Higher order triangular finite elements with mass lumping for the wave equation.

Gary Cohen; Patrick Joly; Jean E. Roberts; Nathalie Tordjman

Higher order triangular finite elements with mass lumping for the wave equation.

Gary Cohen ¹ Patrick Joly ¹ Jean E. Roberts Nathalie Tordjman

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231

Abstract : In this article, we construct new higher order finite element spaces for the approximation of the two-dimensional (2D) wave equation. These elements lead to explicit methods after time discretization through the use of appropriate quadrature formulas which permit mass lumping. These formulas are constructed explicitly. Error estimates are provided for the corresponding semidiscrete problem. Finally, higher order finite difference time discretizations are proposed and various numerical results are shown.

Document type :

Journal articles

Complete list of metadatas

https://hal-ensta-paris.archives-ouvertes.fr//hal-01010373
Contributor : Aurélien Arnoux <>
Submitted on : Thursday, June 19, 2014 - 4:03:25 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM

Higher order triangular finite elements with mass lumping for the wave equation.

Identifiers

Collections

Citation

Export

Metrics

276

Contact

Higher order triangular finite elements with mass lumping for the wave equation.

Identifiers

Collections

Citation

Export

Share

Metrics

276

Contact