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曲边区域上抛物问题的有限元分析
引用本文:石东洋,周家全. 曲边区域上抛物问题的有限元分析[J]. 河南师范大学学报(自然科学版), 2007, 35(1): 1-4
作者姓名:石东洋  周家全
作者单位:郑州大学,数学系,郑州,450052
摘    要:讨论线性三角形单元对曲边区域上半离散格式下抛物问题的有限元误差分析.通过引入新的证明方法和技巧,得到了最优误差估计,弥补了以往文献的不足.

关 键 词:曲边区域  半离散  抛物问题  最优误差估计
文章编号:1000-2367(2007)01-0001-04
修稿时间:2006-08-12

Finite Element Analysis of Parabolic Problem in the Domain with Curved Boundaries
SHI Dong-yang,ZHOU Jia-quan. Finite Element Analysis of Parabolic Problem in the Domain with Curved Boundaries[J]. Journal of Henan Normal University(Natural Science), 2007, 35(1): 1-4
Authors:SHI Dong-yang  ZHOU Jia-quan
Abstract:In this paper the linear triangular finite element approximation to the Parabolic Problem in the domain with curved boundaries is studied.By use of novel approaches and techniques,the optimal error estimates are obtained.Thus the deficiencies of the previous studies are overcome.
Keywords:domain with curved boundaries  semidiscrete  Parabolic Problem  optimal error estimates
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