https://cel.archives-ouvertes.fr/cel-00573970v12Saramito, PierrePierreSaramitoEDP - Equations aux Dérivées Partielles - LJK - Laboratoire Jean Kuntzmann - UPMF - Université Pierre Mendès France - Grenoble 2 - UJF - Université Joseph Fourier - Grenoble 1 - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - CNRS - Centre National de la Recherche ScientifiqueEfficient C++ finite element computing with RheolefHAL CCSD2015Finite Element Method FEMC++ LIBRARYNavier Stokes EquationsCharacteristic MethodElasticity equations[MATH] Mathematics [math][PHYS] Physics [physics][INFO] Computer Science [cs][NLIN] Nonlinear Sciences [physics][SPI] Engineering Sciences [physics][MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]Saramito, Pierre2015-09-12 08:09:002021-12-02 21:02:082015-09-15 11:47:23enLectureshttps://cel.archives-ouvertes.fr/cel-00573970v15application/pdf12Rheolef is a programming environment for finite element method computing. <br><br> This Book presents in details how some simple and more complex problems from solid and fluid mechanics can be solved, most of them in less than 20 lines of code. The concision and readability of codes written with Rheolef is certainly a major keypoint of this environment. <br><br> Data structures fit the variational formulation concept of partial differential equations: fields, bilinear forms and functional spaces are C++ types for variables. They can be combined in expressions, as you write it on the paper. As a Lego game, these bricks allows the user to solve most complex nonlinear problems. 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. <br><br> Software home page is: http://www-ljk.imag.fr/membres/Pierre.Saramito/rheolef