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efficient Finite Element environment

efficient Finite Element environment
from version 6.5-1build1
Solution of the 3D Poisson problem
Solution of the 3D Poisson problem


Rheolef is a computer environment that serves as a convenient laboratory for computations in applied mathematics involving finite element-like methods. It provides a set of commands and C++ algorithms and containers.

Most basically, containers cover the classic graph data structure for sparse matrix formats and finite element meshes. At a higher level of abstraction, they can handle approximate finite element spaces, discrete fields. Flexible and powerful expressions are used to specify bilinear forms.

Current applications include:
 * massively distributed memory finite element environment, based on MPI;
 * Poisson problems in d=1,2 and 3 dimension with high order Lagrange elements,
   up to fifth order;
 * linear elasticity, including incompressible and nearly incompressible
 * Stokes problems in d=2 or 3 dimension, with P2-P1 or P1 bubble-P1 elements;
 * characteristic method for convection-diffusion, time-dependent
   problems and Navier-Stokes equations;
 * nonlinear problems with either fixed-point algorithms or a provided generic
   damped Newton solver;
 * auto-adaptive mesh approaches;
 * axisymmetric problems;
 * multi-regions and variable coefficient problems.

This package provides the rheolef commands. These support input and output in various file formats for mesh-generators and numerical data visualization systems such as MayaVi, Paraview, and gnuplot.

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