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On a multiscale approach to the transient Stokes problem: dynamic subscales and anisotropic space-time discretization

Autor
Badia, S.; Codina, R.
Tipus d'activitat
Article en revista
Revista
Applied mathematics and computation
Data de publicació
2009-01
Volum
207
Número
2
Pàgina inicial
415
Pàgina final
433
DOI
https://doi.org/10.1016/j.amc.2008.10.059 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0096300308008291 Obrir en finestra nova
Resum
In this article, we analyze some residual-based stabilization techniques for the transient Stokes problem when considering anisotropic time–space discretizations. We define an anisotropic time–space discretization as a family of time–space partitions that does not satisfy the condition h2¿Cdth2¿Cdt with C uniform with respect to h and dt. Standard residual-based stabilization techniques are motivated by a multiscale approach, approximating the effect of the subscales onto the large scale...
Paraules clau
Convergence, Dynamic subscales, Multiscale, Stability, Stabilized finite elements, Stokes
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

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