Abstract
In this article, we present three nonsymmetric mixed hybrid methods and compare with some recently developed reduction methods which are suitable for the single‐phase Darcy flow problem with full anisotropic and highly heterogeneous permeability on general quadrilateral grids. The methods reviewed are multipoint flux approximation (MPFA), multipoint flux mixed finite element method, mixed‐finite element with broken method, MPFA‐type mimetic finite difference method, and symmetric mixed‐hybrid finite element method. The numerical experiments of these methods on different distorted meshes are compared, as well as their differences in performance of fluxes are discussed. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1484–1506, 2014
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