Mathematical analysis of EEP method for one-dimensional finite element postprocessing

doi:10.1007/s10483-007-0403-y

Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (4): 441-445 .doi: https://doi.org/10.1007/s10483-007-0403-y

Mathematical analysis of EEP method for one-dimensional finite element postprocessing

赵庆华, 周叔子, 朱起定

收稿日期:2006-03-31 修回日期:2007-02-06 出版日期:2007-04-18 发布日期:2007-04-18
通讯作者: 赵庆华

Mathematical analysis of EEP method for one-dimensional finite element postprocessing

ZHAO Qing-hua, ZHOU Shu-zi, ZHU Qi-ding

1. College of Mathematics and Economatics, Hunan University,Changsha 410082, P. R. China;
2. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P. R. China

Received:2006-03-31 Revised:2007-02-06 Online:2007-04-18 Published:2007-04-18
Contact: ZHAO Qing-hua

摘要/Abstract

Abstract: For a class of two-point boundary value problems, by virtue of one-dimensional projection interpolation, it is proved that the nodal recovery derivative obtained by Yuan's element energy projection (EEP) method has the accuracy O(h^min{2k,k+4} ). The theoretical analysis coincides the reported numerical results.

Key words: null

中图分类号:

赵庆华;周叔子;朱起定. Mathematical analysis of EEP method for one-dimensional finite element postprocessing[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(4): 441-445 .

ZHAO Qing-hua;ZHOU Shu-zi;ZHU Qi-ding. Mathematical analysis of EEP method for one-dimensional finite element postprocessing[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(4): 441-445 .

[1]	刘洋;李宏;何斯日古楞. 对流扩散方程的混合时间间断时空有限元方法[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(12): 1579-1586 .
[2]	石东洋;王海红;郭城. Sobolev方程各向异性矩形非协调有限元分析[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(9): 1203-1214 .
[3]	袁驷;邢沁妍;王旭;叶康生. 基于最佳超收敛阶EEP法的一维有限元自适应求解[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(5): 591-602 .
[4]	王琤;黄自萍;李立康. Two-grid partition of unity method for second order elliptic problems[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(4): 527-533 .
[5]	骆艳;冯民富. Discontinuous element pressure gradient stabilizations for compressible Navier-Stokes equations based on local projections[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(2): 171-183 .
[6]	朱国庆;石东洋;陈绍春. Superconvergence analysis of lower order anisotropic finite element[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(8): 1119-1130 .
[7]	石东洋;梁慧. Superconvergence analysis of Wilson element on anisotropic meshes[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(1): 119-125 .
[8]	袁驷;和雪峰. SELF-ADAPTIVE STRATEGY FOR ONE-DIMENSIONAL FINITE ELEMENT METHOD BASED ON ELEMENT ENERGY PROJECTION METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(11): 1461-1474 .
[9]	张灿辉;黄黔;冯伟. DEFORMATION RIGIDITY OF ASSUMED STRESS MODES IN HYBRID ELEMENTS[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(7): 861-869 .
[10]	汤琼;陈传淼;刘罗华. SPACE-TIME FINITE ELEMENT METHOD FOR SCHRÖDINGER EQUATION AND ITS CONSERVATION[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(3): 335-340 .
[11]	. ADAPTIVE FINITE ELEMENT METHOD FOR ANALYSIS OF POLLUTANT DISPERSION IN SHALLOW WATER[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(12): 1574-1584 .
[12]	曾清红;卢德唐. GALERKIN MESHLESS METHODS BASED ON PARTITION OF UNITY QUADRATURE[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(7): 893-899 .
[13]	何银年. TAYLOR EXPANSION METHOD FOR NONLINEAR EVOLUTION EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(4): 522-529 .
[14]	王枚;袁驷. COMPUTATION OF SUPER-CONVERGENT NODAL STRESSES OF TIMOSHENKO BEAM ELEMENTS BY EEP METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(11): 1228-1240.
[15]	何银年;李开泰. NONLINEAR GALERKIN METHOD FOR THE EXTERIOR NONSTATIONARY NAVIER-STOKES EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(11): 1282-1291.

Mathematical analysis of EEP method for one-dimensional finite element postprocessing

Mathematical analysis of EEP method for one-dimensional finite element postprocessing

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价