A simple a-posteriori error estimation for adaptive BEM in elasticity

doi:10.1007/s00466-003-0409-4

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	A simple a-posteriori error estimation for adaptive BEM in elasticity
	Chen, HB ; Yu, DH ; Schnack, E
	2003-04-01
发表期刊	COMPUTATIONAL MECHANICS
ISSN	0178-7675
卷号	30 期号:5-6 页码:343-354
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.
关键词	a-posteriori error estimation adaptive boundary element method hyper-singular boundary integral equation adaptive mesh refinement
DOI	10.1007/s00466-003-0409-4
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000182789200001
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18158
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.