| Mortar型有限元方法的一类Mortar条件 |
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| 引用本文： | 姜亚琴. Mortar型有限元方法的一类Mortar条件[J]. 南京邮电大学学报(自然科学版), 2011, 31(1): 102-105 |
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| 作者姓名： | 姜亚琴 |
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| 作者单位： | 南京邮电大学,理学院,江苏,南京,210003 |
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| 摘 要： | 研究了mortar型有限元方法的逼近性,建立了一种mortar条件具备最优误差的标准,在满足该标准的基础上介绍了两个mortar条件。利用这两个mortar条件分别构建mortar型旋转Q1元与mortar型P1非协调元。通过检验mortar条件符合标准,证明了这两种mortar有限元方法对于椭圆问题有最优的误差估计。
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| 关 键 词： | mortar有限元 mortar条件 椭圆问题 |
A Mortar Condition for Mortar Finite Element Methods |
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| JIANG Ya-qin. A Mortar Condition for Mortar Finite Element Methods[J]. JJournal of Nanjing University of Posts and Telecommunications, 2011, 31(1): 102-105 |
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| Authors: | JIANG Ya-qin |
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| Affiliation: | JIANG Ya-qin College of Science,Nanjing University of Posts and Telecommunications,Nanjing 210003,China |
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| Abstract: | In this paper,we study the approximation of mortar finite element methods and establish a criterion for the optimal mortar condition.Based on the criterion,two mortar conditions are presented.Using the two mortar condition,we construct mortar rotated Q1 element and mortar P1 nonconforming element.By the mortar condition satisfying the criterion,we obtain optimal error estimates for elliptic problems. |
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| Keywords: | mortar finite element mortar condition elliptic problem |
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