期刊
MATHEMATICS AND COMPUTERS IN SIMULATION
卷 82, 期 8, 页码 1445-1458出版社
ELSEVIER
DOI: 10.1016/j.matcom.2012.02.002
关键词
Modified Helmholtz's equation; Inverse problem; Method of fundamental solutions; Regularisation
类别
资金
- King Saud University
In this paper, an inverse geometric problem for the modified Helmholtz equation arising in heat conduction in a fin, which consists of determining an unknown inner boundary (rigid inclusion or cavity) of an annular domain from a single pair of boundary Cauchy data is solved numerically using the method of fundamental solutions (MFS). A nonlinear minimisation of the objective function is regularised when noise is added into the input boundary data. The stability of numerical results is investigated for several test examples. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.
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