Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions

被引：88

作者：

Lin, Ji ^{[1
]}

Chen, C. S. ^{[2
]}

Liu, Chein-Shan ^{[1
]}

Lu, Jun ^{[3
]}

机构：

[1] Hohai Univ, Coll Mech & Mat, Int Ctr Simulat Software Engn & Sci, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 211100, Jiangsu, Peoples R China

[2] Univ Southern Mississippi, Dept Math, Hattiesburg, MS 39406 USA

[3] Nanjing Hydraul Res Inst, Mat & Struct Engn Dept, Hujuguan 34 Rd, Nanjing 210024, Jiangsu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 72卷 / 03期

关键词：

Method of fundamental solutions; East simulation; Wave propagation; Sparse scheme; Localized method of approximate particular solutions; Modified Helmholtz equation; APPROXIMATE PARTICULAR SOLUTIONS; BURGERS EQUATIONS; RBF APPROXIMATION; LOCALIZED METHOD; OPERATORS; PARAMETER;

D O I：

10.1016/j.camwa.2016.05.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a meshless scheme is presented for the fast simulation of multi-dimensional wave problems. The present method is rather simple and straightforward. The Houbolt method is used to eliminate the time dependence of spatial variables. Then the original wave problem is converted into equivalent systems of modified Helmholtz equations. The sparse scheme of the method of fundamental solutions in combination with the localized method of approximate particular solutions is employed for efficient implementation of spatial variables. To demonstrate the effectiveness and simplicity of this new approach, three numerical examples have been assessed with excellent performance. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：555 / 567

页数：13

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