| 局部边界积分方程方法的一种后验误差估计分析 |
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| 引用本文： | 陈海波,付东杰,张培强.局部边界积分方程方法的一种后验误差估计分析[J].中国科学技术大学学报,2007,37(9):1141-1150. |
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| 作者姓名： | 陈海波 付东杰 张培强 |
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| 作者单位： | 中国科学院材料力学行为和设计重点实验室,中国科学技术大学近代力学系,安徽合肥,230026 |
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| 摘 要： | 误差估计以及自适应分析涉及算法的可靠性以及计算效率的改善.通过对无网格算法在误差估计方面的工作分析,根据原始解和后处理解的不同,将一种误差估计的方案引入到局部边界积分方程方法中,其中后处理解采用泰勒展开和移动最小二乘近似得到.数值算例显示,提出的误差估计方案能够有效地指示出真实的数值误差.
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| 关 键 词： | 误差估计 无网格方法 局部边界积分方程方法 |
| 文章编号： | 0253-2778（2007）09-1141-10 |
| 修稿时间： | 2006-12-15 |
An a-posteriori error estimation in LBIEM |
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| CHEN Hai-bo,FU Dong-jie,ZHANG Pei-qiang.An a-posteriori error estimation in LBIEM[J].Journal of University of Science and Technology of China,2007,37(9):1141-1150. |
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| Authors: | CHEN Hai-bo FU Dong-jie ZHANG Pei-qiang |
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| Institution: | CAS Key Laboratory Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | Error esti mation as well as the subsequent adaptivity analysis are concerned with the reliability of numerical algorithms and i mprovement of computational efficiency.Based on the analysis of previous workin detail,a scheme of a-posteriori error estimation is introduced into the local boundary integral equation method(LBIEM),which is constructed with the difference betweenthe rawsolutions of LBIEMandthe post-processing solutions with Taylor expansion and moving least square approxi mation(MLSA).Numerical tests show that the proposed error esti mation scheme canindicate the numerical errors of LBIEMsolution efficiently. |
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| Keywords: | error estimation meshless method local boundary integral equation method |
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