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Stokes, Maxwell and Darcy: a single finite element approximation for three model problems

Autor
Badia, S.; Codina, R.
Tipus d'activitat
Article en revista
Revista
Applied numerical mathematics
Data de publicació
2012-04
Volum
62
Número
4
Pàgina inicial
246
Pàgina final
263
DOI
https://doi.org/10.1016/j.apnum.2011.07.001 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/15742 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0168927411001097 Obrir en finestra nova
Resum
In this work we propose stabilized finite element methods for Stokes', Maxwell's and Darcy's problems that accommodate any interpolation of velocities and pressures. We briefly review the formulations we have proposed for these three problems independently in a unified manner, stressing the advantages of our approach. In particular, for Darcy's problem we are able to design stabilized methods that yield optimal convergence both for the primal and the dual problems. In the case of Maxwell's probl...
Citació
S. Badia; Codina, R. Stokes, Maxwell and Darcy: a single finite element approximation for three model problems. "Applied numerical mathematics", Abril 2012, vol. 62, núm. 4, p. 246-263.
Paraules clau
Compatible approximations, Nodal interpolations, Primal and dual problems, Singular solutions, Stabilized finiteelements
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants

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