A boundary knot method for 3D time harmonic elastic wave problems

被引：23
|
作者：
Sun, Linlin [1 ]
Zhang, Cong [1 ]
Yu, Yue [1 ]
机构：
[1] Nantong Univ, Sch Sci, Nantong 226019, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 104卷
基金：
中国国家自然科学基金;
关键词：
Boundary knot method; Meshless; Elastic wave; Time harmonic; FUNDAMENTAL-SOLUTIONS; HELMHOLTZ; EQUATION; SINGLE;
D O I：
10.1016/j.aml.2020.106210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper makes the first attempt to apply the boundary knot method (BKM) to 3D time harmonic elastic wave problems. Unlike the famous method of fundamental solutions (MFS), the BKM employs non-singular general solutions as the basis functions to approximate the solutions. Therefore, the BKM overcomes the auxiliary boundary issue of the MFS, and inherits the advantages of the MFS, i.e., mathematically simple, easy-to-program, meshless, integration-free and accurate. Particularly, the non-singular general solutions of 3D time harmonic elastic wave problems for the BKM are firstly derived in this study. Two examples are carried out to verify the accuracy and convergence of the BKM. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：6
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