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

Fuzhang Wang ,  and Zhaoxing Ma

10.4208/aamm.2014.m611

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

Preview Full PDF BiBTex 0 269
  • 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.

  • History

Published online: 2018-05

  • Keywords

  • AMS Subject Headings

  • Cited by