computation, 2023, (10.1021/acs.jctc.3c00015⟩. ⟨hal-03902427⟩
Nicolas Meunier, Philippe Souplet. Convergence, concentration and critical mass phenomena in a chemotaxis model with boundary signal production for eukaryotic cell migration. 2023. (hal-04360811⟩
Ghina Nassreddine, Pascal Omnes, Toni Sayah. A posteriori error estimates for the Large Eddy Simulation applied to incompressible fluids. ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (4), pp.2159-2191. (10.1051/m2an/2023039⟩. ⟨hal-04149698⟩
Jérôme Le Rousseau, Emmanuel Wend-Benedo Zongo. STABILIZATION OF THE DAMPED PLATE EQUATION UNDER GENERAL BOUNDARY CONDITIONS. Journal de l'École polytechnique — Mathématiques, 2023, 10, pp.1-65. (10.5802/jep.213⟩. ⟨hal-03868483⟩
Luís Almeida, Pierre-Alexandre Bliman, Nga Nguyen, Nicolas Vauchelet. Steady-state solutions for a reaction-diffusion equation with Robin boundary conditions: Application to the control of dengue vectors. 2023. (hal-03775887v2⟩
Luis Almeida, Alexis Léculier, Nicolas Vauchelet. Analysis of the "Rolling carpet" strategy to eradicate an invasive species. SIAM Journal on Mathematical Analysis, 2023, 55 (1), pp.275-309. (10.1137/21M1427243⟩. ⟨hal-03261142⟩
Olivier Lafitte, Olof Runborg. ERROR ESTIMATES FOR GAUSSIAN BEAMS AT A FOLD CAUSTIC. 2023. (hal-04055514⟩
Vuk Milisic, Philippe Souplet. From transient elastic linkages to friction: a complete study of a penalized fourth order equation with delay. 2023. (hal-04370455⟩
Marion Darbas, Juliette Leblond, Jean-Paul Marmorat, Pierre-Henri Tournier. Numerical resolution of the inverse source problem for EEG using the quasi-reversibility method. Inverse Problems, 2023, 39 (11), pp.115003. (10.1088/1361-6420/acf9c6⟩. ⟨hal-03880526v2⟩
Noriko Mizoguchi, Philippe Souplet. Complete classification of gradient blow-up and recovery of boundary condition for the viscous Hamilton-Jacobi equation. The Journal of Geometric Analysis, 2023, 33 (2), pp.42. (10.1007/s12220-022-01002-1⟩. ⟨hal-03884058⟩
Minh-Hieu Do, Van-Thanh Nguyen, Pascal Omnes. Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes. Journal of Computational Physics, 2023, (10.1016/j.jcp.2023.112261⟩. ⟨hal-03834155v2⟩
Duc-Quang Bui, Caroline Japhet, Pascal Omnes. OPTIMIZED SCHWARZ WAVEFORM RELAXATION METHOD FOR INCOMPRESSIBLE STOKES PROBLEM *. 2023. (hal-04105538⟩
Arthur Arnoult, Caroline Japhet, Pascal Omnes. DISCRETE-TIME ANALYSIS OF OPTIMIZED SCHWARZ WAVEFORM RELAXATION WITH ROBIN PARAMETERS DEPENDING ON THE TARGETED ITERATION COUNT. ESAIM: Mathematical Modelling and Numerical Analysis, 2023, (10.1051/m2an/2023051⟩. ⟨hal-03746438v2⟩
Ziggaf Moussa, Kissami Imad. MPI-Based Simulation of the Shallow Water Model using the Finite Volume Characteristics Scheme. 2022 6th International Conference on Computer, Software and Modeling (ICCSM), Jul 2022, Rome, France. pp.52-57, (10.1109/ICCSM57214.2022.00016⟩. ⟨hal-03909418⟩
Louis Dupaigne, Boyan Sirakov, Philippe Souplet. A Liouville-Type Theorem for the Lane–Emden Equation in a Half-space. International Mathematics Research Notices, 2022, 2022 (12), pp.9024-9043. (10.1093/imrn/rnaa392⟩. ⟨hal-03868772⟩
Slim Tayachi, Fred B. Weissler. NEW LIFE-SPAN RESULTS FOR THE NONLINEAR HEAT EQUATION. 2022. (hal-03860535⟩
Luís Almeida, Michel Duprez, Yannick Privat, Nicolas Vauchelet. Optimal control strategies for the sterile mosquitoes technique. Journal of Differential Equations, 2022, 311, pp.229-266. (10.1016/j.jde.2021.12.002⟩. ⟨hal-02995414v4⟩
François Dubois, Olivier Lafitte, Clair Poignard. Analytic solutions of two problems of Biology and Physics using the Jacobi elliptic functions. 16th International Symposium on Orthogonal Polynomials, Special Functions and Applications, Centre de recherches Mathématiques, Jun 2022, Montréal, Canada. (hal-04004709⟩
Nancy Chalhoub, Pascal Omnes, Toni Sayah, Rebecca El Zahlaniyeh. A posteriori error estimates for the time dependent convection-diffusion-reaction equation coupled with the Darcy system. Numerical Algorithms, 2022, 89 (3), pp.1247-1286. (10.1007/s11075-021-01152-3⟩. ⟨hal-03878105⟩
Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano. Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II. Springer International Publishing, 98, 2022, Progress in Nonlinear Differential Equations and Their Applications, (10.1007/978-3-030-88670-7⟩. ⟨hal-03866675⟩
François Cuvelier, Martin Gander, Laurence Halpern. Fundamental coarse space components for Schwarz methods with crosspoints. 2022. (hal-03586377⟩
Emmanuel Audusse, Gabriel R Barrenechea, Astrid Decoene, Pierrick Quemar. WEAK FORMULATION AND FINITE ELEMENT APPROXIMATION OF THE NAVIER-STOKES EQUATION WITH FREE SURFACE. 2022. (hal-03825181⟩
Tien Tai Nguyen. Study of nonlinear instabilities around laminar solutions of PDE systems in fluid mechanics or propagation models in biology. Fluids mechanics [physics.class-ph]. Université Paris-Nord - Paris XIII, 2022. English. (NNT : 2022PA131050⟩. ⟨tel-03992355⟩
Ghina Nassreddine, Pascal Omnes, Toni Sayah. A posteriori error estimates for the large eddy simulation applied to stationary Navier–Stokes equations. Numerical Methods for Partial Differential Equations, 2022, 38 (5), pp.1468-1498. (10.1002/num.22850⟩. ⟨hal-03878075⟩
Fayssal Benkhaldoun, Abdallah Bradji. A New Error Estimate for a Primal-Dual Crank-Nicolson Mixed Finite Element Using Lowest Degree Raviart-Thomas Spaces for Parabolic Equations. Large-Scale Scientific Computing, 13127, Springer International Publishing, pp.489-497, 2022, Lecture Notes in Computer Science, (10.1007/978-3-030-97549-4_56⟩. ⟨hal-03862088⟩
Fayssal Benkhaldoun, Abdallah Bradji, Tarek Ghoudi. A Finite Volume Scheme for a Wave Equation with Several Time Independent Delays. Large-Scale Scientific Computing, 13127, Springer International Publishing, pp.498-506, 2022, Lecture Notes in Computer Science, (10.1007/978-3-030-97549-4_57⟩. ⟨hal-03861760⟩
Philippe Souplet. Universal estimates and Liouville theorems for superlinear problems without scale invariance. Discrete and Continuous Dynamical Systems - Series A, 2022, (10.3934/dcds.2022099⟩. ⟨hal-03868773⟩
Aziz Madrane, Fayssal Benkhaldoun. Entropy Stable Discontinuous Galerkin Finite Element Method with Multi-Dimensional Slope Limitation for Euler Equations. Moroccan Journal of Pure and Applied Analysis, 2022, 8 (1), pp.102-127. (10.2478/mjpaa-2022-0009⟩. ⟨hal-03862081⟩
Olivier Lafitte, Tiến-Tài Nguyễn. Spectral Analysis of the Incompressible Viscous Rayleigh–Taylor System in R3. Water Waves, 2022, 4 (2), pp.259 - 305. (10.1007/s42286-022-00065-5⟩. ⟨hal-03857523⟩
Olivier Lafitte, Jean-Marc Brossier. Combinaison optimale de classifieurs binaires : solution logique sans algorithme et minimisation de risques convexifiés. GRETSI 2022 - XXVIIIème Colloque Francophone de Traitement du Signal et des Images, Sep 2022, Nancy, France. (hal-03764347⟩
Noriko Mizoguchi, Philippe Souplet. Singularity formation and regularization at multiple times in the viscous Hamilton-Jacobi equation. Asymptotic Analysis, 2022, pp.1-63. (10.3233/ASY-221813⟩. ⟨hal-03878643⟩
Luís Almeida, Jorge Estrada, Nicolas Vauchelet. The sterile insect technique used as a barrier control against reinfestation. Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler and Emmanuel Trélat. Optimization and Control for Partial Differential Equations, 29, De Gruyter, pp.91-112, 2022, Radon Series on Computational and Applied Mathematics, 9783110695984. (10.1515/9783110695984-005⟩. ⟨hal-02615391v2⟩
Duc Quang Bui, Caroline Japhet, Yvon Maday, Pascal Omnes. Coupling Parareal with Optimized Schwarz waveform relaxation for parabolic problems. SIAM Journal on Numerical Analysis, 2022. (hal-03167571v2⟩
Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano. Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I. Springer International Publishing, 97, 2022, Progress in Nonlinear Differential Equations and Their Applications, (10.1007/978-3-030-88674-5⟩. ⟨hal-03866673⟩
Olivier Lafitte. High frequency analysis of the Dirichlet to Neumann operator for an infinite cylinder (and an infinite elliptic cylinder) coated with dielectric material. Waves 2022, ENSTA, Jul 2022, Palaiseau, France. (hal-04004706⟩
Olivier Lafitte, Omar Maj. UNIQUENESS OF THE CAUCHY DATUM FOR THE TEMPERED-IN-TIME RESPONSE AND CONDUCTIVITY OPERATOR OF A PLASMA. 2022. (hal-03897756⟩
Luís Almeida, Jorge Estrada, Nicolas Vauchelet. Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations. Mathematical Modelling of Natural Phenomena, 2022, (10.1051/mmnp/2022026⟩. ⟨hal-03377080⟩
Kamel Mohamed, Fayssal Benkhaldoun, Aly Seadawy. Numerical simulation for a one‐pressure model of two‐phase flows using a new finite volume scheme. Mathematical Methods in the Applied Sciences, 2022, (10.1002/mma.8771⟩. ⟨hal-03862087⟩
Jean-Marc Brossier, Olivier Lafitte. Supervised learning using truth tables: convergence results and algorithms. AN22 - 2022 SIAM Annual Meeting (AN22), Jul 2022, Pittsburg, United States. (hal-04004702⟩
François Dubois, Olivier Lafitte. Analytic solutions and numerical method for a coupled thermo-neutronic problem. 2022. (hal-03663985⟩
Laurence Halpern, Jeffrey Rauch. Perfectly Matched Layers on Cubic Domains for
Pauli's Equations. 2022. (hal-02872141v3⟩
