Finite element methods for sobolev equations
查看参考文献22篇
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文摘
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A new high-order time-stepping finite element method based upon the high-order nu-merical integration formula is formulated for Sobolev equations, whose computations con-sist of an iteration procedure coupled with a system of two elliptic equations. The optimal and superconvergence error estimates for this new method are derived both in space and in time. Also, a class of new error estimates of convergence and superconvergence for the time-continuous finite element method is demonstrated in which there are no time deriva-tives of the exact solution involved, such that these estimates can be bounded by the norms of the known data. Moreover, some useful a-posteriori error estimators are given on the basis of the superconvergence estimates. |
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来源
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Journal of Computational Mathematics
,2002,20(6):627-642 【核心库】
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关键词
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error estimates
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finite element
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Sobolev equation
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numerical integration
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地址
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1.
Department of Mathematics, Tianjin University of Finance and Economics, 天津, 300222
2.
Department of Mathematical Sciences, University of Alberta, 加拿大, Alberta T6G 2G6
3.
Department of Mathematics, Lamar University, 美国, Beaumont, TX 77710
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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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加拿大自然科学与工程研究理事会（NSERC）项目
;
国家教育部留学回国人员科研启动基金
;
国家973计划
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文献收藏号
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CSCD:1364045
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