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On the domain decomposition method for the generalized Stokes problem with continuous pressure

✍ Scribed by C. Calgaro; J. Laminie

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
428 KB
Volume
16
Category
Article
ISSN
0749-159X

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✦ Synopsis

Using the nonoverlapping domain decomposition approach, we propose a formulation of the dual Schur algorithm for the generalized Stokes problem discretized by a mixed finite element method continuous for the pressure in each subdomain, but discontinuous at the interfaces. The corresponding LBB condition is checked. The dual interface problem is written in the case of two subdomains, and it is generalized to several subdomains. An efficient preconditioner for the interface problem is derived. Numerical results are presented for two different local solvers. Parallel computations were made on an IBM-SP2.

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