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On the mixed finite element approximation of wave problems. Application to shallow water flows

Opened Access On the mixed finite element approximation of wave problems. Application to shallow water flows
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Autor: Codina Rovira, Ramón
González Ondina, José María
Fecha: 2007-09
Publicado en: XX Congreso de Ecuaciones Diferenciales y Aplicaciones. Sevilla, 24-28 de septiembre de 2007
Tipo de documento: Ponencia
Resumen: The purpose of this paper is to present a finite element approximation of the scalar hyperbolic wave equation written in mix 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 formulation is extended also to the modified Boussinesq equations as a model for waves in shallow water flows.
Tamaño: 203.4Kb
Formato: PDF

URI: http://hdl.handle.net/11441/34938

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