Meshless Collocation Method for Inverse Source Identification Problems

Meshless Collocation Method for Inverse Source Identification Problems

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

Keywords:   

Author Details

Fuzhang Wang

Zhaoxing Ma