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Matlab/Octave Optimized P1-Lagrange Finite Element Method in 2D
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StiffAssemblingP1base.m File Reference

Assembly of the Stiffness Matrix by $P_1$-Lagrange finite elements. More...

Go to the source code of this file.

Functions

function R = StiffAssemblingP1base (nq, nme, q, me, areas)
 Assembly of the Stiffness Matrix by $P_1$-Lagrange finite elements.
 

Detailed Description

Assembly of the Stiffness Matrix by $P_1$-Lagrange finite elements.

  • Basic version (see report).

Definition in file StiffAssemblingP1base.m.

Function Documentation

function R = StiffAssemblingP1base (   nq,
  nme,
  q,
  me,
  areas 
)

Assembly of the Stiffness Matrix by $P_1$-Lagrange finite elements.

  • Basic version (see report).

The Stiffness Matrix $\Stiff$ is given by

\[\Stiff_{i,j}=\int_\DOMH \DOT{\GRAD\FoncBase_i(\q)}{\GRAD\FoncBase_j(\q)}d\q,\ \forall (i,j)\in{\ENS{1}{\nq}}^2\]

where $\FoncBase_i$ are $P_1$-Lagrange basis functions.

Example
    Th=SquareMesh(10);
    R=StiffAssemblingP1base(Th.nq,Th.nme,Th.q,Th.me,Th.areas);
See Also
ElemStiffMatP1
Copyright
See License issues
Parameters
nqtotal number of nodes of the mesh, also denoted by $\nq$.
nmetotal number of triangles, also denoted by $\nme$.
qArray of vertices coordinates, $2\times\nq$ array.
${\q}(\il,j)$ is the $\il$-th coordinate of the $j$-th vertex, $\il\in\{1,2\}$ and $j\in\ENS{1}{\nq}$
meConnectivity array, $3\times\nme$ array.
$\me(\jl,k)$ is the storage index of the $\jl$-th vertex of the $k$-th triangle in the array $\q$, $\jl\in\{1,2,3\}$ and $k\in{\ENS{1}{\nme}}$.
areasArray of areas, $1\times\nme$ array. areas(k) is the area of the $k$-th triangle.
Return values
RGlobal stiffness matrix, $\nq\times\nq$ sparse matrix.

Definition at line 17 of file StiffAssemblingP1base.m.