A simple a-posteriori error estimation for adaptive BEM in elasticity
文献类型：期刊论文
| 作者 | Chen, HB; Yu, DH; Schnack, E |
| 刊名 | COMPUTATIONAL MECHANICS
 |
| 出版日期 | 2003-04-01 |
| 卷号 | 30期号:5-6页码:343-354 |
| 关键词 | a-posteriori error estimation adaptive boundary element method hyper-singular boundary integral equation adaptive mesh refinement |
| ISSN号 | 0178-7675 |
| DOI | 10.1007/s00466-003-0409-4 |
| 英文摘要 | In this paper, the properties of various boundary integral operators are investigated for error estimation in adaptive BEM. It is found that the residual of the hyper-singular boundary integral equation (BIE) can be used for a-posteriori error estimation for different kinds of problems. Based on this result, a new a-posteriori error indicator is proposed which is a measure of the difference of two solutions for boundary stresses in elastic BEM. The first solution is obtained by the conventional boundary stress calculation method, and the second one by use of the regularized hyper-singular BIE for displacement derivative. The latter solution has recently been found to be of high accuracy and can be easily obtained under the most commonly used C-0 continuous elements. This new error indicator is defined by a L-1 norm of the difference between the two solutions under Mises stress sense. Two typical numerical examples have been performed for two-dimensional (2D) elasticity problems and the results show that the proposed error indicator successfully tracks the real numerical errors and effectively leads a h-type mesh refinement procedure. |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182789200001 |
| 出版者 | SPRINGER-VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18157]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Schnack, E |
| 作者单位 | 1.Univ Karlsruhe, Inst Solid Mech, D-76128 Karlsruhe, Germany 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab MBDM, Hefei 230026, Anhui, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, HB,Yu, DH,Schnack, E. A simple a-posteriori error estimation for adaptive BEM in elasticity[J]. COMPUTATIONAL MECHANICS,2003,30(5-6):343-354. |
| APA | Chen, HB,Yu, DH,&Schnack, E.(2003).A simple a-posteriori error estimation for adaptive BEM in elasticity.COMPUTATIONAL MECHANICS,30(5-6),343-354. |
| MLA | Chen, HB,et al."A simple a-posteriori error estimation for adaptive BEM in elasticity".COMPUTATIONAL MECHANICS 30.5-6(2003):343-354. |
入库方式： OAI收割
来源：数学与系统科学研究院
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