Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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TWO ORDER SUPERCONVERGENCE OF FINITE ELEMENT METHODS FOR SOBOLEV EQUATIONS

  • Li, Qian (Department of Mathematics Shandong Normal University Jinan) ;
  • Wei, Hong (Institute of Mathematics, Chese Academy of Sciences)
  • Published : 2001.09.01

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Abstract

We consider finite element methods applied to a class of Sobolev equations in $R^d$($d{\geq}1$). Global strong superconvergence, which only requires that partitions are quais-uniform, is investigated for the error between the approximate solution and the Ritz-Sobolev projection of the exact solution. Two order superconvervgence results are demonstrated in $W^{1,p}({\Omega})$ and $L_p({\Omega})$ for $2{\leq}p$＜${\infty}$.

Keywords

References

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