THE DERIVATIVE ULTRACONVERGENCE FOR QUADRATIC TRIANGULAR FINITE ELEMENTS
查看参考文献23篇
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文摘
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This work concerns the ultraconvergence of quadratic finite element approximations of elliptic boundary value problems. A new, discrete least-squares patch recovery technique is proposed to post-process the solution derivatives. Such recovered derivatives are shown to possess ultraconvergence. The keys in the proof are the asymptotic expansion of the bilinear form for the interpolation error and a "localized" symmetry argument. Numerical results are presented to confirm the analysis. |
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来源
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Journal of Computational Mathematics
,2004,22(6):857-864 【核心库】
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关键词
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Ultra-closeness
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Superconvergence patch recovery (SPR)
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Ultraconvergence
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地址
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College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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0254-9409 |
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学科
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数学 |
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基金
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国家自然科学基金
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文献收藏号
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CSCD:1848018
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