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Rheolef 6.1: an efficient FEM C++ finite element library for solving PDERheolef: an efficient FEM C++ finite element library for solving PDE
Version : 6.1 Book: http://ljk.imag.fr/membres/Pierre.Sa...ef/rheolef.pdf Home: http://ljk.imag.fr/membres/Pierre.Saramito/rheolef Distibution: sources and binaries as debian packages Keywords: finite elements, numerical simulation, partial derivative equations, C++, meshes, graphics News: * 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. * multi-regions and non-constant coefficients. * 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 -- Pierre.Saramito@imag.fr Directeur de Recherche CNRS Laboratoire Jean Kuntzmann, Grenoble, France http://www-ljk.imag.fr/membres/Pierre.Saramito |

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