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A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case. (English) Zbl 1007.65091

The authors provide a new framework in which rectangular anisotropic as well as anisotropic and irregular grid cases can be analysed.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
76S05 Flows in porous media; filtration; seepage
76M10 Finite element methods applied to problems in fluid mechanics
65N15 Error bounds for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
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