Numerical comparison of robustness of some reduction methods in rough grids

In this article, we present three nonsymmetric mixed hybrid RT 1 2 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 rev...

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Bibliographic Details
Published in:Numerical methods for partial differential equations 2014-09, Vol.30 (5), p.1484-1506
Main Authors: Hou, Jiangyong, Sun, Shuyu, Chen, Zhangxin
Format: Article
Language:English
Subjects:
Approximation
BDM1
broken RT 1 2
broken RT12
distorted mesh
Distortion
Finite difference method
Finite element method
Flux
hybrid methods
Mathematical analysis
Mathematical models
MPFA-type mimetic finite difference method
multipoint flux approximation
multipoint flux mixed finite element method
nonsymmetric
Reduction
symmetric
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Summary:In this article, we present three nonsymmetric mixed hybrid RT 1 2 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 RT 1 2 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
ISSN:0749-159X
1098-2426
DOI:10.1002/num.21873