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A homotopy strategy for the parameter identification problems of partial differential equations

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2 Author(s)
Hongsun Fu ; Dept. of Math., Dalian Maritime Univ., Dalian, China ; Bo Han

The aim of this paper is to propose a general homotopy inversion strategy for solving the inverse problems of partial differential equations, which reduces solving the inverse problems to a task of tracing a class of inverse problems continuously, and then solving the corresponding class of operator equations. On the basic of this strategy, a differentiation regularization method and a homotopy regularization method are constructed. Some theoretical results are given. As a practical application, the inverse problem of a two-dimensional wave equation is solved. Numerical results show the method's effectiveness.

Published in:

Soft Computing and Pattern Recognition (SoCPaR), 2011 International Conference of

Date of Conference:

14-16 Oct. 2011