Philippe Souplet. On refined blowup estimates for the exponential reaction-diffusion equation. SN Partial Differential Equations and Applications, 2022, 3 (1), pp.16. (10.1007/s42985-022-00152-9⟩. ⟨hal-03868771⟩
Nina Aguillon, Emmanuel Audusse, Vivien Desveaux, Julien Salomon. How to find a discrete entropy inequality when you don’t know if it exists. 2022. (hal-03881570⟩
Qingqing Feng, Grégoire Allaire, Pascal Omnes. Enriched nonconforming multiscale finite element method for Stokes flows in heterogeneous media based on high-order weighting functions. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2022, 20 (1), (10.1137/21M141926X⟩. ⟨hal-03475694⟩
Olivier Lafitte. Unstable spectrum of a Rayleigh–Bénard system with variable viscosity. Comptes Rendus. Mathématique, 2021, 359 (9), pp.1165-1178. (10.5802/crmath.232⟩. ⟨hal-03857535⟩
Emmanuel Audusse, Léa Boittin, Martin Parisot. Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (4), pp.1635-1668. (10.1051/m2an/2021031⟩. ⟨hal-03312836⟩
Luís Almeida, Pierre-Alexandre Bliman, Grégoire Nadin, Benoît Perthame, Nicolas Vauchelet. Final size and convergence rate for an epidemic in heterogeneous population. Mathematical Models and Methods in Applied Sciences, 2021, 31 (05), pp.1021-1051. (hal-02981952v2⟩
Benoît Fabrèges, Frédéric Lagoutière, Tran Tien, Nicolas Vauchelet. Relaxation limit of the aggregation equation with pointy potential. Axioms, 2021, 10 (2), (10.3390/axioms10020108⟩. ⟨hal-03235634⟩
Philippe Souplet. Sharp condition for the Liouville property in a class of nonlinear elliptic inequalities. Colloquium Mathematicum, 2021, 164 (1), pp.43-52. (10.4064/cm8147-1-2020⟩. ⟨hal-03868769⟩
Marion Darbas, Jérémy Heleine, Renier Mendoza, Arrianne Crystal Velasco. Sensitivity analysis of the complete electrode model for electrical impedance tomography. AIMS Mathematics, 2021, 6 (7), pp.7333-7366. (10.3934/math.2021431⟩. ⟨hal-03965768⟩
Gabriella Bretti, Laurent Gosse, Nicolas Vauchelet. DIFFUSIVE LIMITS OF 2D WELL-BALANCED SCHEMES FOR KINETIC MODELS OF NEUTRON TRANSPORT. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (6), pp.2949-2980. (10.1051/m2an/2021077⟩. ⟨hal-03841190⟩
Stéphanie Chaillat, Marion Darbas, Frédérique Le Louër. Analytical preconditioners for Neumann elastodynamic Boundary Element Methods. SN Partial Differential Equations and Applications, 2021, 2 (22), (10.1007/s42985-021-00075-x⟩. ⟨hal-02512652v2⟩
Tomasz Dębiec, Benoît Perthame, Markus Schmidtchen, Nicolas Vauchelet. Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension. Journal de Mathématiques Pures et Appliquées, 2021, 145, pp.204-239. (10.1016/j.matpur.2020.11.002⟩. ⟨hal-02461406⟩
Nicolas Vauchelet, Shugo Yasuda. Numerical scheme for kinetic transport equation with internal state *. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2021, 19 (1), pp.18-27. (hal-02861713⟩
Pierre-Alexandre Bliman, Michel Duprez, Yannick Privat, Nicolas Vauchelet. Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model. Journal of Optimization Theory and Applications, 2021, 189 (2), pp.408--436. (10.1007/s10957-021-01830-1⟩. ⟨hal-02862922v2⟩
Emmanuel Audusse, Virgile Dubos, Arnaud Duran, Noémie Gaveau, Youssouf Nasseri, et al.. Numerical approximation of the shallow water equations with Coriolis source term. ESAIM: Proceedings, 2021, 70, pp.31-44. (10.1051/proc/202107003⟩. ⟨hal-03182659v2⟩
Martin J. Gander, Laurence Halpern, Florence Hubert, Stella Krell. Discrete Optimization of Robin Transmission Conditions for Anisotropic Diffusion with Discrete Duality Finite Volume Methods. Vietnam Journal of Mathematics, 2021, (10.1007/s10013-021-00518-3⟩. ⟨hal-02539124v2⟩
Bérangère Delourme, Laurence Halpern. A complex homographic best approximation problem. Application to Optimized Robin-Schwarz algorithms, and optimal control problems. 2021. (hal-02554807v2⟩
Stéphane Dellacherie, Jonathan Jung, Pascal Omnes. Construction of a low Mach finite volume scheme for the isentropic Euler system with porosity. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (3), pp.1199 - 1237. (10.1051/m2an/2021016⟩. ⟨hal-03197310⟩
Abdelqoddous Moussa, Olivier Lafitte. Uncertainty treatment of a coupled model of thermohydraulics and neutronics using special functions solutions. IEEE, pp.40-44, 2021, (10.1109/synasc54541.2021.00019⟩. ⟨hal-03858925⟩
Bérangère Delourme, Laurence Halpern. A Complex Homographic Best Approximation Problem. Application to Optimized Robin--Schwarz Algorithms, and Optimal Control Problems. SIAM Journal on Numerical Analysis, 2021, 59 (3), pp.1769-1810. (10.1137/20M1335789⟩. ⟨hal-03877622⟩
Boyan Sirakov, Philippe Souplet. The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients. Advances in Mathematics, 2021, 387, pp.107838. (10.1016/j.aim.2021.107838⟩. ⟨hal-03868770⟩
Frédéric Magoulès, Thi Phuong Kieu Nguyen, Pascal Omnes, Anna Rozanova-Pierrat. Optimal absorption of acoustical waves by a boundary. SIAM Journal on Control and Optimization, 2021, 59 (1), pp.561-583. (10.1137/20M1327239⟩. ⟨hal-01558043v6⟩
Michel Duprez, Romane Hélie, Yannick Privat, Nicolas Vauchelet. Optimization of spatial control strategies for population replacement, application to Wolbachia. ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.30. (10.1051/cocv/2021070⟩. ⟨hal-03044740v2⟩
Fayssal Benkhaldoun, Abdallah Bradji. Two New Error Estimates of a Fully Discrete Primal-Dual Mixed Finite Element Scheme for Parabolic Equations in Any Space Dimension. Results in mathematics = Resultate der Mathematik, 2021, 76 (4), pp.182. (10.1007/s00025-021-01489-0⟩. ⟨hal-03861428⟩
Emmanuel Audusse, Joao Guilherme Caldas Steinstraesser, Louis Emerald, Philippe Heinrich, Alexandre Paris, et al.. Comparison of models for the simulation of landslide generated tsunamis. ESAIM: Proceedings, 2021. (hal-03184864⟩
Jean-Marc Brossier, Olivier Lafitte. Combining weak classifiers: a logical analysis. SYNASC 2021 - 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, Dec 2021, Timisoara, Romania. pp.178-181, (10.1109/SYNASC54541.2021.00038⟩. ⟨hal-03858923⟩
Martin Gander, Laurence Halpern, Florence Hubert, Stella Krell. Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations. Moroccan Journal of Pure and Applied Analysis, 2021, 7 (2), pp.182-213. (10.2478/mjpaa-2021-0014⟩. ⟨hal-03352652v3⟩
Philippe Souplet. Liouville-type theorems for nonlinear elliptic and parabolic problems, 17p., in:
Proceedings of the Matrix conference ``Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type'' (Creswick, Australia, 2018),
2019-20 MATRIX Annals. Edited by D. Wood, J. de Gier, C. Praeger, T. Tao. Matrix book series, 4, Springer International Publishing, 2021, MATRIX Book Series, (10.1007/978-3-030-62497-2⟩. ⟨hal-03868777⟩
Bérangère Delourme, Eric Lunéville, Jean-Jacques Marigo, Agnès Maurel, Jean-François Mercier, et al.. A stable, unified model for resonant Faraday cages. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, 477 (2245), pp.20200668. (10.1098/rspa.2020.0668⟩. ⟨hal-03370501⟩
Bruno Stupfel, Pierre Payen, Olivier Lafitte. A well-posed and effective high-order Impedance Boundary Condition for the time-harmonic scattering problem from a multilayer coated 3-D object. Progress In Electromagnetics Research B, 2021, 94, pp.127-144. (10.2528/PIERB21072803⟩. ⟨hal-03858929⟩
Mohamed Jleli, Bessem Samet, Philippe Souplet. Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities. Proceedings of the American Mathematical Society, 2020, 148 (6), pp.2579-2593. (10.1090/proc/14953⟩. ⟨hal-03868764⟩
Thierry Cazenave, Flavio Dickstein, Ivan Naumkin, Fred B. Weissler. Sign-changing solutions of the nonlinear heat equation with persistent singularities. ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.126. (10.1051/cocv/2020082⟩. ⟨hal-02893405⟩
Moussa Ziggaf, Mohamed Boubekeur, Imad Kissami, Fayssal Benkhaldoun, Imad El Mahi. The FVC Scheme on Unstructured Meshes for the Two-Dimensional Shallow Water Equations. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, 323, Springer International Publishing, pp.455-465, 2020, Springer Proceedings in Mathematics & Statistics, (10.1007/978-3-030-43651-3_42⟩. ⟨hal-03862093⟩
Florence Hubert, Martin Gander, Laurence Halpern, Stella Krell. Optimized Overlapping DDFV Schwarz Algorithms. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA, Jun 2020, Bergen, Norway. pp.365-373, (10.1007/978-3-030-43651-3_33⟩. ⟨hal-03352681⟩
Fayssal Benkhaldoun, Abdallah Bradji. A Second Order Time Accurate Finite Volume Scheme for the Time-Fractional Diffusion Wave Equation on General Nonconforming Meshes. Large-Scale Scientific Computing, 11958, Springer International Publishing, pp.95-104, 2020, Lecture Notes in Computer Science, (10.1007/978-3-030-41032-2_10⟩. ⟨hal-03872872⟩
Pierre Degond, Sophie Hecht, Nicolas Vauchelet. Incompressible limit of a continuum model of tissue growth for two cell populations. Networks and Heterogeneous Media, 2020, 15, pp.57-85. (hal-02499494⟩
Saida Sari, Mohammed Seaid, Fayssal Benkhaldoun, Thomas Rowan. Simulation of Three-Dimensional Free-SurfaceFlows Using Two-Dimensional Multilayer Shallow Water Equations. Communications in Computational Physics, 2020, 27 (5), pp.1413-1442. (10.4208/cicp.OA-2019-0036⟩. ⟨hal-03861742⟩
Jérôme Le Rousseau, Luc Robbiano. Spectral inequality and resolvent estimate for the bi-Laplace operator. Journal of the European Mathematical Society, 2020, 22 (4), pp.1003-1094. (10.4171/JEMS/939⟩. ⟨hal-01194748v5⟩
