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A stabilized covolume method for the Stokes problem

✍ Scribed by Do Y. Kwak; Hyun J. Kwon

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 144 KB
Volume: 190
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(00)00250-4

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✦ Synopsis

We present a covolume method for the modi®ed Stokes problem using the simplest approximation spaces, Q 1 ±P 0 . This scheme turns out the stabilized covolume method for the Stokes problem. We prove that the covolume method in this paper has a unique solution and Oh convergence order in H 1 semi-norm for the velocity and in L 2 norm the pressure approximants, respectively. We also present numerical results corresponding to our analysis.

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