caa a22 4500 378860208 CHVBK 20180305123344.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0013 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0013 Mishev Ilya D. ExxonMobil Upstream Research Company, P.O. Box 2189, Houston, TX 77252-2189, U.S.A.. Analysis of a New Mixed Finite Volume Method [Elektronische Daten] [Ilya D. Mishev] A new mixed finite volume method for elliptic equations with tensor coefficients on rectangular meshes (2 and 3-D) is presented. The implementation of the discretization as a finite volume method for the scalar variable ("pressure”) is derived. The scheme is well suited for heterogeneous and anisotropic media because of the generalized harmonic averaging. It is shown that the method is stable and well posed. First-order error estimates are derived. The theoretical results are confirmed by the presented numerical experiments. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. error estimates nationallicence mixed finite elements nationallicence multipoint flux nationallicence Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 189-201 1609-4840 3:1<189 2003 3 cmam https://doi.org/10.2478/cmam-2003-0013 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0013 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mishev Ilya D. ExxonMobil Upstream Research Company, P.O. Box 2189, Houston, TX 77252-2189, U.S.A NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 189-201 1609-4840 3:1<189 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter