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Superconvergence of finite volume methods for the Stokes equations
Author(s) -
Cui Ming,
Ye Xiu
Publication year - 2009
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20399
Subject(s) - superconvergence , mathematics , finite volume method , finite volume method for one dimensional steady state diffusion , partial differential equation , volume (thermodynamics) , finite element method , projection (relational algebra) , mathematical analysis , stokes problem , polygon mesh , geometry , numerical partial differential equations , mechanics , algorithm , physics , thermodynamics , quantum mechanics
A general superconvergence result of finite volume method for the Stokes equations is obtained by using a L 2 projection post‐processing technique. This superconvergence result can be applied to different finite volume methods and to general quasi‐uniform meshes.© 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2009