国家自然科学基金(10571006)

作品数：5被引量：23H指数：2
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A POSTERIORI ERROR ESTIMATES OF A NON-CONFORMING FINITE ELEMENT METHOD FOR PROBLEMS WITH ARTIFICIAL BOUNDARY CONDITIONS
《Journal of Computational Mathematics》2009年第6期677-696,共20页Xianmin Xu Zhiping Li 
supported by the Special Funds for Major State Basic Research Projects(2005CB321701);NSFC(10431050, 10571006 and 10528102);RFDP of China
An a posteriori error estimator is obtained for a nonconforming finite element approximation of a linear elliptic problem, which is derived from a corresponding unbounded domain problem by applying a nonlocal approxim...
关键词：a posteriori estimate nonconforming finite element method artificial boundary conditions 
A POSTERIORI ESTIMATOR OF NONCONFORMING FINITE ELEMENT METHOD FOR FOURTH ORDER ELLIPTIC PERTURBATION PROBLEMS被引量：1
《Journal of Computational Mathematics》2008年第4期554-577,共24页Shuo Zhang Ming Wang 
supported by the National Natural Science Foundation of China (10571006)
In this paper, we consider the nonconforming finite element approximations of fourth order elliptic perturbation problems in two dimensions. We present an a posteriori error estimator under certain conditions, and giv...
关键词：Fourth order elliptic perturbation problems Nonconforming finite elementmethod A posteriori error estimator Adaptive algorithm Local behavior. 
LOCAL A PRIORI AND A POSTERIORI ERROR ESTIMATE OF TQC9 ELEMENT FOR THE BIHARMONIC EQUATION
《Journal of Computational Mathematics》2008年第2期196-208,共13页Ming Wang Weimeng Zhang 
supported by the National Natural Science Foundation of China (10571006) and RFDP of China
In this paper, local a priori, local a posteriori and global a posteriori error estimates are obtained for TQC9 element for the biharmonic equation. An adaptive algorithm is given based on the a posteriori error estim...
关键词：Finite element Biharmonic equation Apriori error estimate Aposteriori error estimate TQC9 element 
SOME n-RECTANGLE NONCONFORMING ELEMENTS FOR FOURTH ORDER ELLIPTIC EQUATIONS被引量：15
《Journal of Computational Mathematics》2007年第4期408-420,共13页Ming Wang Zhong-Ci Shi Jinchao Xu 
The work of the first author was supported by the National Natural Science Fbundation of china(10571006);The work of the shird author was supperted by the Changjiang Professorship of the Ministry of Education of China through Peking University
In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any high...
关键词：Nonconforming finite element Forth order elliptic equation Biharmonic. 
MODIFIED MORLEY ELEMENT METHOD FOR A FOURTH ORDER ELLIPTIC SINGULAR PERTURBATION PROBLEM被引量：9
《Journal of Computational Mathematics》2006年第2期113-120,共8页Ming Wang Jin-chao Xu Yu-cheng Hu 
The work of the first author was supported by the National Natural Science Foundation of China （10571006）. The work of the second author was supported by National Science Foundation DMS-0209479 and DMS-0215392 and the Changjiang Professorship through Peking University.
This paper proposes a modified Morley element method for a fourth order elliptic singular perturbation problem. The method also uses Morley element or rectangle Morley element, but linear or bilinear approximation of ...
关键词：Morley element Singular perturbation problem. 
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