A new family of mixed finite elements for the linear elastodynamic problem - ENSTA Paris - École nationale supérieure de techniques avancées Paris
Article Dans Une Revue SIAM Journal on Numerical Analysis Année : 2002

A new family of mixed finite elements for the linear elastodynamic problem

Eliane Bécache
Propagation des Ondes : Étude Mathématique et Simulation
CV
Patrick Joly
Propagation des Ondes : Étude Mathématique et Simulation
CV
Chrysoula Tsogka
  • Fonction : Auteur

Résumé

We construct and analyze a new family of quadrangular (in two dimensions) or cubic (in three dimensions) mixed finite elements for the approximation of elastic wave equations. Our elements lead to explicit schemes (via mass lumping), after time discretization, including in the case of anisotropic media. Error estimates are given for these new elements. Copyright © 2002 Society for Industrial and Applied Mathematics

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https://ensta-paris.hal.science/hal-00990102

Soumis le : mardi 13 mai 2014-09:56:06

Dernière modification le : mardi 6 août 2024-10:56:09

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hal-00990102 , version 1 (13-05-2014)

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Eliane Bécache, Patrick Joly, Chrysoula Tsogka. A new family of mixed finite elements for the linear elastodynamic problem. SIAM Journal on Numerical Analysis, 2002, 39 (6), pp.2109-2132. ⟨10.1137/S0036142999359189⟩. ⟨hal-00990102⟩

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