ULTRACONVERGENCE

作品数：6被引量：8H指数：2
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相关领域：理学更多>>
相关期刊：《Applied Mathematics and Mechanics(English Edition)》《Science China Mathematics》《Journal of Computational Mathematics》《Numerical Mathematics(Theory,Methods and Applications)》更多>>
相关基金：国家自然科学基金更多>>
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THE ULTRACONVERGENCE OF EIGENVALUES FOR BI-QUADRATIC FINITE ELEMENTS被引量：2
《Journal of Computational Mathematics》2012年第5期555-564,共10页Lingxiong Meng Zhimin Zhang 
The classical eigenvalue problem of the second-order elliptic operator is approxlmateo with hi-quadratic finite element in this paper. We construct a new superconvergent function recovery operator, from which the O（...
关键词：Finite element method Eigenvalue recovery ULTRACONVERGENCE 
Ultraconvergence for averaging discontinuous finite elements and its applications in Hamiltonian system
《Applied Mathematics and Mechanics(English Edition)》2011年第7期943-956,共14页李灿华 陈传森 
Project supported by the National Natural Science Foundation of China (No. 10771063)
This paper discusses the k-degree averaging discontinuous finite element solution for the initial value problem of ordinary differential equations. When k is even, the averaging numerical flux （the average of left an...
关键词：averaging discontinuous finite element ULTRACONVERGENCE Hamiltoniansystem momentum conservation 
Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements被引量：1
《Science China Mathematics》2009年第8期1671-1684,共14页WEI JiDong ZHU QiDing 
For rectangular finite element, we give a superconvergence method by SPR technique based on the generalization of a new ultraconvergence record and the sharp Green function estimates, by which we prove that the deriva...
关键词：finite element ultra-convergence locally symmetric meshes SPR operator 65N30 
NEW ERROR EXPANSION FOR ONE-DIMENSIONAL FINITE ELEMENTS AND ULTRACONVERGENCE
《Numerical Mathematics A Journal of Chinese Universities(English Series)》2005年第4期296-304,共9页陈传淼 谢资清 刘经洪 
This work was supported by The Special Funds for State Major Basic Research Projects(No. G1999032804)The National Natural Science Foundation of China(Grant No.10471038)
Based on an improved orthogonal expansion in an element, a new error expression of n-degree finite element approximation uh to two-point boundary value problem is derived, and then superconvergence of two order for bo...
关键词：有限元分析 误差扩展 正交扩展 边值问题 超收敛性 
THE DERIVATIVE ULTRACONVERGENCE FOR QUADRATIC TRIANGULAR FINITE ELEMENTS被引量：4
《Journal of Computational Mathematics》2004年第6期857-864,共8页Qi-dingZhu Ling-xiongMeng 
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 d...
New construction and ultraconvergence of derivative recovery operator for odd-degree rectangular elements被引量：3
《Science China Mathematics》2004年第6期940-949,共10页ZHU Qiding MENG Lingxiong 
In this paper the ultra convergence of the derivative for odd-degree rectangular elements is addressed. A new, discrete least-squares patch recovery technique is proposed to postprocess the solution derivatives. Such ...
关键词：SPR derivative recovery operator projection type interpolation ULTRACONVERGENCE 
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