A combined conformal and sinh-sigmoidal transformations method for nearly singular boundary element integrals
文献类型：期刊论文
| 作者 | Pan, Peng-Zhi2; Lv, Jia-He2; Feng, Xia-Ting2 ; Yan, Fei2; Xie, Gui-Zhong1
|
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000357752300016 |
| 出版者 | ELSEVIER SCI LTD |
| 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. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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