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Rheolef: an efficient FEM C++ finite element library for solving PDE

Posted By: Saramito Pierre
Date:Wed, 15 May 2013, 4:16 p.m.

Rheolef: an efficient FEM C++ finite element library for solving PDE

Version : 6.4 Home: Book:

News in 6.4: * powerful and flexible expressions for bilinear forms specifications

Distibution: sources and binaries as debian & ubuntu packages. The license is GPL.

Keywords: finite element method (FEM), partial derivative equations (PDE), C++

------------- Summary ------------- 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 ------------- * 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 ----------------- * massively distributed memory finite element environment, based on MPI. * high-order polynomial approximation. * auto-adaptive mesh algorithms. * axisymetric problems. * nonlinear Newton-like PDE solvers * solve equations on 3d surfaces * 3d stereo visualization

Pierre Saramito -- Directeur de Recherche CNRS Laboratoire Jean Kuntzmann, Grenoble, France


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