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Analysis of the PSPG method for the transient Stokes’ problem

✍ Scribed by Erik Burman; Miguel A. Fernández

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
514 KB
Volume
200
Category
Article
ISSN
0045-7825

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✦ Synopsis

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 Laplace operator.

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