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...
Keywords: covolume method, domain decomposition, finite volume element, GMRES
09/2003 | Journal of Numerical Mathematics, Walter de GruyterIn this paper we propose and analyze a class of finite volume element method for solving a second order elliptic boundary value problem whose solution is defined in more than one length scales...
Keywords: Multiscale method, finite volume element, flow in porous media
06/2004 | Journal of Numerical Mathematics, Walter de Gruyter