Thierry Cazenave, Flavio Dickstein, Ivan Naumkin, Fred B. Weissler. Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. American Journal of Mathematics, 2020, 142 (5), pp.1439-1495. (10.1353/ajm.2020.0037⟩. ⟨hal-01556681⟩
Roberta Filippucci, Patrizia Pucci, Philippe Souplet. A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton–Jacobi equations. Communications in Partial Differential Equations, 2020, 45 (4), pp.321-349. (10.1080/03605302.2019.1684941⟩. ⟨hal-03868766⟩
Imad Kissami, Mohamed Seaid, Fayssal Benkhaldoun. Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations. Advances in Applied Mathematics and Mechanics, 2020, 12 (2), pp.503-526. (10.4208/aamm.OA-2019-0011⟩. ⟨hal-03861437⟩
Adel Blouza, Linda El Alaoui. A posteriori analysis of a Richards problem with a free boundary. 2020. (hal-02444391⟩
Hakim Boumaza, Olivier Lafitte. Integrated density of states: from the finite range to the periodic Airy-Schroedinger operator. 2020. (hal-02964056⟩
Moussa Ziggaf, Mohamed Boubekeur, Imad Kissami, Fayssal Benkhaldoun, Imad El Mahi. The FVC Scheme on Unstructured Meshes for the Two-Dimensional Shallow Water Equations. International Conference on Finite Volumes for Complex Applications, Jun 2020, Bergen, Norway. pp.455-465, (10.1007/978-3-030-43651-3_42⟩. ⟨hal-03862677⟩
Amal Attouchi, Philippe Souplet. Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton–Jacobi equations. Calculus of Variations and Partial Differential Equations, 2020, 59 (5), pp.153. (10.1007/s00526-020-01810-9⟩. ⟨hal-03868768⟩
Fayssal Benkhaldoun, Abdallah Bradji. Convergence Analysis of a Finite Volume Gradient Scheme for a Linear Parabolic Equation Using Characteristic Methods. Large-Scale Scientific Computing, 11958, Springer International Publishing, pp.566-575, 2020, Lecture Notes in Computer Science, (10.1007/978-3-030-41032-2_65⟩. ⟨hal-03872870⟩
Laurent Gosse, Nicolas Vauchelet. A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer. SIAM Journal on Numerical Analysis, 2020, 58 (2), pp.1092-1116. (10.1137/19M1239829⟩. ⟨hal-03841186⟩
Alessio Porretta, Philippe Souplet. Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation. Journal de Mathématiques Pures et Appliquées, 2020, 133, pp.66-117. (10.1016/j.matpur.2019.02.014⟩. ⟨hal-03868757⟩
Bérangère Delourme, David Hewett. Electromagnetic shielding by thin periodic structures and the Faraday cage effect. Comptes Rendus. Mathématique, 2020, 358 (7), pp.777-784. (10.5802/crmath.59⟩. ⟨hal-03877682⟩
Elyes Ahmed, Caroline Japhet, Michel Kern. Space-time domain decomposition for two-phase flow between different rock types. Computer Methods in Applied Mechanics and Engineering, 2020, 371, pp.113294. (10.1016/j.cma.2020.113294⟩. ⟨hal-02275690v3⟩
Bérangère Delourme, Thomas Duyckaerts, Nicolas Lerner. On Integrals Over a Convex Set of the Wigner Distribution. Journal of Fourier Analysis and Applications, 2020, 26 (1), pp.6. (10.1007/s00041-019-09722-9⟩. ⟨hal-03860722⟩
Marta Marulli, Vuk Milisic, Nicolas Vauchelet. Reduction of a model for sodium exchanges in kidney nephron. Networks and Heterogeneous Media, 2020, (10.3934/nhm.2021020⟩. ⟨hal-02578120⟩
Olivier Lafitte. Fourier series analysis of the (pseudodifferential) Dirichlet to Neumann operator for a layer of dielectric material. 2020. (hal-02969222v2⟩
Roberta Filippucci, Patrizia Pucci, Philippe Souplet. A Liouville-type theorem for an elliptic equation with superquadratic growth in the gradient. Advanced Nonlinear Studies, 2020, 20 (2), pp.245-251. (10.1515/ans-2019-2070⟩. ⟨hal-03868763⟩
Hattab Mouajria, Slim Tayachi, Fred Weissler. Large Time Behavior of Solutions to the Nonlinear Heat Equation with Absorption with Highly Singular Antisymmetric Initial Values. Advanced Nonlinear Studies, 2020, 20 (2), pp.311-337. (10.1515/ans-2020-2072⟩. ⟨hal-03860616⟩
Olivier Lafitte. Hybrid Singularity for the Oblique Incidence Response of a Cold Plasma. Indiana University Mathematics Journal, 2020, 48 (3), pp.937-992. (10.1512/iumj.1999.48.1765⟩. ⟨hal-03857545⟩
Marta Marulli, Aurélie Edwards, Vuk Milišić, Nicolas Vauchelet. On the role of the epithelium in a model of sodium exchange in renal tubules. Mathematical Biosciences, 2020, 321, pp.108308. (hal-02439519⟩
Fayssal Benkhaldoun, Abdallah Bradji. Note on the Convergence of a Finite Volume Scheme for a Second Order Hyperbolic Equation with a Time Delay in Any Space Dimension. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, 323, Springer International Publishing, pp.315-324, 2020, Springer Proceedings in Mathematics & Statistics, (10.1007/978-3-030-43651-3_28⟩. ⟨hal-03861435⟩
Martin J Gander, Laurence Halpern, Florence Hubert, Stella Krell. Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations. Moroccan Journal of Pure and Applied Analysis, 2020, 7, pp.182 - 213. (10.2478/mjpaa-2021-0014⟩. ⟨hal-03226239⟩
Abdelhafid Moumna, Imad Kissami, Imad Elmahi, Fayssal Benkhaldoun. Application of an Unstructured Finite Volume Method to the Shallow Water Equations with Porosity for Urban Flood Modelling. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, 323, Springer International Publishing, pp.725-734, 2020, Springer Proceedings in Mathematics & Statistics, (10.1007/978-3-030-43651-3_69⟩. ⟨hal-03862092⟩
Gabriella Bretti, Laurent Gosse, Nicolas Vauchelet. L -splines as diffusive limits of dissipative kinetic models. Vietnam Journal of Mathematics, In press. (hal-02440798⟩
Nancy Chalhoub, Pascal Omnes, Toni Sayah, Rebecca El Zahlaniyeh. Full discretization of time dependent convection-diffusion-reaction equation coupled with the Darcy system. Calcolo, 2020, 57 (1), pp.4. (10.1007/s10092-019-0352-1⟩. ⟨hal-03878148⟩
Olivier Lafitte, Olof Runborg. Error estimates for Gaussian beams at a fold caustic. Waves 2019, TU Wien, Aug 2019, Wien, Austria. (hal-04004714⟩
Benoît Perthame, Nicolas Vauchelet, Zhian Wang. The Flux Limited Keller-Segel System; Properties and Derivation from Kinetic Equations. Revista Matemática Iberoamericana, In press, 36 (2), (10.4171/rmi/1132⟩. ⟨hal-01689571⟩
Bérangère Delourme, Sonia Fliss, Patrick Joly, Elizaveta Vasilevskaya. Trapped modes in thin and infinite ladder like domains. Part 2 : asymptotic analysis and numerical application. Asymptotic Analysis, In press. (hal-01822437v2⟩
Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet, Luís Almeida, Benoît Perthame, et al.. Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Journal of Biological Dynamics, 2019, 13 (1), pp.269-300. (10.1080/17513758.2019.1593524⟩. ⟨hal-01674280⟩
J. Fořt, J. Karel, D. Trdlička, Fayssal Benkhaldoun, I. Kissami, et al.. Finite volume methods for numerical simulation of the discharge motion described by different physical models. Advances in Computational Mathematics, 2019, 45 (4), pp.2163-2189. (10.1007/s10444-019-09706-9⟩. ⟨hal-03884966⟩
Mohamed Khaladi, Nisrine Outada, Nicolas Vauchelet. On the Hilbert Method in the Kinetic Theory of Multicellular Systems: Hyperbolic Limits and Convergence Proof. 2019. (hal-02195572⟩
Frédéric Magoulès, Thi Phuong Kieu Nguyen, Pascal Omnes, Anna Rozanova-Pierrat. Optimal and efficient shapes in acoustic boundary absorption. 2019. (hal-02543993⟩
Luís Almeida, Michel Duprez, Yannick Privat, Nicolas Vauchelet. Mosquito population control strategies for fighting against arboviruses. Mathematical Biosciences and Engineering, 2019, 16 (6), pp.6274-6297. (10.3934/mbe.2019313⟩. ⟨hal-01984426v2⟩
Philippe Souplet, Michael Winkler. Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3. Communications in Mathematical Physics, 2019, 367 (2), pp.665-681. (10.1007/s00220-018-3238-1⟩. ⟨hal-03868753⟩
Luís Almeida, Yannick Privat, Martin Strugarek, Nicolas Vauchelet. Optimal releases for population replacement strategies, application to Wolbachia. SIAM Journal on Mathematical Analysis, 2019, 51 (4), pp.3170--3194. (10.1137/18M1189841⟩. ⟨hal-01807624v2⟩
Zineb Tabbakh, Mohammed Seaid, Rachid Ellaia, Driss Ouazar, Fayssal Benkhaldoun. A local radial basis function projection method for incompressible flows in water eutrophication. Engineering Analysis with Boundary Elements, 2019, 106, pp.528-540. (10.1016/j.enganabound.2019.06.004⟩. ⟨hal-03861501⟩
Carlos Esteve, Philippe Souplet. No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem. Adv.Diff.Equations, 2019, 24 (7/8), (10.57262/ade/1556762456⟩. ⟨hal-03868751⟩
Christopher Eldred, Thomas Dubos, Evaggelos Kritsikis. A Quasi-Hamiltonian Discretization of the Thermal Shallow Water Equations. Journal of Computational Physics, 2019, 379, pp.1-31. (10.1016/j.jcp.2018.10.038⟩. ⟨hal-01847698v3⟩
Pierre Payen, Olivier Lafitte, Bruno Stupfel. A high order impedance boundary condition with unique solution for the time harmonic Maxwell’s equations. Waves 2019, TU Wien, Aug 2019, Wien, Austria. (hal-04004712⟩
François Delarue, Frédéric Lagoutìère, Nicolas Vauchelet. Convergence analysis of upwind type schemes for the aggregation equation with pointy potential. Annales Henri Lebesgue, In press, (10.5802/ahl.30⟩. ⟨hal-01591602v2⟩
Abdallah Bradji, Moussa Ziggaf. A Convergence Result of a Linear SUSHI Scheme Using Characteristics Method for a Semi-linear Parabolic Equation. HPC2019, Sep 2019, Borovets, France. pp.452-462, (10.1007/978-3-030-55347-0_38⟩. ⟨hal-03909434⟩
Philippe Souplet. A Simplified Approach to the Refined Blowup Behavior for the Nonlinear Heat Equation. SIAM Journal on Mathematical Analysis, 2019, 51 (2), pp.991-1013. (10.1137/18M1175926⟩. ⟨hal-03868754⟩
Elyes Ahmed, Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík. A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types. SMAI Journal of Computational Mathematics, 2019, 5, pp.195-227. (10.5802/smai-jcm.47⟩. ⟨hal-01540956v3⟩
Noriko Mizoguchi, Philippe Souplet. Optimal condition for blow-up of the critical L norm for the semilinear heat equation. Advances in Mathematics, 2019, 355, pp.106763. (10.1016/j.aim.2019.106763⟩. ⟨hal-03868755⟩
Laurent Gosse, Nicolas Vauchelet. Some examples of kinetic scheme whose diffusion limit is Il'in's exponential-fitting. Numerische Mathematik, 2019, 141 (3), pp.627-680. (hal-01590822v2⟩
Gabriele Ciaramella, Martin J. Gander, Laurence Halpern, Julien Salomon. Methods of Reflections: relations with Schwarz methods and classical stationary iterations, scalability and preconditioning. SMAI Journal of Computational Mathematics, 2019, 5, pp.161-193. (10.5802/smai-jcm.46⟩. ⟨hal-01930232⟩
Thierry Cazenave, Flavio Dickstein, Ivan Naumkin, Fred B. Weissler. Perturbations of self-similar solutions. Dynamics of Partial Differential Equations, 2019, 16 (2), pp.151-183. (10.4310/DPDE.2019.v16.n2.a3⟩. ⟨hal-01826926⟩
Amin Rafiei, Matthias Bollhöfer, Fayssal Benkhaldoun. A block version of left-looking AINV preconditioner with one by one or two by two block pivots. Applied Mathematics and Computation, 2019, 350, pp.366-385. (10.1016/j.amc.2019.01.012⟩. ⟨hal-03861498⟩
Pavol Quittner, Philippe Souplet. Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States. Springer International Publishing, 2019, Birkhäuser Advanced Texts Basler Lehrbücher, (10.1007/978-3-030-18222-9⟩. ⟨hal-03868783⟩
Carlos Esteve, Philippe Souplet. Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity. Nonlinearity, 2018, 31 (11), pp.4883-4934. (10.1088/1361-6544/aad526⟩. ⟨hal-03868746⟩
Philippe Souplet. Global existence for reaction–diffusion systems with dissipation of mass and quadratic growth. Journal of Evolution Equations, 2018, 18 (4), pp.1713-1720. (10.1007/s00028-018-0458-y⟩. ⟨hal-03868748⟩
Slim Tayachi, Fred B Weissler. The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Journal of Elliptic and Parabolic Equations, 2018, 4 (1), pp.141-176. (10.1007/s41808-018-0014-5⟩. ⟨hal-03860556⟩
Adrien Semin, Bérangère Delourme, Kersten Schmidt. On the homogenization of the Helmholtz problem with thin perforated walls of finite length. ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (1), pp.29-67. (10.1051/m2an/2017030⟩. ⟨hal-03877643⟩
Martin J. Gander, Laurence Halpern, Véronique Martin. Multiscale analysis of heterogeneous domain decomposition methods for time-dependent advection-reaction-diffusion problems. Journal of Computational and Applied Mathematics, 2018, 344, pp.904-924. (10.1016/j.cam.2018.05.058⟩. ⟨hal-03622516⟩
Jong-Shenq Guo, Philippe Souplet. Excluding blowup at zero points of the potential by means of Liouville-type theorems. Journal of Differential Equations, 2018, 265 (10), pp.4942-4964. (10.1016/j.jde.2018.06.025⟩. ⟨hal-03868744⟩
Emmanuel Audusse, Minh Hieu Do, Pascal Omnes, Yohan Penel. Analysis of modified Godunov type schemes for the two-dimensional linear wave equation with Coriolis source term on cartesian meshes. Journal of Computational Physics, 2018, 373, pp.91-129. (10.1016/j.jcp.2018.05.015⟩. ⟨hal-01618753⟩
Francois Cuvelier. Exact integration for products of power of barycentric coordinates over $d$-simplexes in $R^n$. 2018. (hal-01816347⟩
Laura Grigori, Caroline Japhet, Philippe Moireau. Proceedings of the Cemracs 2016 - numerical challenges in parallel scientific computing.. 63, pp.I-III, 2018, (10.1051/proc/20186300i⟩. ⟨hal-03864524⟩
François Cuvelier, Gilles Scarella. Vectorized algorithms for regular tessellations of d-orthotopes and their faces. 2018. (hal-01638329v2⟩
Bérangère Delourme, Laurence Halpern, Binh Thanh Nguyen. Optimized Schwarz Methods for Elliptic Optimal Control Problems. Domain Decomposition Methods in Science and Engineering XXIV, 125, Springer International Publishing, pp.215-222, 2018, Lecture Notes in Computational Science and Engineering, (10.1007/978-3-319-93873-8_19⟩. ⟨hal-03877685⟩
Rachida Chakir, Charles Dapogny, Caroline Japhet, Yvon Maday, Jean-Baptiste Montavon, et al.. Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-Component). ESAIM: Proceedings and Surveys, 2018, 63, pp.208-227. (10.1051/proc/201863208⟩. ⟨hal-01736669⟩
Elyes Ahmed, Caroline Japhet, Michel Kern. Global-in-Time Domain Decomposition for a Nonlinear Diffusion Problem. DD 2018 - 25th International Domain Decomposition Conference, Jul 2018, St John's, Canada. pp.202-209, (10.1007/978-3-030-56750-7⟩. ⟨hal-02263280⟩
Hakim Boumaza, Olivier Lafitte. The band spectrum of the periodic Airy–Schrödinger operator on the real line. Journal of Differential Equations, 2018, 264 (1), pp.455-505. (10.1016/j.jde.2017.09.013⟩. ⟨hal-03916543⟩
Emmanuel Audusse. Autour du système de Saint-Venant : Méthodes numériques pour le transport sédimentaire, les fluides en rotation et les équations primitives. Analyse numérique [math.NA]. Universite Paris 13 Villeraneuse, 2018. (tel-02005164⟩
Francois Cuvelier. Efficient algorithms to perform linear algebra operations on 3D arrays in vector languages. 2018. (hal-01809975⟩
Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík. A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations. Computational Methods in Applied Mathematics, 2018, 18 (3), pp.495-519. (10.1515/cmam-2018-0010⟩. ⟨hal-01529532v3⟩
Emmanuel Audusse, Christophe Chalons, Philippe Ung. A simple three-wave approximate Riemann solver for the Saint-Venant-Exner equations. International Journal for Numerical Methods in Fluids, 2018, 87 (10), pp.508-528. (10.1002/fld.4500⟩. ⟨hal-03993086⟩
A. Blouza, Linda El Alaoui. Numerical Modeling of The Quorum Sensing In a Bacterial Biofilm. ESAIM: Proceedings and Surveys, 2018, 62, pp.17-29. (10.1051/proc/201862017⟩. ⟨hal-02435979⟩
Bérangère Delourme, David P. Hewett. Electromagnetic shielding by thin periodic structures and the Faraday cage effect. 2018. (hal-01821827⟩
Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet. On Optimal Coarse Spaces for Domain Decomposition and Their Approximation. Domain Decomposition Methods in Science and Engineering XXIV, pp.271-280, 2018, (10.1007/978-3-319-93873-8_25⟩. ⟨hal-02495081⟩
Mourad Bellassoued, Jérôme Le Rousseau. Carleman estimates for elliptic operators with complex coefficients Part II: transmission problems. Journal de Mathématiques Pures et Appliquées, 2018, 115, pp.127-186. (10.1016/j.matpur.2018.04.001⟩. ⟨hal-01312627⟩
Nina Aguillon, Emmanuel Audusse, Edwige Godlewski, Martin Parisot. Analysis of the Riemann Problem for a shallow water model with two velocities. SIAM Journal on Mathematical Analysis, 2018, (10.1137/17M1152887⟩. ⟨hal-01618722v2⟩
Sarah Ali Hassan, Caroline Japhet, Martin Vohralík. A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations. Electronic Transactions on Numerical Analysis, 2018, 49, pp.151-181,. (10.1553/etna_vol49s151⟩. ⟨hal-01586862v3⟩
Philippe Souplet. Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in R n. Journal of Functional Analysis, 2017, 272 (5), pp.2005-2037. (10.1016/j.jfa.2016.09.002⟩. ⟨hal-03868739⟩
Grégoire Nadin, Martin Strugarek, Nicolas Vauchelet. Hindrances to bistable front propagation: application to Wolbachia invasion. 2017. (hal-01442291⟩
Thi-Thao-Phuong Hoang, Caroline Japhet, Michel Kern, Jean E. Roberts. Space-time domain decomposition for advection-diffusion problems in mixed formulations. Mathematics and Computers in Simulation, 2017, MAMERN VI-2015: 6th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources, 137, pp.24. (10.1016/j.matcom.2016.11.002⟩. ⟨hal-01296348v2⟩
Bruno Després, Lise-Marie Imbert-Gérard, Olivier Lafitte. Singular solutions for the plasma at the resonance. Journal de l'École polytechnique — Mathématiques, 2017. (hal-01097364⟩
Byrame Ben Slimene, Slim Tayachi, Fred Weissler. WELL-POSEDNESS, GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR FOR HARDY-H ÉNON PARABOLIC EQUATIONS. Nonlinear Analysis: Theory, Methods and Applications, 2017, 152, pp.116-148. (10.1016/j.na.2016.12.008⟩. ⟨hal-03860582⟩
Jérôme Le Rousseau, Gilles Lebeau, Peppino Terpolilli, Emmanuel Trélat. Geometric control condition for the wave equation with a time-dependent observation domain. Analysis & PDE, 2017, 10 (4), pp.983--1015. (hal-01342398v2⟩
Martin J Gander, Laurence Halpern, Johann J Rannou, Juliet J Ryan. A DIRECT TIME PARALLEL SOLVER BY DIAGONALIZATION FOR THE WAVE EQUATION. 2017. (hal-01590347v2⟩
Emmanuel Audusse, Olivier Lafitte, Agnes Leroy, Benjamin Melinand, Chi-Tuan Pham, et al.. Parametric Study of the Accuracy of an Approximate Solution for the Mild-Slope Equation. IEEE, pp.79-85, 2017, (10.1109/SYNASC.2017.00024⟩. ⟨hal-03862855⟩
Evaggelos Kritsikis, Matthias Aechtner, Yann Meurdesoif, Thomas Dubos. Conservative interpolation between general spherical meshes. Geoscientific Model Development, 2017, 10 (1), pp.425-431. (10.5194/gmd-10-425-2017⟩. ⟨hal-03226708⟩
