caa a22 4500 463177614 CHVBK 20180406164829.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10596-006-9039-1 doi (NATIONALLICENCE)springer-10.1007/s10596-006-9039-1 Mannseth Trond Centre for Integrated Petroleum Research, University of Bergen, Bergen, Norway aut Analysis and comparison of mixed finite element and multipoint flux approximation methods for homogeneous media [Elektronische Daten] [Trond Mannseth] We consider discretization on quadrilateral grids of an elliptic operator occurring, for example, in the pressure equation for porous-media flow. In a realistic setting - with non-orthogonal grid, and anisotropic, heterogeneous permeability - special discretization techniques are required. Mixed finite element (MFE) and multipoint flux approximation (MPFA) are two methods that can handle such situations. Previously, a framework for analytical comparison of MFE and MPFA in special cases has been suggested. A comparison of MFE and MPFA-O (one of two main variants of MPFA) for isotropic, homogeneous permeability on a uniformly distorted grid was also performed. In the current paper, we utilize the suggested framework in a slightly different manner to analyze and compare MFE, MPFA-O and MPFA-U (the second main variant of MPFA). We reconsider the case previously analyzed. We also consider the case of generally anisotropic, homogeneous permeability on an orthogonal grid. Springer Science+Business Media, Inc., 2007 analysis nationallicence general anisotropy nationallicence mixed finite element nationallicence multipoint flux approximation nationallicence uniformly distorted grid nationallicence Computational Geosciences Kluwer Academic Publishers 11/1(2007-03-01), 59-72 1420-0597 11:1<59 2007 11 10596 https://doi.org/10.1007/s10596-006-9039-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10596-006-9039-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mannseth Trond Centre for Integrated Petroleum Research, University of Bergen, Bergen, Norway aut NATIONALLICENCE 773 0- Computational Geosciences Kluwer Academic Publishers 11/1(2007-03-01), 59-72 1420-0597 11:1<59 2007 11 10596 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer