| OptFEM2DP1 Toolbox 1.2b4 Matlab/Octave Optimized P1-Lagrange Finite Element Method in 2D

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Opt/MassWAssembling2DP1OptV0.m File Reference

Assembly of the Weighted Mass Matrix using -Lagrange finite elements. More...

Go to the source code of this file.

## Functions
function M = | MassWAssembling2DP1OptV0 (nq, nme, me, areas, Tw)
| Assembly of the Weighted Mass Matrix using -Lagrange finite elements.

## Detailed Description

Assembly of the Weighted Mass Matrix using -Lagrange finite elements.

- OptV0 version (see report).

Definition in file MassWAssembling2DP1OptV0.m.

## Function Documentation

function M = MassWAssembling2DP1OptV0 | ( |  | nq,
|  |  | nme,
|  |  | me,
|  |  | areas,
|  |  | Tw
| ) |  |

Assembly of the Weighted Mass Matrix using -Lagrange finite elements.

- OptV0 version (see report).

The Weighted Mass Matrix is given by

where are -Lagrange basis functions.

Example

              Th=SquareMesh(10);
              w=@(x,y) cos(x+y);
              Tw=w(Th.q(1,:),Th.q(2,:));
              Mw=MassWAssembling2DP1OptV0(Th.nq,Th.nme,Th.me,Th.areas,Tw);

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Parameters:

  nq | total number of nodes of the mesh, also denoted by ,
  nme | total number of triangles, also denoted by ,
  me | Connectivity array, array. is the storage index of the -th vertex of the -th triangle in the array of vertices coordinates, and .
  areas | Array of areas, array. areas(k) is the area of the -th triangle.
  Tw | Array containing the values of at the vertices, array (double). .

Return values:

  M | Global weighted mass matrix, sparse matrix.

Definition at line 17 of file MassWAssembling2DP1OptV0.m.

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