Fayssal Benkhaldoun, A. Halassi, Driss Ouazar, Mohammed Seaid, Ahmed Taik. A stabilized meshless method for time-dependent convection-dominated flow problems. Mathematics and Computers in Simulation, 2017, 137, pp.159-176. (10.1016/j.matcom.2016.11.003⟩. ⟨hal-03872879⟩
Emmanuel Audusse, Marie-Odile Bristeau, Jacques Sainte-Marie. Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations. 2017. (hal-01583511v2⟩
Jorgelindo da Veiga, Olivier Lafitte, Laurent Schwartz. A simple mathematical model for the growth and division of cells. MathematicS In Action, 2017, 8 (1), pp.1-8. (10.5802/msia.10⟩. ⟨hal-03857551⟩
Nicolas Vauchelet, Ewelina Zatorska. Incompressible limit of the Navier-Stokes model with a growth term. Nonlinear Analysis: Theory, Methods and Applications, 2017, 163, pp.34. (hal-01525856⟩
Sophie Hecht, Nicolas Vauchelet. Incompressible limit of a mechanical model for tissue growth with non-overlapping constraint.. Communications in Mathematical Sciences, 2017, 15 (7), pp.1913. (hal-01477856⟩
Franck Boyer, Pascal Omnes. Benchmark proposal for the FVCA8 conference : Finite volume methods for the Stokes and Navier-Stokes equations. Springer Proceedings in Mathematics & Statistics, 199, Springer, pp.59-71, 2017, FVCA 2017: Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects, 978-3-319-57396-0 (Print) ; 978-3-319-57397-7 (Online). (10.1007/978-3-319-57397-7_5⟩. ⟨hal-04019649⟩
Fayssal Benkhaldoun, Christophe Cerin, Imad Kissami, Walid Saad. Challenges of Translating HPC Codes to Workflows for Heterogeneous and Dynamic Environments. 2017 International Conference on High Performance Computing & Simulation (HPCS), Jul 2017, Genoa, France. pp.858-863, (10.1109/HPCS.2017.130⟩. ⟨hal-03861750⟩
Sarah Delcourte, Pascal Omnes. Numerical results for a discrete duality finite volume discretization applied to the Navier–Stokes equations. Clément Cancès; Pascal Omnes. FVCA 2017 - International Conference on Finite Volumes for Complex Applications - Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects, 199, , pp.141-161, 2017, Springer Proceedings in Mathematics & Statistics book series (PROMS), 978-3-319-57397-7 (online); 978-3-319-57396-0 (print). (10.1007/978-3-319-57397-7_10⟩. ⟨hal-02090099⟩
Thierry Cazenave, Flávio Dickstein, Fred B. Weissler. Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Nagoya Mathematical Journal, 2017, 226, pp.44-70. (10.1017/nmj.2016.35⟩. ⟨hal-01139074⟩
Bérangère Delourme, Sonia Fliss, Patrick Joly, Elizaveta Vasilevskaya. Trapped modes in thin and infinite ladder like domains. Part 1 : existence results. Asymptotic Analysis, 2017, 103(3) (103-134). (hal-01287127⟩
Amal Attouchi, Philippe Souplet. Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion. Transactions of the American Mathematical Society, 2017, 369 (2), pp.935-974. (10.1090/tran/6684⟩. ⟨hal-03868738⟩
Emmanuel Audusse, Stéphane Dellacherie, Minh-Hieu Do, Pascal Omnes, Yohan Penel. Godunov type scheme for the linear wave equation with Coriolis source term. ESAIM: Proceedings and Surveys, 58, 2017, LMLFN 2015 – Low Velocity Flows – Application to Low Mach and Low Froude regimes, (10.1051/proc/201758001⟩. ⟨hal-01254888⟩
Mohamed Boubekeur, Fayssal Benkhaldoun, Mohammed Seaid. GPU Accelerated Finite Volume Methods for Three-Dimensional Shallow Water Flows. International Conference on Finite Volumes for Complex Applications, Jun 2017, Lille, France. pp.137-144, (10.1007/978-3-319-57394-6_15⟩. ⟨hal-03862624⟩
Hakim Boumaza, Olivier Lafitte. The band spectrum of the periodic airy-schrodinger operator on the real line. 2017. (hal-01343538v2⟩
Clément Cancès, Pascal Omnes (Dir.). Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects: FVCA 8, Lille, France, June 2017
. C. Cancès and P. Omnes. Springer International Publishing, 199, 2017, Springer Proceedings in Mathematics & Statistics, FVCA 8, Lille, France, June 2017. (hal-01639725⟩
Clément Cancès, Pascal Omnes (Dir.). Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017. C. Cancès and P. Omnes. Springer, 200, 2017, Springer Proceedings in Mathematics & Statistics, 978-3-319-57393-9. (hal-01639713⟩
Stéphane Dellacherie, Olivier Lafitte. Une solution explicite monodimensionnelle d’un modèle simplifié de couplage stationnaire thermohydraulique–neutronique. Annales mathématiques du Québec, 2017, 41 (2), pp.221-264. (10.1007/s40316-016-0073-7⟩. ⟨hal-03857559⟩
Hanen Amor, Fayssal Benkhaldoun, Tarek Ghoudi, Imad Kissami, Mohammed Seaid. New Criteria for Mesh Adaptation in Finite Volume Simulation of Planar Ionization Wavefront Propagation. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, 200, Springer International Publishing, pp.547-555, 2017, Springer Proceedings in Mathematics & Statistics, (10.1007/978-3-319-57394-6_57⟩. ⟨hal-03872885⟩
Alessio Porretta, Philippe Souplet. Analysis of the loss of boundary conditions for the diffusive Hamilton–Jacobi equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2017, 34 (7), pp.1913-1923. (10.1016/j.anihpc.2017.02.001⟩. ⟨hal-03868743⟩
Pierre-Alexandre Bliman, Nicolas Vauchelet. Establishing Traveling Wave in Bistable Reaction-Diffusion System by Feedback. IEEE Control Systems Letters, 2017, 1 (1), pp.62-67. (10.1109/LCSYS.2017.2703303⟩. ⟨hal-01480833v3⟩
Fayssal Benkhaldoun, Mohammed Seaid, Amadou Mahamane. A posteriori error estimates for mixed finite volume solution of elliptic boundary value problems. Moroccan Journal of Pure and Applied Analysis, 2017, 3 (2), pp.199-217. (10.1515/mjpaa-2017-0016⟩. ⟨hal-03861745⟩
Emmanuel Audusse, Minh-Hieu Do, Pascal Omnes, Yohan Penel. Analysis of Apparent Topography scheme for the linear wave equation with Coriolis force. FVCA 2017 - Finite Volumes for Complex Applications VIII, Jun 2017, Lille, France. pp.209-217, (10.1007/978-3-319-57394-6_23⟩. ⟨hal-01690796⟩
Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík. Space-time domain decomposition methods and a posteriori error estimates for the heat equation. EDP-NORMANDIE 2017 - VIe Colloque Edp-normandie, Oct 2017, Caen, France. pp.1-18. (hal-01702428⟩
Stéphane Dellacherie, Olivier Lafitte. Une solution explicite monodimensionnelle d'un modèle simplifié de couplage stationnaire thermohydraulique-neutronique. 2016. (hal-01263642v2⟩
Adrien Semin, Bérangère Delourme, Kersten Schmidt. On the homogenization of the Helmholtz problem with thin perforated walls of finite length. 2016. (hal-01400528⟩
Stéphane Dellacherie, Jonathan Jung, Pascal Omnes. Preliminary results for the study of the Godunov Scheme Applied to the Linear Wave Equation with Porosity at Low Mach Number. ESAIM: Proceedings and Surveys, 2016, (10.1051/proc/201552006⟩. ⟨hal-01130404⟩
Stéphane Dellacherie, Jonathan Jung, Pascal Omnes, Pierre-Arnaud Raviart. Construction of modified Godunov type schemes accurate at any Mach number for the compressible Euler system. Mathematical Models and Methods in Applied Sciences, 2016, (10.1142/S0218202516500603⟩. ⟨hal-00776629v4⟩
Bérangère Delourme, Kersten Schmidt, Adrien Semin. On the homogenization of thin perforated walls of finite length. Asymptotic Analysis, 2016, 97 (3-4), pp.211-264. (10.3233/ASY-151350⟩. ⟨hal-03877640⟩
Thi-Thao-Phuong Hoang, Caroline Japhet, Michel Kern, Jean E. Roberts. Space-time Domain Decomposition and Mixed Formulation for solving reduced fracture models
. SIAM Journal on Numerical Analysis, 2016, 54 (1), pp.29. (10.1137/15M1009651⟩. ⟨hal-01113953v2⟩
Bérangère Delourme, Sonia Fliss, Patrick Joly, Elizaveta Vasilevskaya. Trapped modes in thin and infinite ladder like domains: existence and asymptotic analysis. [Research Report] RR-8882, (CNRS-ENSTA Paristech-INRIA, Université Paris-Saclay); LAGA, Université Paris 13. 2016. (hal-01287023⟩
Martin Strugarek, Nicolas Vauchelet, Jorge Zubelli. Quantifying the Survival Uncertainty of Wolbachia-infected Mosquitoes in a Spatial Model *. 2016. (hal-01355118v2⟩
Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau, Jacques Sainte-Marie. Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. Mathematics of Computation, 2016, 85, pp.2815-2837. (10.1090/mcom/3099⟩. ⟨hal-01063577v2⟩
Martin J. Gander, Laurence Halpern, Juliet Ryan, Thuy Thi Bich Tran. A Direct Solver for Time Parallelization. Domain Decomposition Methods in Science and Engineering XXII, 104, pp.491-499, 2016, (10.1007/978-3-319-18827-0_50⟩. ⟨hal-01429894⟩
Alessio Porretta, Philippe Souplet. The Profile of Boundary Gradient Blowup for the Diffusive Hamilton–Jacobi Equation. International Mathematics Research Notices, 2016, pp.rnw154. (10.1093/imrn/rnw154⟩. ⟨hal-03868742⟩
Oana Ciobanu, Laurence Halpern, Xavier Juvigny, Juliette Ryan. Overlapping Domain Decomposition Applied to the Navier-Stokes Equations. Domain Decomposition Methods in Science and Engineering XXII, pp.461-470, 2016, (10.1007/978-3-319-18827-0_47⟩. ⟨hal-01845273⟩
Adel Blouza, Linda El Alaoui, Saloua Mani-Aouadi. A posteriori analysis of penalized and mixed formulations of Koiter’s shell model. Journal of Computational and Applied Mathematics, 2016, 296, pp.138-155. (10.1016/j.cam.2015.07.007⟩. ⟨hal-02435976⟩
Laurence Halpern, Jeffrey Rauch. Hyperbolic
Boundary Value Problems
with Trihedral Corners. AIMS series in Applied Mathematics, 2016. (hal-01203481v2⟩
Bérangère Delourme, Patrick Joly, Elizaveta Vasilevskaya. Existence of guided waves due to a lineic perturbation of a 3D periodic medium. Applied Mathematics Letters, 2016, (10.1016/j.aml.2016.11.017⟩. ⟨hal-01412396⟩
