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Convergence of the multipoint flux approximation L‐method for homogeneous media on uniform grids
Author(s) -
Cao Yufei,
Helmig Rainer,
Wohlmuth Barbara I.
Publication year - 2011
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20525
Subject(s) - convergence (economics) , homogeneous , mathematics , equivalence (formal languages) , boundary (topology) , mathematical analysis , finite element method , partial derivative , pure mathematics , combinatorics , physics , economics , thermodynamics , economic growth
In this article, we show the convergence of the multipoint flux approximation (MPFA) L‐method. To do so, we introduce a boundary modification of the original MPFA L‐method. On basis of this local modification, we obtain the equivalence between the MPFA L‐method and a conforming finite element approach with modified right hand side. The influence of the modified right hand side can be easily analyzed within the abstract framework of variational crimes. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011