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

Autor
Espinoza, H.; Codina, R.; Badia, S.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2015-11
Volum
296
Pàgina inicial
295
Pàgina final
326
DOI
https://doi.org/10.1016/j.cma.2015.07.016 Obrir en finestra nova
Projecte finançador
Computational Methods for Fusion Technology (COMFUS)
Repositori
http://hdl.handle.net/2117/81095 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0045782515002285 Obrir en finestra nova
Resum
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...
Citació
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.
Paraules clau
CONVERGENCE, DISCRETIZATION, DISPERSION, Dispersion, Dissipation, FORM, FORMULATIONS, Fourier analysis, LOW-DISSIPATION, Mixed wave equation, ORTHOGONAL SUBSCALES, STOKES, TRANSPORT PROBLEMS, Time marching schemes, VARIATIONAL MULTISCALE METHOD, von Neumann analysis
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants

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