We present a covolume method for the modiยฎed Stokes problem using the simplest approximation spaces, Q 1 ยฑP 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
Covolume method for new nonconforming rectangle element for the Stokes problem
โ Scribed by Kab Seok Kang; Do Young Kwak
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 927 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
we analyze a covolume method based on the new nonconforming element introduced by Douglas et al. [l]. We show the H' optimal order convergence of the scheme for Stokes problem and study the hybrid domain decomposition procedure for this covolume scheme. The numerical experiment shows that the covolume scheme is somewhat better than finite element scheme in the computation of pressure.
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