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A homotopy method for the inversion of a two-dimensional acoustic wave equation

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This article considers the problem of estimating the velocity in a two-dimensional acoustic wave equation. In order to overcome the defects of local convergence of conventional methods, a general homotopy inversion strategy is proposed for the continuous inverse model. On the basis of this strategy, a practical algorithm is constructed by introducing Tikhonov regularization method for the nonlinear operator equation which is obtained from the discretization of the continuous inverse model. Numerical simulations show that the algorithm is a fast and widely convergent inversion method.
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Keywords: 35R30, 65; AMS 1991 Subject Classifications:; Homotopy method; Inverse problems of acoustic wave equations; Tikhonov regularization

Document Type: Research Article

Affiliations: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Publication date: 01 August 2005

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