An optimal filtering method for the Cauchy problem of the Helmholtz equation

作者：Cheng, Hao; Fu, Chu-Li^*; Feng, Xiao-Li

来源：Applied Mathematics Letters, 2011, 24(6): 958-964.

DOI：10.1016/j.aml.2011.01.005

• Cauchy problem for the Helmholtz equation
• Filtering regularization
• Error estimate
• III-posed problem

In this paper, we consider a Cauchy problem for the Helmholtz equation in a rectangle. An optimal filtering method is presented for approximating the solution of this problem, and the Holder type error estimate is obtained. Numerical illustration shows that the method works effectively.

• 出版日期2011-6
• 单位兰州大学