## On approximation property of multipoint flux approximation method

• Approximation property of multipoint flux approximation (MPFA) approach for elliptic equations with discontinuous full tensor coefficients is discussed here. Finite volume discretization of the above problem is presented in the case of jump discontinuities for the permeability tensor. First order approximation for the fluxes is proved. Results from numerical experiments are presented and discussed.

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Author: O. Iliev, I. Rybak urn:nbn:de:hbz:386-kluedo-15417 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (119) Report English 2007 2007 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 2008/05/28 Multipoint flux approximation ; anisotropy; discontinuous coefficients ; elliptic equation ; finite volume method Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$