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Finite element approximation of the hyperbolic wave equation in mixed form

Autor
Codina, R.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2008-02
Volum
197
Número
13-16
Pàgina inicial
1305
Pàgina final
1322
DOI
https://doi.org/10.1016/j.cma.2007.11.006 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0045782507004550 Obrir en finestra nova
Resum
The purpose of this paper is to present a finite element approximation of the scalar hyperbolic wave equation written in mixed form, that is, introducing an auxiliary vector field to transform the problem into a first-order problem in space and time. We explain why the standard Galerkin method is inappropriate to solve this problem, and propose as alternative a stabilized finite element method that can be cast in the variational multiscale framework. The unknown is split into its finite element ...
Paraules clau
Hyperbolic Wave Equation, Orthogonal Subscales, Stabilized Finite Element Methods
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants