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

作者：Zhang, Deyue^*; Ma, Fuming; Zheng, Enxi

来源：Journal of Computational and Applied Mathematics, 2013, 237(1): 215-222.

DOI：10.1016/j.cam.2012.07.026

• Herglotz wavefunctions
• Cauchy problem
• Helmholtz equation

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.

• 出版日期2013-1-1
• 单位吉林大学