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

Functions
function M =	MassWAssemblingP1base (nq, nme, me, areas, Tw)
	Assembly of the Weighted Mass Matrix by -Lagrange finite elements.

Detailed Description

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

Basic version (see report).

Definition in file MassWAssemblingP1base.m.

Function Documentation

function M = MassWAssemblingP1base	(	nq,
		nme,
		me,
		areas,
		Tw
	)

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

Basic version (see report).

The Weighted Mass Matrix $\MasseF{w}$ is given by

$\MasseF{w}_{i,j}=\int_\DOMH w(\q)\FoncBase_i(\q) \FoncBase_j(\q) d\q,\ \forall (i,j)\in{\ENS{1}{\nq}}^2$

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

Example

    Th=SquareMesh(10);
    w=@(x,y) cos(x+y);
    Tw=w(Th.q(1,:),Th.q(2,:));
    Mw=MassWAssemblingP1base(Th.nq,Th.nme,Th.me,Th.areas,Tw);

See Also: ElemMassWMatP1

This file is part of OptFEM2DP1. OptFEM2DP1 is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

OptFEM2DP1 is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.

Parameters

nq	total number of nodes of the mesh, also denoted by $\nq$ ,
nme	total number of triangles, also denoted by $\nme$ ,
me	Connectivity array, $3\times\nme$ array. $\me(\jl,k)$ is the storage index of the $\jl$ -th vertex of the -th triangle in the array $\q$ , $\jl\in\{1,2,3\}$ and $k\in{\ENS{1}{\nme}}$ .
areas	Array of areas, $1\times\nme$ array. areas(k) is the area of the -th triangle.
Tw	Array of vertices weight function values, $1\times\nq$ array. $Tw(i)=w(\q^i),$ $\forall i\in\ENS{1}{\nq}$ .

Return values

M	Global weighted mass matrix, $\nq\times\nq$ sparse matrix.

Definition at line 17 of file MassWAssemblingP1base.m.

Functions

Detailed Description

Function Documentation