Volume 7, Issue 4
Meshless Collocation Method for Inverse Source Identification Problems

Fuzhang Wang, & Zhaoxing Ma

Adv. Appl. Math. Mech., 7 (2015), pp. 496-509.

Published online: 2018-05

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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.

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@Article{AAMM-7-496, author = {Fuzhang Wang, and Zhaoxing Ma}, title = {Meshless Collocation Method for Inverse Source Identification Problems}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {7}, number = {4}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m611}, url = {http://global-sci.org/intro/article_detail/aamm/12060.html} }
TY - JOUR T1 - Meshless Collocation Method for Inverse Source Identification Problems AU - Fuzhang Wang, & Zhaoxing Ma JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 496 EP - 509 PY - 2018 DA - 2018/05 SN - 7 DO - http://dor.org/10.4208/aamm.2014.m611 UR - https://global-sci.org/intro/aamm/12060.html KW - AB -

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.

Fuzhang Wang, & Zhaoxing Ma. (1970). Meshless Collocation Method for Inverse Source Identification Problems. Advances in Applied Mathematics and Mechanics. 7 (4). 496-509. doi:10.4208/aamm.2014.m611
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