Numerical comparison of robustness of some reduction methods in rough grids

Jiangyong Hou, Shuyu Sun, Zhangxin Chen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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
Volume30
Issue number5
DOIs
StatePublished - Apr 9 2014

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Contract grant sponsor: National Natural Science Foundation of China; contract grant number: No. 11371288

ASJC Scopus subject areas

  • Computational Mathematics
  • Analysis
  • Applied Mathematics
  • Numerical Analysis

Fingerprint Dive into the research topics of 'Numerical comparison of robustness of some reduction methods in rough grids'. Together they form a unique fingerprint.

Cite this