A regularization method for a Cauchy problem of the Helmholtz equation

作者：Xiong Xiang Tuan^*

来源：Journal of Computational and Applied Mathematics, 2010, 233(8): 1723-1732.

DOI：10.1016/j.cam.2009.09.001

• Ill-posed
• Cauchy problem of the Helmholtz equation
• Modified boundary condition
• Regularization

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

• 出版日期2010-2-15
• 单位西北师范大学