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Chapitre D'ouvrage Année : 2007

Life: Overview of a Unified C++ Implementation of the Finite and Spectral Element Methods in 1D, 2D and 3D

Résumé

This article presents an overview of a unified framework for finite element and spectral element methods in 1D, 2D and 3D in C++ called Life. The objectives of this framework are quite ambitious and could be expressed in various ways: (i) the creation of a versatile mathematical kernel allowing for easily solving problems using different techniques thus allowing testing and comparing methods, e.g. cG versus dG, (ii) the creation of a small and manageable library which shall nevertheless encompass a wide range of numerical methods and techniques, and (iii) build mathematical software that follows closely the mathematical abstractions associated with the partial differential equations to be solved.

Dates et versions

hal-00319983 , version 1 (09-09-2008)

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Christophe Prud'Homme. Life: Overview of a Unified C++ Implementation of the Finite and Spectral Element Methods in 1D, 2D and 3D. PARA 2006: Applied Parallel Computing. State of the Art in Scientific Computing, 4699, Springer, pp.712-721, 2007, Lecture Notes in Computer Science, ⟨10.1007/978-3-540-75755-9_87⟩. ⟨hal-00319983⟩
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