Rheolef: an efficient FEM C++ finite element library for solving PDE
Version : 6.2 Home:
Keywords: finite elements, numerical simulation, partial derivative equations, C++, meshes, graphics
News:
- nonlinear solvers improved (see p-laplace example)
- equations on a surface: implements three diferent FEM methods
- improves the high order Pk Lagrange interpolation implementation
- ports on intel c++ 12.0 and gnu c++ 4.7 new compiler versions
Previous features: Rheolef is a programming environment that serves as a convenient laboratory for computations involving finite element methods (FEM) for solving partial differential equations (PDE). Rheolef is both a C++ library and a set of commands for unix shell programming, providing algorithms and data structures.
- Algorithms refer to the most up-to-date ones: preconditioned sparse solvers for linear systems, incompressible elasticity, Stokes and Navier- Stokes flows, characteristic method for convection dominated heat problems, etc. Also nonlinear generic algorithms such as fixed point and damped Newton methods.
- Data structures fit the standard variational formulation concept: spaces, discrete fields, bilinear forms are C++ types for variables, that can be combined in any expressions, as you write it on the paper.
Combined together, as a Lego game, these bricks allows the user to solve most complex nonlinear problems. The concision and readability of codes written with Rheolef is certainly a major keypoint of this environment.
Main features
- [NEW] Massively distributed memory finite element environment, based on MPI.
- [NEW] High-order polynomial approximation.
- Poisson problems in dimension d=1,2,3.
- Stokes problems (d=2,3), with Taylor-Hood or stabilized P1 bubble-P1 elements.
- linear elasticity (d=1,2,3), including the incompressible case.
- characteristic method for time-dependent problems: transport, convection-difusion, and Navier-Stokes equations.
- input and output in various file format for meshes generators and numerical data visualization systems.
Advanced features
- auto-adaptive mesh algorithms.
- axisymetric problems.
- nonlinear problems with either fixed-point algorithms or a provided generic damped Newton solver.
- 3d stereo visualization
Both reference manual and users guide are available.
The license is GPL.
Pierre Saramito
-- snipped-for-privacy@imag.fr Directeur de Recherche CNRS Laboratoire Jean Kuntzmann, Grenoble, France