Convergence of the multipoint flux approximation L‐method for homogeneous media on uniform grids | Zendy

Cao Yufei | Zendy; Helmig Rainer | Zendy; Wohlmuth Barbara I. | Zendy

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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

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