A regularization method for a Cauchy problem of the Helmholtz equation

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摘要

We investigate a Cauchy problem for the Helmholtz equation. A modified boundary method is used for solving this ill-posed problem. Some Hölder-type error estimates are obtained. The numerical experiment shows that the modified boundary method works well.

论文关键词：Ill-posed,Cauchy problem of the Helmholtz equation,Modified boundary condition,Regularization

论文评审过程：Received 13 May 2009, Revised 29 August 2009, Available online 6 September 2009.

论文官网地址：https://doi.org/10.1016/j.cam.2009.09.001