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Meshless Collocation Method for Inverse Source Identification Problems

Published online by Cambridge University Press:  29 May 2015

Fuzhang Wang  and
Zhaoxing Ma
Fuzhang Wang*
Affiliation:
College of Mathematics, Huaibei Normal University, Huaibei 235000, China
Zhaoxing Ma
Affiliation:
School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou 221116, China
*
*Corresponding author. Email: wangfuzhang1984@163.com (F. Z. Wang), 82563433@qq.com (Z. X. Ma)
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Abstract

A novel meshless scheme is proposed for inverse source identification problems of Helmholtz-type equations. It is formulated by the non-singular general solutions of the Helmholtz-type equations augmented with radial basis functions. Under this meshless scheme, we can determine smooth source terms from partially accessible boundary measurements with accurate results. Numerical examples are presented to verify validity and accuracy of the present scheme. It is demonstrated that the present scheme is simple, accurate, stable and computationally efficient for inverse smooth source identification problems.

Keywords

65M1078A48Meshless methodHelmholtz equationsource function

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Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 4 , August 2015 , pp. 496 - 509
Copyright
Copyright © Global-Science Press 2015 

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