Stability analysis of the Fourier–Bessel method for the Cauchy problem of the Helmholtz equation

Deyue Zhang, Wei Sun

Type: Article

Publication Date: 2015-06-12

Citations: 8

DOI: https://doi.org/10.1080/17415977.2015.1051531

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Abstract

This paper is concerned with the Cauchy problem connected with the Helmholtz equation in a smooth-bounded domain. The Fourier–Bessel method with Tikhonov regularization is applied to achieve a regularized solution to the problem with noisy data. The convergence and stability are obtained with a suitable choice of the regularization parameter. Numerical experiments are also presented to show the effectiveness of the proposed method.

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Inverse Problems in Science and Engineering - View - PDF

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