Year: 2015
Author: Fuzhang Wang, Zhaoxing Ma
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 4 : pp. 496–509
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m611
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 4 : pp. 496–509
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14