2016-02-172016-02-172007-09Codina Rovira, R. y González Ondina, J.M. (2007). On the mixed finite element approximation of wave problems. Application to shallow water flows.http://hdl.handle.net/11441/34938The 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Wave equationmixed problemsstabilized finite element methodsinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccesshttps://idus.us.es/xmlui/handle/11441/34938