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Finite element approximation of the hyperbolic wave equation in mixed form

Author
Codina, R.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2008-02
Volume
197
Number
13-16
First page
1305
Last page
1322
DOI
https://doi.org/10.1016/j.cma.2007.11.006 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0045782507004550 Open in new window
Abstract
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 ...
Keywords
Hyperbolic wave equation, Orthogonal subscales, Stabilized finite element methods
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants