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Efficient C++ finite element computing with Rheolef : volume 2: discontinuous Galerkin methods

Pierre Saramito 1 
1 EDP - Equations aux Dérivées Partielles
LJK - Laboratoire Jean Kuntzmann
Abstract : Rheolef is a programming environment for finite element method computing.
This second volume is dedicated to discontinuous Galerkin methods.

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.

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.

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Submitted on : Friday, June 3, 2016 - 3:31:52 PM
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  • HAL Id : cel-00863021, version 3



Pierre Saramito. Efficient C++ finite element computing with Rheolef : volume 2: discontinuous Galerkin methods. DEA. Grenoble, France, France. 2015, pp.56. ⟨cel-00863021v3⟩



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