Particular solutions of Helmholtz-type operators using higher order polyharmonic splines

被引：96

作者：

Muleshkov, AS ^{[1
]}

Golberg, MA ^{[1
]}

Chen, CS ^{[1
]}

机构：

[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

来源：

COMPUTATIONAL MECHANICS | 1999年 / 23卷 / 5-6期

关键词：

D O I：

10.1007/s004660050420

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain explicit analytical particular solutions for Helmholtz-type operators, using higher order splines. These results generalize those in Golberg, Chen and Rashed (1998) and Chen and Rashed (1998) for thin plate splines. This enables one to substantially improve the accuracy of algorithms for solving boundary value problems for Helmholtz-type equations.

引用

页码：411 / 419

页数：9

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