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Numerical Solutions for Inverse Problems under Doubly Connected Domains

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In this paper,the boundary knot method is applied to simulate inverse problems of determining physical boundary occurring in an inaccessible interior part.This is fulfilled from measurements of the partially accessible outer boundary.The truncated singular value decomposition under parameter choice of the cross validation method is employed for noisy boundary data cases.Numerical results for two benchmark problems show that the boundary knot method is simple,accurate,stable and computationally efficient for inverse problems under domains with doubly connected domains.

radial basis functionsboundary knot methodHelmholtz problem

GUO Xuanxuan、WANG Fuzhang、ZHANG Juan

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School of Mathematical Sciences, Huaibei Normal University,Huaibei 235000, Anhui, China

School of Mathematical and Statistics, Xuzhou University of Technology, Xuzhou 2221018, Jiangsu, China

Supported by the Natural Science Foundation of Anhui ProvinceNatural Science Research Project of Anhui ProvinceHigher Education Department of the Ministry of Education

1908085QA09KJ2019A0591 & KJ2017B015201802358008

2020

10.19823/j.cnki.1007-1202.2020.0041

武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

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影响因子：0.066
ISSN：1007-1202
年,卷(期)：2020.25(4)
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