Emmanuel Audusse, Christophe Chalons, Philippe Ung. A simple three-wave Approximate Riemann Solver for the Saint-Venant–Exner equations. 2016. (hal-01204754v2⟩
Stéphane Dellacherie, Erell Jamelot, Olivier Lafitte. A simple monodimensional model coupling an enthalpy transport equation and a neutron diffusion equation. 2016. (hal-01322933⟩
Emmanuel Audusse, Sébastien Boyaval, Nicole Goutal, Magali Jodeau, Philippe Ung. Numerical Simulation of the Dynamics of Sedimentary River Beds with a Stochastic Exner Equation. ESAIM: Proceedings and Surveys, 2015, 48, pp.321 - 340. (10.1051/proc/201448015⟩. ⟨hal-01102335⟩
Emmanuel Audusse, Sébastien Boyaval, Yueyuan Gao, Danielle Hilhorst (Dir.). NUMERICAL SIMULATIONS OF THE PERIODIC INVISCID BURGERS EQUATION WITH STOCHASTIC FORCING. 48, pp.308-320, 2015, ESAIM: Proceedings and Surveys. (hal-00962213v2⟩
Bérangère Delourme. High-order asymptotics for the electromagnetic scattering by thin periodic layers. Mathematical Methods in the Applied Sciences, 2015, 38 (5), pp.811-833. (10.1002/mma.3110⟩. ⟨hal-03877634⟩
Emmanuel Audusse, Christophe Chalons, Philippe Ung. A simple well-balanced and positive numerical scheme for the shallow-water system. Communications in Mathematical Sciences, 2015, 13 (5), pp.1317-1332. (10.4310/CMS.2015.v13.n5.a11⟩. ⟨hal-01083364v2⟩
Florian Haeberlein, Laurence Halpern, Anthony Michel. Schwarz Waveform Relaxation and Krylov Accelerators for Reactive Transport. 2015. (hal-01384281⟩
Anh Ha Le, Pascal Omnes. An a posteriori error estimation for the discrete duality finite volume discretization of the Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis, 2015, 49 (3), pp.663 - 693. (10.1051/m2an/2014057⟩. ⟨cea-00726531v2⟩
Thierry Cazenave, Simão Correia, Flavio Dickstein, Fred B. Weissler. A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. São Paulo Journal of Mathematical Sciences, 2015, 9 (2), pp.146-161. (10.1007/s40863-015-0020-6⟩. ⟨hal-01158899⟩
François Cuvelier, Caroline Japhet, Gilles Scarella. An efficient way to assemble finite element matrices in vector languages. 2015. (hal-00931066v2⟩
Sarah Delcourte, Pascal Omnes. A discrete duality finite volume discretization of the vorticity-velocity-pressure formulation of the 2D Stokes problem on almost arbitrary two-dimensional grids. Numerical Methods for Partial Differential Equations, 2015, pp.1-30. (10.1002/num.21890⟩. ⟨cea-00772972v2⟩
François Cuvelier. Generalized Kirchhoff approximation for Helmholtz equation. 2014. (hal-00946716⟩
Daniel Bennequin, Martin J. Gander, Loic Gouarin, Laurence Halpern. Optimized Schwarz Waveform Relaxation for Advection Reaction Diffusion Equations in Two Dimensions. 2014. (hal-00986756⟩
Jocelyne Erhel, Martin Gander, Laurence Halpern, Géraldine Pichot, Taoufik Sassi, et al. (Dir.). Domain Decomposition Methods in Science and Engineering XXI. Jocelyne Erhel and Martin Gander and Laurence Halpern and Géraldine Pichot and Taoufik Sassi and Olof Widlund. Springer, pp.800, 2014. (hal-00911590⟩
Caroline Japhet, Yvon Maday, Frédéric Nataf. Robin Schwarz algorithm for the NICEM Method: the $P_q$ finite element case. SIAM Journal on Numerical Analysis, 2014, 52 (4), pp.1497-1524. (hal-01093984⟩
Pablo Tassi, Emmanuel Audusse, Fayssal Benkhaldoun, Saida Sari, Mohammed Seaid. A fast finite volume solver for multi-layered shallow water flows with mass exchange. Journal of Computational Physics, 2014, 272, pp.23 - 45. (10.1016/j.jcp.2014.04.026⟩. ⟨hal-01710060⟩
Oscar P. Bruno, Bérangère Delourme. Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum--including Wood anomalies. 2014. (hal-00923678⟩
Thierry Cazenave, Flávio Dickstein, Fred B. Weissler. Standing waves of the complex Ginzburg-Landau equation. Nonlinear Analysis: Theory, Methods and Applications, 2014, 103, pp.26. (10.1016/j.na.2014.03.001⟩. ⟨hal-00906995⟩
Laurence Halpern, Florence Hubert. A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations
. SIAM Journal on Numerical Analysis, 2014, 52 (3), pp.1269-1291. (10.1137/130919799⟩. ⟨hal-01271249⟩
Florian Lemarié, Emmanuel Audusse. Méthodes numériques pour la modélisation de l'océan et de l'atmosphère. 42e Congrès National d'Analyse Numérique, Mar 2014, Carry-Le-Rouet, France. (hal-01062973⟩
Caroline Japhet, Yvon Maday, Frédéric Nataf. Robin Schwarz algorithm for the NICEM Method: the Pq finite element case. 2014. (hal-00939352⟩
Alexandre Montaru, Boyan Sirakov, Philippe Souplet. Proportionality of Components, Liouville Theorems and a Priori Estimates for Noncooperative Elliptic Systems. Archive for Rational Mechanics and Analysis, 2014, 213, pp.129 - 169. (10.1007/s00205-013-0719-4⟩. ⟨hal-00944637v2⟩
Bérangère Delourme. High order asymptotics for the electromagnetic scattering from thin periodic layers : the 3D Maxwell case. 2014. (hal-00682358v2⟩
Amal Attouchi, Philippe Souplet. Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion. 2014. (hal-00981167⟩
Thi Bach, Tuyet Dang, Laurence Halpern, Jean-Jacques Marigo. Asymptotic analysis of small defects near a singular point in antiplane elasticity, with an application to the nucleation of a crack at a notch. Mathematics and Mechanics of Complex Systems, 2014, 2 (2), pp.141-179. (10.2140/memocs.2014.2.141⟩. ⟨hal-01152441⟩
Martin J. Gander, Laurence Halpern, Véronique Martin. A new Algorithm Based on Factorization for Heterogeneous Domain Decomposition. 2014. (hal-01063385⟩
Oscar Bruno, Bérangère Delourme. Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum—including Wood anomalies. Journal of Computational Physics, 2014, 262, pp.262-290. (10.1016/j.jcp.2013.12.047⟩. ⟨hal-03877656⟩
Caroline Japhet, Yvon Maday, Frédéric Nataf. Robin Schwarz algorithm for the NICEM method: the Pq finite element case. SIAM Journal on Numerical Analysis, 2014. (hal-01405533⟩
Thi Thao Phuong Hoang, Jérôme Jaffré, Caroline Japhet, Michel Kern, Jean Roberts. Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations. SIAM Journal on Numerical Analysis, 2013, 51 (6), pp.3532-3559. (10.1137/130914401⟩. ⟨hal-00803796⟩
François Cuvelier, Caroline Japhet, Gilles Scarella. An efficient way to perform the assembly of finite element matrices in Matlab and Octave. [Research Report] RR-8305, INRIA. 2013, pp.40. (hal-00785101v2⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. Finite-time blowup for a complex Ginzburg-Landau equation. SIAM Journal on Mathematical Analysis, 2013, 45 (1), pp.244-268. (10.1137/120878690⟩. ⟨hal-00906888⟩
Emmanuel Audusse, Olivier Delestre, Le Minh-Hoang, Mathias Masson-Fauchier, Pierre Navaro, et al.. Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow. ESAIM: Proceedings, 2013, 43, pp.80-94. (10.1051/proc/201343005⟩. ⟨hal-00840200⟩
Thi Thao Phuong Hoang, Caroline Japhet, Michel Kern, Jean E. Roberts. Ventcell conditions with mixed formulations for flow in porous media. 22th International conference on domain decomposition methods, Sep 2013, Lugano, Switzerland. (hal-01113964⟩
Youness Noumir, François Dubois, Olivier Lafitte. Numerical Eulerian method for linearized gas dynamics in the high frequency regime. Numerische Mathematik, 2013, 127 (4), pp.641-683. (10.1007/s00211-013-0598-5⟩. ⟨hal-03177490⟩
Martin J. Gander, Caroline Japhet. Algorithm 932: {PANG}: Software for Non-Matching Grid Projections in 2d and 3d with Linear Complexity. ACM Transactions on Mathematical Software, 2013, 40 (1), pp.6:1--6:25. (10.1145/2513109.2513115⟩. ⟨hal-00933643⟩
Xavier Claeys, Bérangère Delourme. High order asymptotics for wave propagation across thin periodic interfaces. Asymptotic Analysis, 2013, 83 (1-2), pp.35-82. (10.3233/ASY-2012-1150⟩. ⟨hal-03877660⟩
Bérangère Delourme, Houssem Haddar, Patrick Joly. ON THE WELL-POSEDNESS, STABILITY AND ACCURACY OF AN ASYMPTOTIC MODEL FOR THIN PERIODIC INTERFACES IN ELECTROMAGNETIC SCATTERING PROBLEMS. Mathematical Models and Methods in Applied Sciences, 2013, 23 (13), pp.2433-2464. (10.1142/S021820251350036X⟩. ⟨hal-03877632⟩
Martin J. Gander, Laurence Halpern, Florence Hubert, Stella Krell. DDFV Schwarz Ventcell algorithms. 22nd International Conference on Domain Decomposition Methods, Institute of Computational Science (ICS) of the Università della Svizzera italiana (USI - University of Lugano) Sep 2013, Lugano, Switzerland. (10.1007/978-3-319-18827-0⟩. ⟨hal-01271251⟩
Caroline Japhet, Yvon Maday, Frédéric Nataf. A New Interface Cement Equilibrated Mortar (NICEM) method with Robin interface conditions: the P1 finite element case. Mathematical Models and Methods in Applied Sciences, 2013, 23 (12), pp.2253-2292. (10.1142/S0218202513500310⟩. ⟨hal-00933608⟩
Anh Ha Le, Pascal Omnes. Discrete Poincaré inequalities for arbitrary meshes in the discrete duality finite volume context. Electronic Transactions on Numerical Analysis, 2013, 40, pp. 94--119. (cea-00726543⟩
Nadia Belaribi, François Cuvelier, Francesco Russo. Probabilistic and deterministic algorithms for space multidimensional irregular porous media equation.. Stochastics and Partial Differential Equations: Analysis and Computations, 2013, 1 (1), pp.3-62. (10.1007/s40072-013-0001-7⟩. ⟨hal-00723821⟩
