Iterative algorithm for solving the inverse heat conduction problems with the unknown source function

被引：18
作者：
Frackowiak, Andrzej [1 ]
Botkin, Nikolai D. [2 ]
Cialkowski, Michal [1 ]
Hoffmann, Karl-Heinz [2 ]
机构：
[1] Poznan Univ Tech, Thermal Engn, Poznan, Poland
[2] Tech Univ Munich, Zentrum Math, Garching, Germany
来源：
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2015年 / 23卷 / 06期
关键词：
fictitious source; inverse problems; Poisson equation; FUNDAMENTAL-SOLUTIONS; CAUCHY-PROBLEM; NUMERICAL-SOLUTION;
D O I：
10.1080/17415977.2014.986723
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this study, the Cauchy problem for the Laplace equation in a multiply connected region was solved. Solving this problem was replaced by solving the Poisson equation in a simply connected region with an unknown source function different from zero in the adjoined region. To determine the power of the sources, a convergent iterative process has been developed based on polyharmonic functions, including the tests on the effect of the polyharmonic function order on the solution accuracy.
引用
收藏
页码：1056 / 1071
页数：16
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