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New constructions of domain decomposition methods for systems of PDEs. (English) Zbl 1071.65166

Summary: We propose new domain decomposition methods for systems of partial differential equations (PDEs) in two and three dimensions. The algorithms are derived with the help of the Smith factorization. This could also be validated by numerical experiments.

MSC:

65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
35Q30 Navier-Stokes equations
76D07 Stokes and related (Oseen, etc.) flows
65F10 Iterative numerical methods for linear systems
65F35 Numerical computation of matrix norms, conditioning, scaling
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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References:

[1] Proceedings of the 15th International Domain Decomposition Conference, 2003; Proceedings of the 15th International Domain Decomposition Conference, 2003
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