A novel numerical method for infinite domain potential problems

被引：29
作者：
Chen Wen [1 ]
Fu ZhuoJia [1 ]
机构：
[1] Hohai Univ, Coll Civil Engn, Dept Engn Mech, Ctr Numer Simulat Software Engn & Sci, Nanjing 210098, Peoples R China
来源：
CHINESE SCIENCE BULLETIN | 2010年 / 55卷 / 16期
基金：
中国国家自然科学基金;
关键词：
infinite domain; potential problem; singularity; fundamental solution; singular boundary method; meshless; BOUNDARY-VALUE-PROBLEMS; FUNDAMENTAL-SOLUTIONS; MESHLESS METHOD; EQUATIONS;
D O I：
10.1007/s11434-010-3177-5
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The infinite domain potential problems arise in many branches of scientific and engineering fields, which by now still pose a great challenge to scientific computing community. This study proposes a novel meshless singular boundary method (SBM) to solve infinite domain potential problems. The SBM is mathematically simple, easy-to-program, meshless and integration-free. To guarantee the uniqueness of numerical solutions, this article adds a constant term into the SBM approximate representation. The efficiency and accuracy of the proposed technique are tested to the three infinite domain potential problems.
引用
收藏
页码：1598 / 1603
页数：6
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