On some time marching schemes for the stabilized finite element approximation of the mixed wave equation

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dc.contributor	Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor	Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica
dc.contributor.author	Espinoza Román, Héctor Gabriel
dc.contributor.author	Codina, Ramon
dc.contributor.author	Badia, Santiago
dc.date	2015-11
dc.identifier.citation	Espinoza, H., Codina, R., Badia, S. On some time marching schemes for the stabilized finite element approximation of the mixed wave equation. "Computer methods in applied mechanics and engineering", Novembre 2015, vol. 296, p. 295-326.
dc.identifier.citation	0045-7825
dc.identifier.citation	10.1016/j.cma.2015.07.016
dc.identifier.uri	http://hdl.handle.net/2117/81095
dc.language.iso	eng
dc.relation	http://www.sciencedirect.com/science/article/pii/S0045782515002285
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subject	Wave equation
dc.subject	Time marching schemes
dc.subject	Dispersion
dc.subject	Dissipation
dc.subject	von Neumann analysis
dc.subject	Fourier analysis
dc.subject	Mixed wave equation
dc.subject	VARIATIONAL MULTISCALE METHOD
dc.subject	ORTHOGONAL SUBSCALES
dc.subject	TRANSPORT PROBLEMS
dc.subject	LOW-DISSIPATION
dc.subject	CONVERGENCE
dc.subject	DISPERSION
dc.subject	STOKES
dc.subject	FORM
dc.subject	DISCRETIZATION
dc.subject	FORMULATIONS
dc.subject	Ones (Matemàtica)
dc.title	On some time marching schemes for the stabilized finite element approximation of the mixed wave equation
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	In this paper we analyze time marching schemes for the wave equation in mixed form. The problem is discretized in space using stabilized finite elements. On the one hand, stability and convergence analyses of the fully discrete numerical schemes are presented using different time integration schemes and appropriate functional settings. On the other hand, we use Fourier techniques (also known as von Neumann analysis) in order to analyze stability, dispersion and dissipation. Numerical convergence tests are presented for various time integration schemes, polynomial interpolations (for the spatial discretization), stabilization methods, and variational forms. To analyze the behavior of the different schemes considered, a 1D wave propagation problem is solved. (C) 2015 Elsevier B.V. All rights reserved.
dc.description.abstract	Peer Reviewed

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