A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:237

Article

Zhang, Deyue¹  Ma, Fuming¹  Zheng, Enxi¹ 

[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

关键词: Herglotz wavefunctions;    Cauchy problem;    Helmholtz equation;   

DOI  :  10.1016/j.cam.2012.07.026

来源: Elsevier

【 摘 要 】

This paper is concerned with the Cauchy problem connected with the Helmholtz equation. On the basis of the denseness of Herglotz wavefunctions, we propose a numerical method for obtaining an approximate solution to the problem. We analyze the convergence and stability with a suitable choice of regularization method. Numerical experiments are also presented to show the effectiveness of our method. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free