A method of fundamental solutions for two-dimensional heat conduction

被引：32

作者：

Johansson, B. Tomas ^{[1
]}

Lesnic, Daniel ^{[2
]}

Reeve, Thomas ^{[1
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

[2] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2011年 / 88卷 / 08期

基金：

英国工程与自然科学研究理事会;

关键词：

heat conduction; method of fundamental solutions; UNIQUE CONTINUATION; MFS;

D O I：

10.1080/00207160.2010.522233

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate an application of the method of fundamental solutions (MFS) to heat conduction in two-dimensional bodies, where the thermal diffusivity is piecewise constant. We extend the MFS proposed in Johansson and Lesnic [A method of fundamental solutions for transient heat conduction, Eng. Anal. Bound. Elem. 32 (2008), pp. 697-703] for one-dimensional heat conduction with the sources placed outside the space domain of interest, to the two-dimensional setting. Theoretical properties of the method, as well as numerical investigations, are included, showing that accurate results can be obtained efficiently with small computational cost.

引用

页码：1697 / 1713

页数：17

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