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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Metadaten
Author:O. Iliev, I. Rybak
URN:urn:nbn:de:hbz:386-kluedo-15417
Series (Serial Number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (119)
Document Type:Report
Language of publication:English
Year of Completion:2007
Year of first Publication:2007
Publishing Institution:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Date of the Publication (Server):2008/05/28
Tag:Multipoint flux approximation; anisotropy; discontinuous coefficients; elliptic equation; finite volume method
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011