Laurence Halpern, Ludovic Métivier, Jeffrey Rauch. Perfectly Matched Layers and Harmoniously Matched Layers: a numerical comparison for 2D acoustic propagation in heterogeneous media. WAVES 2013 - 11th International Conference on Mathematical and Numerical Aspects of Waves, Jun 2013, Tunis, Tunisia. (hal-00826612⟩
Thi Bach Tuyet Dang, Laurence Halpern, Jean-Jacques Marigo. Asymptotic analysis of small defects near a singular point in anti-plane elasticity. Application to the nucleation of a crack at a notch. Mathematics and Mechanics of Complex Systems, 2013, sous presse. (hal-00864498⟩
Francois Cuvelier. Geometrical optics formulaes for Helmholtz equation. 2013. (hal-00785774⟩
Yohan Penel, Stéphane Dellacherie, Olivier Lafitte. Theoretical Study of an Abstract Bubble Vibration Model. Zeitschrift für Analysis und ihre Anwendungen, 2013, 32 (1), pp.19-36. (10.4171/ZAA/1472⟩. ⟨hal-00655568⟩
Thi Thao Phuong Hoang, Jérôme Jaffré, Caroline Japhet, Michel Kern, Jean E. Roberts. Space-time domain decomposition for mixed formulations of diffusion equations. 21st International Conference on Domain Decomposition Methods, Jun 2012, Rennes, France. pp.295-304. (hal-00923353⟩
Linda El Alaoui, Jean-Pierre Françoise, M. Landau. Reduced Models for Unidirectional Block Conduction and Their Geometrical Setting. Acta Biotheoretica, 2012, 60 (1-2), pp.131 - 137. (hal-01407204⟩
Christine Bernardi, Adel Blouza, Linda El Alaoui. The rain on underground porous media Part I. Analysis of a Richards model. 2012. (hal-00685974⟩
Thi Bach Tuyet Dang, Jean-Jacques Marigo, Laurence Halpern. Matching asymptotic method in propagation of cracks with Dugdale model. 11th International Conference on Fracture and Damage Mechanics, Sep 2012, Shaanx, China. pp.489-492, (10.4028/www.scientific.net/KEM.525-526.489⟩. ⟨hal-00780381⟩
Florence Hubert, Laurence Halpern. A new finite volume Schwarz algorithm for advection-diffusion equations. 21st International Conference on Domain Decomposition Methods, Jun 2012, Rennes, France. pp.1-8. (hal-00839282⟩
Bérangère Delourme, Xavier Claeys. High order asymptotics for wave propagation across thin periodic interfaces. 2012. (hal-00682386⟩
Thi Bach Tuyet Dang, Halpern Laurence, Jean-Jacques Marigo. Matching asymptotic method and nucleation of a defect at a notch. International Conference on Advances in Computational Mechanics (ACOME), Aug 2012, Ho Chi Minh Ville, Vietnam. sous presse. (hal-00736783⟩
Emmanuel Audusse, Christophe Chalons, Olivier Delestre, Nicole Goutal, Magali Jodeau, et al.. Sediment transport modelling : relaxation schemes for Saint-Venant - Exner and three layer models. ESAIM: Proceedings, 2012, 38, pp.78-98. (10.1051/proc/201238005⟩. ⟨hal-00796049⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. Multi-scale multi-profile solutions of evolution equations. Discrete and Continuous Dynamical Systems - Series S, 2012, 5 (3), pp.449-472. (10.3934/dcdss.2012.5.449⟩. ⟨hal-01378221⟩
Bérangère Delourme, Houssem Haddar, Patrick Joly. Approximate models for wave propagation across thin periodic interfaces. Journal de Mathématiques Pures et Appliquées, 2012, 98 (1), pp.28-71. (10.1016/j.matpur.2012.01.003⟩. ⟨hal-03877665⟩
Jerry L. Bona, Stéphane Vento, Fred B. Weissler. Singularity formation and blowup of complex-valued solutions of the modified KdV equation. 2012. (hal-00655739⟩
Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet. Discontinuous Coarse Spaces for DD-Methods with Discontinuous Iterates. 2012. (hal-00765821v2⟩
Manuel Bernard, Stéphane Dellacherie, Gloria Faccanoni, Bérénice Grec, Olivier Lafitte, et al.. Study of a low Mach nuclear core model for single-phase flows. ESAIM: Proceedings, 2012, 38, pp.118-134. (10.1051/proc/201238007⟩. ⟨hal-00662978⟩
Emmanuel Audusse, Christophe Chalons, Olivier Delestre, Nicole Goutal, Magali Jodeau, et al.. Sediment transport modelling : Relaxation schemes for Saint-Venant -- Exner and three layer models. 2012. (hal-00674363⟩
Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet. Discontinuous Coarse Space Corrections (DCS) for Optimized Schwarz Methods. The Twenty First International Conference on Domain Decomposition Methods, Jun 2012, Rennes, France. (hal-00765824⟩
Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet. Continuous Analysis of the Additive Schwarz Method: a Stable Decomposition in $H^1$ with Explicit Dependence of the Constants on the Shape Regularity of the Decomposition. 2011. (hal-00462006v3⟩
Thierry Cazenave, Flávio Dickstein, Fred B. Weissler. Spectral properties of stationary solutions of the nonlinear heat equation. Publicacions Matemàtiques, 2011, 55, pp.185-200. (10.5565/publmat_55111_09⟩. ⟨hal-02895944⟩
Youness Noumir, François Dubois, Olivier Lafitte. Numerical Eulerian method for linearized gas dynamics in the high frequency regime. 2011. (hal-00713031⟩
Ludovic Métivier, P. Lailly, Florence Delprat-Jannaud, Laurence Halpern. A 2D nonlinear inversion of well-seismic data. Inverse Problems, 2011, 27 (5), pp.055005. (10.1088/0266-5611/27/5/055005⟩. ⟨hal-00935643⟩
Linda El Alaoui, Alexandre Ern, Martin Vohralík. Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems. Computer Methods in Applied Mechanics and Engineering, 2011, 200 (37-40), pp.2782-2795. (10.1016/j.cma.2010.03.024⟩. ⟨hal-00410471⟩
Emmanuel Audusse, Marie-Odile Bristeau, Marica Pelanti, Jacques Sainte-Marie. Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model. Kinetic interpretation and numerical solution.. Journal of Computational Physics, 2011, 230, pp.3453-3478. (10.1016/j.jcp.2011.01.042⟩. ⟨hal-00654642⟩
Ludovic Métivier, Laurence Halpern. Perfectly Matched Layers equations for 3D acoustic wave propagation in heterogeneous media. WAVES 2011, Jul 2011, Vancouver, Canada. (hal-00826617⟩
Pascal Omnes. On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes. ESAIM: Mathematical Modelling and Numerical Analysis, 2011, 45 (4), pp.627--650. (10.1051/m2an/2010068⟩. ⟨cea-00430941v2⟩
Emmanuel Audusse, Fayssal Benkhaldoun, Jacques Sainte-Marie, M. Seaid. Multilayer Saint-Venant Equations over movable beds. Discrete and Continuous Dynamical Systems - Series B, 2011, 15 (4), pp.917-934. (10.3934/dcdsb.2011.15.917⟩. ⟨inria-00551486⟩
Laurence Halpern, Sabrina Petit-Bergez, Jeffrey Rauch. The Analysis of Matched Layers. 2011. (hal-00551855v2⟩
Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet. Non shape regular domain decompositions: an analysis using a stable decomposition in $H_0^1$. 20th International Conference on Domain Decomposition Methods, Feb 2011, La Jolla, United States. pp.485--492, (10.1007/978-3-642-35275-1_57⟩. ⟨hal-00607043v2⟩
Pascal Omnes. Développement et analyse de méthodes de volumes finis. Mathématiques [math]. Université Paris-Nord - Paris XIII, 2010. (tel-00613239⟩
Nadia Belaribi, François Cuvelier, Francesco Russo. A probabilistic algorithm approximating solutions of a singular PDE of porous media type. 2010. (inria-00535806⟩
Laurence Halpern, Jérémie Szeftel, Caroline Japhet. Optimized Schwarz waveform relaxation and discontinuous Galerkin time stepping for heterogeneous problems.. 2010. (hal-00479814⟩
Pascal Omnes, Yohan Penel, Yann Rosenbaum. A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation. SIAM Journal on Numerical Analysis, 2009, 47 (4), pp.2782--2807. (10.1137/080735047⟩. ⟨cea-00320486v2⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Mathematische Annalen, 2009, 344 (2), pp.431-449. (10.1007/s00208-008-0312-6⟩. ⟨hal-02896243⟩
Emmanuel Audusse, Marie-Odile Bristeau, Benoît Perthame, Jacques Sainte-Marie. A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation. ESAIM: Mathematical Modelling and Numerical Analysis, 2009, 45, pp.169-200. (10.1051/m2an/2010036⟩. ⟨hal-00355730⟩
Pascal Omnes. Error estimates for a finite volume method for the Laplace equation in dimension one through discrete Green functions.. International Journal on Finite Volumes, 2009, 6 (1). (cea-00391590⟩
Emmanuel Audusse, Pierre Dreyfuss, Benoit Merlet. Optimized Schwarz waveform relaxation for Primitive Equations of the ocean. 2009. (hal-00386817⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. On the structure of global solutions of the nonlinear heat equation in a ball. Journal of Mathematical Analysis and Applications, 2009, 360 (2), pp.537-547. (10.1016/j.jmaa.2009.06.076⟩. ⟨hal-02896240⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Journal of Differential Equations, 2009, 246 (7), pp.2669-2680. (10.1016/j.jde.2009.01.035⟩. ⟨hal-02896246⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. An equation whose Fujita critical exponent is not given by scaling. Nonlinear Analysis: Theory, Methods & Applications, 2008, 68 (4), pp.862-874. (10.1016/j.na.2006.11.042⟩. ⟨hal-02896248⟩
Emmanuel Audusse, Eric Blayo, Laurence Halpern, Caroline Japhet, Véronique Martin, et al.. Des conditions d'interface efficaces pour le couplage de modèles océaniques. SMAI 2007 - 3e congrès national de mathématiques appliquées et industrielles, Jun 2007, Praz-sur-Arly, France. (hal-00795348⟩
Caroline Japhet, François-Xavier Roux. Résolution par sous-domaines de problèmes d'élasticité. 8e Colloque national en calcul des structures, CSMA, May 2007, Giens, France. (hal-01507581⟩
Slah Sahmim, Fayssal Benkhaldoun, Francisco Alcrudo. A sign matrix based scheme for non-homogeneous PDE's with an analysis of the convergence stagnation phenomenon. Journal of Computational Physics, 2007, 226 (2), pp.1753-1783. (10.1016/j.jcp.2007.06.017⟩. ⟨hal-00114522⟩
