修正的Helmholtz方程未知源识别反问题

Abstract

Abstract:

This paper discusses the inverse problem of determining a spacewise unknonwn source for the two dimensional modified Helmholtz equation in a half strip domain. This problem is ill-posed, i.e., the solution does not depend continuously on the data. A regularization solution of the inverse problem is obtained by the quasi-reversibility regularization method. For the regularization solution, convergence
estimate is obtained between the regularization solution and the exact solution. The numerical example shows that the quasi-reversibility regularization method works effectively for identification of the unknown source.

Key words: Modified Helmholtz equation, Unknown source, Regularization, Quasi-reversibility

CLC Number:

35J05

YANG Fan, FU Chu-Li, LI Xiao-Xiao. The Inverse Problem of Identifying the Unknown Source for the Modified Helmholtz Equation[J].Acta mathematica scientia,Series A, 2012, 32(3): 557-565.

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The Inverse Problem of Identifying the Unknown Source for the Modified Helmholtz Equation

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