Conformal distance-sigmoidal transformation for evaluating 3D nearly singular integrals over triangular elements
文献类型：期刊论文
| 作者 | Tan, Fei2; Jiao, Yu-Yong2; Lv, Jia-He1 |
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 2018 |
| 卷号 | 89页码:1-9 |
| 关键词 | Boundary element method Nearly singular integrals Distance transformation Numerical quadrature |
| ISSN号 | 0955-7997 |
| DOI | 10.1016/j.enganabound.2018.01.008 |
| 英文摘要 | Nearly singular boundary integrals are involved in many applications of BEM, such as thin structures and contact problems. Therefore, the accurate evaluation of such integrals is an important aspect during the successful implementation of BEM. Recently, a conformal mapping for triangular elements has been constructed to eliminate the distorted shape influence and applied to deal with singular integrals. In this paper, the conformal mapping is extended to deal with the nearly singular integrals over triangular elements by combination of the distance transformation proposed by Ma and Kamiya. An improved sigmoidal transformation is employed to rearrange Gaussian points in angular direction more judiciously, and the conformal mapping is introduced to eliminate the distorted shape influence for elements with large aspect ratio or peak/obtuse angles. Extensive numerical tests and comparisons for both planar and curved triangular elements are given to demonstrate the high efficiency and competitiveness of the method presented in this paper. (C) 2018 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000430735100001 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/4259]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | 1.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn 2.China Univ Geosci, Fac Engn ; |
| 推荐引用方式 GB/T 7714 | Tan, Fei,Jiao, Yu-Yong,Lv, Jia-He. Conformal distance-sigmoidal transformation for evaluating 3D nearly singular integrals over triangular elements[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2018,89:1-9. |
| APA | Tan, Fei,Jiao, Yu-Yong,&Lv, Jia-He.(2018).Conformal distance-sigmoidal transformation for evaluating 3D nearly singular integrals over triangular elements.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,89,1-9. |
| MLA | Tan, Fei,et al."Conformal distance-sigmoidal transformation for evaluating 3D nearly singular integrals over triangular elements".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 89(2018):1-9. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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