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Domain decomposition for the incompressible Navier–Stokes equations: solving subdomain problems accurately and inaccurately
Author(s) -
Brakkee E.,
Vuik C.,
Wesseling P.
Publication year - 1998
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19980615)26:10<1217::aid-fld693>3.0.co;2-m
Subject(s) - schwarz alternating method , domain decomposition methods , generalized minimal residual method , krylov subspace , additive schwarz method , convergence (economics) , domain (mathematical analysis) , mathematics , acceleration , incompressible flow , mathematical optimization , flow (mathematics) , feti , computer science , algorithm , iterative method , finite element method , mathematical analysis , geometry , physics , classical mechanics , economics , thermodynamics , economic growth
For the solution of practical flow problems in arbitrarily shaped domains, simple Schwarz domain decomposition methods with minimal overlap are quite efficient, provided Krylov subspace methods, e.g. the GMRES method, are used to accelerate convergence. With an accurate subdomain solution, the amount of time spent solving these problems may be quite large. To reduce computing time, an inaccurate solution of subdomain problems is considered, which requires a GCR‐based acceleration technique. Much emphasis is put on the multiplicative domain decomposition algorithm since we also want an algorithm which is fast on a single processor. Nevertheless, the prospects for parallel implementation are also investigated. © 1998 John Wiley & Sons, Ltd.