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

Abstract

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. © 2005 Taylor & Francis Group Ltd.