A class of indefinite overlapping Schwarz methods is introduced and studied for time-dependent Stokes problems, discretized with either mixed finite elements or mixed spectral elements. The methods proposed are based on the solution of local time-dependent Stokes problems on overlapping subdomains and on the solution of a coarse time-dependent Stokes problem defined on the coarse subdomain mesh. The resulting preconditioner is accelerated by an appropriate Krylov space method, producing a very efficient, scalable and parallel solver. (C) 2000 Elsevier Science S.A. All rights reserved.
Indefinite overlapping Schwarz methods for time-dependent Stokes problems / L.F. Pavarino. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 187:1-2(2000), pp. 35-51. [10.1016/S0045-7825(99)00326-6]
Indefinite overlapping Schwarz methods for time-dependent Stokes problems
L.F. PavarinoPrimo
2000
Abstract
A class of indefinite overlapping Schwarz methods is introduced and studied for time-dependent Stokes problems, discretized with either mixed finite elements or mixed spectral elements. The methods proposed are based on the solution of local time-dependent Stokes problems on overlapping subdomains and on the solution of a coarse time-dependent Stokes problem defined on the coarse subdomain mesh. The resulting preconditioner is accelerated by an appropriate Krylov space method, producing a very efficient, scalable and parallel solver. (C) 2000 Elsevier Science S.A. All rights reserved.
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