Modified regularization method for the Cauchy problem of the Helmholtz equation
نویسندگان
چکیده
منابع مشابه
Modified Tikhonov regularization method for the Cauchy problem of the Helmholtz equation
In this paper, the Cauchy problem for the Helmholtz equation is investigated. By Green's formulation, the problem can be transformed into a moment problem. Then we propose a modified Tikhonov regularization algorithm for obtaining an approximate solution to the Neumann data on the unspecified boundary. Error estimation and convergence analysis have been given. Finally, we present numerical resu...
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The Cauchy problem for Helmholtz equation arises from inverse scattering problems. Specific backgrounds can be seen in the existing literature; we can refer to 1–6 and so forth. A number of numerical methods for stabilizing this problem are developed. Several boundary element methods combined with iterative, conjugate gradient, Tikhonov regularization, and singular value decomposition methods a...
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Article history: Received 18 February 2010 Received in revised form 31 December 2010 Accepted 11 January 2011 Available online 19 January 2011
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2009
ISSN: 0307-904X
DOI: 10.1016/j.apm.2008.07.005