Eric Blayo, Laurence Halpern, Caroline Japhet. Optimized Schwarz waveform relaxation algorithms with nonconforming time discretization for coupling convection-diffusion problems with discontinuous coefficients. Olof B. Widlund and Walter Zulehner. Domain Decomposition Methods in Science and Engineering XVI, 55, Springer Verlag, pp.267-274, 2007, Lecture Notes in Computational Science and Engineering, 978-3-540-34468-1. (10.1007/978-3-540-34469-8_31⟩. ⟨inria-00187555⟩
Fayssal Benkhaldoun, Imad Elmahi, Mohamed Seaid. Well-balanced finite volume schemes for pollutant transport on unstructured meshes. Journal of Computational Physics, 2007, 226 (1), pp.180-203. (10.1016/j.jcp.2007.04.005⟩. ⟨hal-00114526v2⟩
Sarah Delcourte, Komla Domelevo, Pascal Omnes. A discrete duality finite volume approach to Hodge decomposition and div-curl problems on almost arbitrary two-dimensional meshes.. SIAM Journal on Numerical Analysis, 2007, 45 (3), pp.1142-1174. (hal-00868431⟩
Emmanuel Audusse, Eric Blayo, Laurence Halpern, Caroline Japhet, Véronique Martin, et al.. Efficient interface conditions for the coupling of ocean models. Coupled Problems 2007 - 2nd International Conference on Computational Methods for Coupled Problems in Science and Engineering, International Center for Numerical Methods in Engineering (CIMNE), May 2007, Santa Eularia, Spain. pp.528-531. (inria-00180920⟩
Sarah Delcourte, Komla Domelevo, Pascal Omnes. A discrete duality finite volume approach to Hodge decomposition and div-curl problems on almost arbitrary two-dimensional meshes. SIAM Journal on Numerical Analysis, 2007, 45 (3), pp.1142-1174. (10.1137/060655031⟩. ⟨hal-00635633⟩
Olivier Lafitte. The linear and non linear Rayleigh-Taylor instability for the quasi isobaric profile. 2007. (hal-00158835⟩
Olivier Lafitte. Study of the linear ablation growth rate for the quasi isobaric model of Euler equations with thermal conductivity. Indiana University Mathematics Journal, 2007, in press. (hal-00158866⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. Nonparabolic Asymptotic Limits of Solutions of the Heat Equation on $${\mathbb{R}}^N$$. Journal of Dynamics and Differential Equations, 2007, 19 (3), pp.789-818. (10.1007/s10884-007-9076-z⟩. ⟨hal-02896251⟩
Caroline Japhet, Yvon Maday, Frédéric Nataf. A new Cement to Glue non-conforming Grids with Robin interface conditions: the finite element case. 2007. (hal-00144262⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. A solution of the constant coefficient heat equation on R with exceptional asymptotic behavior: An explicit construction. Journal de Mathématiques Pures et Appliquées, 2006, 85 (1), pp.119-150. (10.1016/j.matpur.2005.08.006⟩. ⟨hal-02896263⟩
Laurence Halpern, Jérémie Szeftel. Optimized and Quasi-Optimal Schwarz Waveform Relaxation for the One Dimensional Schrödinger Equation. 2006. (hal-00067733⟩
Thierry Cazenave, Fred B. Weissler. Spatial decay and time-asymptotic profiles for solutions of Schroedinger equations. Indiana University Mathematics Journal, 2006, 55 (1), pp.75-118. (10.1512/iumj.2006.55.2664⟩. ⟨hal-02896260⟩
Slah Sahmim, Fayssal Benkhaldoun. Schéma SRNHS Analyse et Application d'un schéma aux volumes finis dédié aux systèmes non homogènes. Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2006, Volume 5, Special Issue TAM TAM'05, november 2006, pp.302-316. (10.46298/arima.1870⟩. ⟨hal-01263437⟩
Fayssal Benkhaldoun, Laure Quivy. A non homogeneous Riemann Solver for shallow water and two phase flows. Flow, Turbulence and Combustion, 2006, 76, pp.391-402. (10.1007/s10494-006-9027-5⟩. ⟨hal-00114337⟩
Jan Halama, Fayssal Benkhaldoun. Finite volume characteristic flux scheme for transonic flow problems. 2006. (hal-00114524⟩
Martin J. Gander, Laurence Halpern, Stéphane Labbé, Kévin Santugini-Repiquet. An Optimized Schwarz Waveform Relaxation Algorithm for Micro-Magnetics. 17th International Conference on Domain Decomposition Methods in Science and Engineering, Jul 2006, St. Wolfgang / Strobl, Austria. pp.203-210, (10.1007/978-3-540-75199-1_22⟩. ⟨hal-00748107⟩
Daniel Bennequin, Martin J. Gander, Laurence Halpern. A Homographic Best Approximation Problem with Application to Optimized Schwarz Waveform Relaxation. 2006. (hal-00111643⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. A Solution of the Heat Equation with a Continuum of Decay Rates. Elliptic and Parabolic Problems, 63, Birkhäuser-Verlag, pp.135-138, 2005, Progress in Nonlinear Differential Equations and Their Applications, (10.1007/3-7643-7384-9_15⟩. ⟨hal-02896273⟩
Sarah Delcourte, Komla Domelevo, Pascal Omnes. Discrete-duality finite volume method for second order elliptic problems. 2005. (hal-00868449⟩
Martin J. Gander, Laurence Halpern, Michel Kern. A Schwarz Waveform Relaxation Method for Advection—Diffusion—Reaction Problems with Discontinuous Coefficients and Non-matching Grids. Domain Decomposition Methods in Science and Engineering 16, Jan 2005, New-York, United States. (10.1007/978-3-540-34469-8_33⟩. ⟨hal-01111940⟩
Thierry Cazenave, Flavio Dickstein, Fred B. Weissler. Multiscale Asymptotic Behavior of a Solution of the Heat Equation on $$ \mathbb{R}^N $$. Nonlinear Differential Equations: A Tribute to D. G. de Figueiredo, 66, Birkhäuser Verlag, pp.185-194, 2005, Progress in Nonlinear Differential Equations and their Applications, (10.1007/3-7643-7401-2_12⟩. ⟨hal-02896268⟩
Thierry Cazenave, Flávio Dickstein, Fred B. Weissler. Universal solutions of the heat equation on $\mathbb R^N$. Discrete & Continuous Dynamical Systems - A, 2003, 9 (5), pp.1105-1132. (10.3934/dcds.2003.9.1105⟩. ⟨hal-02896380⟩
Stéphane Labbé, Laurence Halpern. Modélisation et simulation du comportement des matériaux ferromagnétiques. Matapli, 2001, 66. (hal-01907700⟩
Laurence Halpern, Stéphane Labbé. From the quasi-static to the dynamic Maxwell’s model in micromagnetism. Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jul 2000, Santiago de Compostella, Spain. pp.310-314. (hal-01907776⟩
Thierry Cazenave, Fred B. Weissler. Scattering Theory and Self-Similar Solutions for the Nonlinear Schrödinger Equation. SIAM Journal on Mathematical Analysis, 2000, 31 (3), pp.625-650. (10.1137/S0036141099351309⟩. ⟨hal-02896403⟩
Thierry Cazenave, Fred B. Weissler. More self-similar solutions of the nonlinear Schrödinger equation. Nonlinear Differential Equations and Applications, 1998, 5 (3), pp.355-365. (10.1007/s000300050050⟩. ⟨hal-02896410⟩
Caroline Japhet. Méthode de décomposition de domaine et conditions aux limites artificielles en mécanique des fluides: méthode Optimisée d'Orde 2.. Mathématiques [math]. Université Paris-Nord - Paris XIII, 1998. Français. (NNT : ⟩. ⟨tel-00558701⟩
Thierry Cazenave, Fred B. Weissler. Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Mathematische Zeitschrift, 1998, 228 (1), pp.83-120. (10.1007/PL00004606⟩. ⟨hal-02896419⟩
Thierry Cazenave, Fred B. Weissler. Unstable simple modes of the nonlinear string. Quarterly of Applied Mathematics, 1996, 54 (2), pp.287-305. (10.1090/qam/1388017⟩. ⟨hal-02896434⟩
Catherine Lacour, Caroline Japhet, Francois-Xavier Roux, D. Kalfon. Méthodes de résolution par sous-domaines et calcul parallèle. 1996. (hal-00369591⟩
Thierry Cazenave, Alain Haraux, Fred B. Weissler. A class of nonlinear, completely integrable abstract wave equations. Journal of Dynamics and Differential Equations, 1993, 5 (1), pp.129-154. (10.1007/BF01063738⟩. ⟨hal-02896455⟩
Thierry Cazenave, Alain Haraux, Fred B. Weissler. Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Journal of Dynamics and Differential Equations, 1993, 5 (1), pp.155-187. (10.1007/BF01063739⟩. ⟨hal-02896449⟩
Thierry Cazenave, Fred B. Weissler. Rapidly decaying solutions of the nonlinear Schrödinger equation. Communications in Mathematical Physics, 1992, 147 (1), pp.75-100. (10.1007/BF02099529⟩. ⟨hal-02896462⟩
Thierry Cazenave, Fred B. Weissler. The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 1991, 117 (3-4), pp.251-273. (10.1017/S0308210500024719⟩. ⟨hal-02896465⟩
Thierry Cazenave, Fred B. Weissler. The cauchy problem for the critical nonlinear Schrödinger equation in Hs. Nonlinear Analysis: Theory, Methods & Applications, 1990, 14 (10), pp.807-836. (10.1016/0362-546X(90)90023-A⟩. ⟨hal-02896472⟩
Thierry Cazenave, Alain Haraux, Luis Vázquez, Fred B. Weissler. Nonlinear effects in the wave equation with a cubic restoring force. Computational Mechanics, 1989, 5 (1), pp.49-72. (10.1007/BF01046879⟩. ⟨hal-02896500⟩
Thierry Cazenave, Fred B. Weissler. Some remarks on the nonlinear Schrödinger equation in the subcritical case. New Methods and Results in Non-linear Field Equations, 347, Springer-Verlag, pp.59-69, 1989, Lecture Notes in Physics, (10.1007/BFb0025761⟩. ⟨hal-02896492⟩
Thierry Cazenave, Fred B. Weissler. Some remarks on the nonlinear Schrödinger equation in the critical case. Nonlinear Semigroups, Partial Differential Equations, and Attractors, 1394, Springer, pp.18-29, 1989, Lecture Notes in Mathematics, (10.1007/BFb0086749⟩. ⟨hal-02896484⟩
Thierry Cazenave, Fred B. Weissler. The Cauchy problem for the nonlinear Schrödinger equation in H1. Manuscripta mathematica, 1988, 61 (4), pp.477-494. (10.1007/BF01258601⟩. ⟨hal-02896521⟩
