Numerical comparison of robustness of some reduction methods in rough grids

Jiangyong Hou, Shuyu Sun, Zhangxin Chen

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)1484-1506
Number of pages23
JournalNumerical Methods for Partial Differential Equations
Issue number5
StatePublished - Apr 9 2014

ASJC Scopus subject areas

  • Computational Mathematics
  • Analysis
  • Applied Mathematics
  • Numerical Analysis


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