A combined conformal and sinh-sigmoidal transformations method for nearly singular boundary element integrals

doi:10.1016/j.enganabound.2015.04.013

CORC > 武汉岩土力学研究所 > 中科院武汉岩土力学所 > 岩土力学所知识全产出 > 期刊论文

	A combined conformal and sinh-sigmoidal transformations method for nearly singular boundary element integrals
	Pan, Peng-Zhi 2; Lv, Jia-He 2; Feng, Xia-Ting2 ; Yan, Fei 2; Xie, Gui-Zhong 1
刊名	ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
	2015
卷号	58 页码:166-175
关键词	Boundary element method Nearly singular integrals Numerical quadrature
ISSN号	0955-7997
DOI	10.1016/j.enganabound.2015.04.013
英文摘要	Accurate and efficient evaluation of nearly singular integrals is a major concern in 3D BEM. Most existing widely-used non-linear transformations are only performed in radial direction. Actually, the near singularity may derive from three aspects: element shape, radial direction and angular direction. In this paper, a combined conformal and sinh-sigmoidal transformations method is proposed to evaluate nearly singular integrals arising in 3D BEM. The method can be decomposed into three steps: firstly, a conformal transformation is introduced to eliminate the shape effect caused by large aspect ratios and peak/big obtuse angles; secondly, the classical sinh transformation is applied in radial direction to cluster more Gaussian points towards the nearly singular point; finally, an improved sigmoidal transformation is utilized to rearrange Gaussian points in angular direction more reasonably. Extensive numerical examples including unit triangular element, elements with different aspect ratios, elements with different angles and curved triangular element are given to verify the robustness and competitiveness of presented method. (C) 2015 Elsevier Ltd. All rights reserved.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000357752300016
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3749]
专题	岩土力学所知识全产出_期刊论文岩土力学所知识全产出国家重点实验室知识产出_期刊论文
作者单位	1.Zhengzhou Univ Light Ind, Mech & Elect Engn Inst 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ;
推荐引用方式 GB/T 7714	Pan, Peng-Zhi,Lv, Jia-He,Feng, Xia-Ting,et al. A combined conformal and sinh-sigmoidal transformations method for nearly singular boundary element integrals[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2015,58:166-175.
APA	Pan, Peng-Zhi,Lv, Jia-He,Feng, Xia-Ting,Yan, Fei,&Xie, Gui-Zhong.(2015).A combined conformal and sinh-sigmoidal transformations method for nearly singular boundary element integrals.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,58,166-175.
MLA	Pan, Peng-Zhi,et al."A combined conformal and sinh-sigmoidal transformations method for nearly singular boundary element integrals".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 58(2015):166-175.