Analysis of the PSPG method for the transient Stokes' problem - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2011

Analysis of the PSPG method for the transient Stokes' problem

Abstract

We propose a new analysis for the PSPG method applied to the transient Stokes' problem. Stability and convergence are obtained under different conditions on the discretization parameters depending on the approximation used in space. For the pressure we prove optimal stability and convergence only in the case of piecewise affine approximation under the standard condition on the time-step. Finally, we show that the stability problems of the PSPG method can be circumvented using an appropriate discrete reconstruction of the Laplacian operator.
Fichier principal
Vignette du fichier
RR-7074.pdf (922.15 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00426777 , version 1 (27-10-2009)
inria-00426777 , version 2 (28-10-2009)
inria-00426777 , version 3 (12-04-2011)

Identifiers

Cite

Erik Burman, Miguel Angel Fernández. Analysis of the PSPG method for the transient Stokes' problem. Computer Methods in Applied Mechanics and Engineering, 2011, 200 (41-44), pp.2882-2890. ⟨10.1016/j.cma.2011.05.001⟩. ⟨inria-00426777v3⟩
237 View
596 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More