caa a22 4500 378867342 CHVBK 20180305123401.0 cr unu---uuuuu 161128e20030901xx s 000 0 eng 10.1515/156939503322553072 doi (NATIONALLICENCE)gruyter-10.1515/156939503322553072 A domain decomposition algorithm for general covolume methods for elliptic problems [Elektronische Daten] [S. H. Chou, J. Huang] In this paper we introduce and analyze a two-level Schwarz additive domain decomposition method used as a preconditioner of a GMRES algorithm for solving unsymmetric systems arising from the finite volume element or covolume methods for elliptic problems. The subproblems are solved by inexact solvers. We show that the method converges for both circumcentric and barycentric covolume methods. In the generous overlap case, the method is shown to be optimal, i.e., the conditioner number is uniformly bounded in coarse and fine mesh sizes. Copyright 2003, Walter de Gruyter covolume method nationallicence domain decomposition nationallicence finite volume element nationallicence GMRES nationallicence Chou S. H. Department of Mathematics and Statistics, Bowling Green State University, Bowling Green,Ohio, 43403-0221 aut Huang J. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, P. R. China aut Journal of Numerical Mathematics Walter de Gruyter 11/3(2003-09-01), 179-194 1570-2820 11:3<179 2003 11 jnma https://doi.org/10.1515/156939503322553072 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939503322553072 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chou S. H. Department of Mathematics and Statistics, Bowling Green State University, Bowling Green,Ohio, 43403-0221 aut NATIONALLICENCE 700 1- Huang J. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, P. R. China aut NATIONALLICENCE 773 0- Journal of Numerical Mathematics Walter de Gruyter 11/3(2003-09-01), 179-194 1570-2820 11:3<179 2003 11 jnma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter