An analysis of some nonconforming approximations of the Stokes problem is presented. The approximations are based on a strain-pressure variational formulation. In particular, a convergence and stability result for a method recently proposed by Bathe and Pantuso is provided.
Finite element methods for the Stokes problem in R3
β Scribed by S. Hong; S. Lee
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 364 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
Communicated by F. Brezzi
Abstract--We show that the mixed finite element approximation scheme with pressure stabilization for the Stokes problem in R 3 is stable for some tetrahedral elements including the P++I -Pk-1 element and'the cross-grid Pk+l -Pk-1 element, k > 2. (~) 2000 Elsevier Science Ltd. All rights reserved.
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