The Finite Element Module

This file gives an overview of the finite element module of Galeri.

An alternative way to produce example matrices is to define a finite element problem. The Galeri package contains (in the Galeri::FiniteElement namespace) a set of classes that can be used to discretize scalar, second-order, symmetric and non-symmetric PDEs of type

{eqnarray*}

The Galeri finite element code is based on a set of abstract classes:

The solution can be visualized using MEDIT (see web page http://www.ann.jussieu.fr/~frey/logiciels/medit.html for details and download).

Probably, the easiest way to understand the finite element module is to browse the examples; see 3D Laplacian and 2D Advection-diffusion. File How to deal with AbstractGrid Classes shows how to use the AbstractGrid class.

Examples of solutions are reported below.

AdvDiffSquare.png

LaplaceCircle.png

LaplaceSquare.png

LaplaceSquareInSquare.png

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