We consider finite element methods applied to a class of Sobolev equations in R<SUP>d</SUP>(d≥1). Global strong superconvergence, which only requires that partitions are quais-uniform, is investigated for the error between the approximat...
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https://www.riss.kr/link?id=A100593080
2001
English
학술저널
721-729(9쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
We consider finite element methods applied to a class of Sobolev equations in R<SUP>d</SUP>(d≥1). Global strong superconvergence, which only requires that partitions are quais-uniform, is investigated for the error between the approximat...
We consider finite element methods applied to a class of Sobolev equations in R<SUP>d</SUP>(d≥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<SUP>-1</SUP>. p(Ω) and L<SUB>p</SUB>(Ω) for 2≤p<∞. AMS Mathematics Subject Classification : Primary 65N15, Secondary 65N30
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