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: | 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 |