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 guar-antee the uniqueness of numerical solutions, this article adds a constant term into the SBM approximate representation.The effi-ciency and accuracy of the proposed technique are tested to the three infinite domain potential problems.
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.
基金
supported by the National Natural Science Foundation of China (10672051)
Natural Science Foundation of Hohai University (409251)
关键词
数值方法
无限域
边界无单元法
管理
无界域
一体化
无网格
数值解
infinite domain, potential problem, singularity, fundamental solution, singular boundary method, meshless
