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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参考文献 共
23
共2页
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|
1.
Lin Q.
J. Math. Study,1999,32(3):217-231
|
CSCD被引
1
次
|
|
|
|
|
2.
Lin Q.
The Preprocessing and Postprocessing for the Finite Element Method,1994
|
CSCD被引
16
次
|
|
|
|
|
3.
Nitsche J.
Math. Comp,1974,28(11):937-958
|
CSCD被引
3
次
|
|
|
|
|
4.
Sloan I H.
SIAM J. Numer. Anal.,1996,33:505-521
|
CSCD被引
1
次
|
|
|
|
|
5.
Schatz A H.
Nath. Comp,1995
|
CSCD被引
1
次
|
|
|
|
|
6.
Strang G.
An analysis of the finite element methods,1973
|
CSCD被引
1
次
|
|
|
|
|
7.
Wahlbin L B.
Superconvergence in Galerkin finite element methods, Lecture Notes in Mathematics 1605,1995
|
CSCD被引
15
次
|
|
|
|
|
8.
Wahlbin L B.
Pure and Applied Mathematics,1998,196:269-286
|
CSCD被引
1
次
|
|
|
|
|
9.
Zhang T.
Mathematca numerica sinica,2000,23(1):1-8
|
CSCD被引
1
次
|
|
|
|
|
10.
Zhang Z M.
Mathm. Comp.,1996,65(216)
|
CSCD被引
1
次
|
|
|
|
|
11.
Zhang Z M.
Math. Comp.,2000,69:141-158
|
CSCD被引
5
次
|
|
|
|
|
12.
Zhang Z M.
Comput. Mathds Appl. Mech. Engrg.,1995,123:173-187
|
CSCD被引
3
次
|
|
|
|
|
13.
Zhang Z M.
Comput. Mehtods Appl. Mech. Engrg.,1998,163:159-170
|
CSCD被引
3
次
|
|
|
|
|
14.
Zhang Z M.
Numer. Methods for PDEs,1996,12:507-524
|
CSCD被引
4
次
|
|
|
|
|
15.
Zhu Q D.
Proceedings of the China-France Symposium on Finite Element Methods,1983:935-960
|
CSCD被引
2
次
|
|
|
|
|
16.
Zhu Q D.
Natur. Sci. J.,1981,3:36-45
|
CSCD被引
1
次
|
|
|
|
|
17.
Zhu Q D.
Natur. Sci. J., Xiangtan University,1985,9:10-26
|
CSCD被引
2
次
|
|
|
|
|
18.
Zhu Q D.
Lecture Notes in Pure and Applied Mathematics,1998,196:287-302
|
CSCD被引
1
次
|
|
|
|
|
19.
Zhu Q D.
Applications of Mathematics,1998,43:401-411
|
CSCD被引
5
次
|
|
|
|
|
20.
Zhu Q D.
The superconvergence theory of finite element methods (in Chinese),1989
|
CSCD被引
1
次
|
|
|
|
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