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Extrapolation of the bilinear element approximation for the Poisson equation on anisotropic meshes
Author(s) -
Lin Qun,
Lin Jiafu
Publication year - 2007
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.20202
Subject(s) - bilinear interpolation , extrapolation , mathematics , polygon mesh , interpolation (computer graphics) , poisson's equation , finite element method , poisson distribution , mathematical analysis , partial differential equation , asymptotic expansion , geometry , computer science , statistics , physics , thermodynamics , animation , computer graphics (images)
The bilinear finite element approximation for the Poisson equation has an asymptotic error expansion on the anisotropic rectangular meshes. Extrapolation can be obtained based on this expansion and the postprocessing interpolation. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2007