Convergence of Multi Point Flux Approximations on Quadrilateral Grids
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چکیده
This paper presents a convergence analysis of the multi point flux approximation control volume method, MPFA, in two space dimensions. The MPFA version discussed here is the so–called O–method on general quadrilateral grids. The discretization is based on local mappings onto a reference square. The key ingredient in the analysis is an equivalence between the MPFA method and a mixed finite element method, using a specific numerical quadrature, such that the analysis of the MPFA method can be done in a finite element setting. c © ??? John Wiley & Sons, Inc.
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تاریخ انتشار 2005