TY - RPRT A1 - Ewing, R. A1 - Iliev, O. A1 - Lazarov, R. A1 - Rybak, I. T1 - On two-level preconditioners for flow in porous media N2 - Two-level domain decomposition preconditioner for 3D flows in anisotropic highly heterogeneous porous media is presented. Accurate finite volume discretization based on multipoint flux approximation (MPFA) for 3D pressure equation is employed to account for the jump discontinuities of full permeability tensors. DD/MG type preconditioner for above mentioned problem is developed. Coarse scale operator is obtained from a homogenization type procedure. The influence of the overlapping as well as the influence of the smoother and cell problem formulation is studied. Results from numerical experiments are presented and discussed. T3 - Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) - 121 KW - Multiscale problem KW - Darcy’s law KW - single phase flow KW - numerical upscaling KW - multigrid Y1 - 2007 UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1975 UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-15430 ER -