Extrapolation of the bilinear element approximation for the poisson equation on anisotropic meshes

Qun Lin; Jia Fu Lin

doi:10.1002/num.20202

Extrapolation of the bilinear element approximation for the poisson equation on anisotropic meshes

Qun Lin^*
, Jia Fu Lin

^*Corresponding author for this work

School of Mathematics and Statistics

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	960-967
Number of pages	8
Journal	Numerical Methods for Partial Differential Equations
Volume	23
Issue number	5
DOIs	https://doi.org/10.1002/num.20202
Publication status	Published - Sept 2007

Keywords

Anisotropic
Bilinear element
Extrapolation

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10.1002/num.20202

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title = "Extrapolation of the bilinear element approximation for the poisson equation on anisotropic meshes",

abstract = "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.",

keywords = "Anisotropic, Bilinear element, Extrapolation",

author = "Qun Lin and Lin, \{Jia Fu\}",

year = "2007",

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doi = "10.1002/num.20202",

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pages = "960--967",

journal = "Numerical Methods for Partial Differential Equations",

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AU - Lin, Jia Fu

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N2 - 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.

AB - 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.

KW - Anisotropic

KW - Bilinear element

KW - Extrapolation

UR - https://www.scopus.com/pages/publications/34548542483

U2 - 10.1002/num.20202

DO - 10.1002/num.20202

M3 - Article

AN - SCOPUS:34548542483

SN - 0749-159X

VL - 23

SP - 960

EP - 967

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 5

ER -

Extrapolation of the bilinear element approximation for the poisson equation on anisotropic meshes

Abstract

Keywords

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