Simple but efficient method for integrating 1/r singularities
文献类型：会议论文
| 作者 | Liu, Feng; Zheng, Hong; Li, Chunguang |
| 出版日期 | 2014 |
| 会议日期 | JUL 17-19, 2013 |
| 会议地点 | Kunming, PEOPLES R CHINA |
| 关键词 | Weakly singular integrand Numerical integration 1/r singularities Duffy transformation MLS-NMM |
| 卷号 | 444-445 |
| DOI | 10.4028/www.scientific.net/AMM.0.615 |
| 页码 | 615-620 |
| 英文摘要 | New integration schemes are presented for integrands with singularity of 1/r. We partition the element with a singular center into several triangles sharing the center. Then, a transformation between a standard square and each of the triangles is conducted. We prove such a transformation itself brings about the Jacobian with the factor r, leading to no need to introduce any other transformation. Both two-dimensional and three-dimensional cases are considered. Compared to the Duffy transformation, the proposed methods enjoy more excellent numerical properties. Numerical examples in elastic fracture are also presented to illustrate the performance of the new integration techniques. |
| 会议录 | ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2
 |
| 会议录出版者 | TRANS TECH PUBLICATIONS LTD |
| 会议录出版地 | STAFA-ZURICH |
| 语种 | 英语 |
| WOS研究方向 | Engineering ; Materials Science ; Mechanics |
| WOS记录号 | WOS:000338974900105 |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/4791]  |
| 专题 | 岩土力学所知识全产出_会议论文 |
| 作者单位 | Chinese Acad Sci, Inst Rock & Soil Mech |
| 推荐引用方式 GB/T 7714 | Liu, Feng,Zheng, Hong,Li, Chunguang. Simple but efficient method for integrating 1/r singularities[C]. 见:. Kunming, PEOPLES R CHINA. JUL 17-19, 2013. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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