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Acceleration of a domain decomposition method for advection-diffusion problems. (English) Zbl 1066.65147

Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 267-274 (2005).
Summary: For advection-diffusion problems we show that a non-overlapping domain decomposition method with interface conditions of Robin type can be accelerated by using a critical parameter of the transmission condition in a cyclic way.
For the entire collection see [Zbl 1049.65003].

MSC:

65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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