A Newton Type Iterative Method for Heat-Conduction Inverse Problems

HE Guo-qiang; MENG Ze-hong

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HE Guo-qiang, MENG Ze-hong. A Newton Type Iterative Method for Heat-Conduction Inverse Problems[J]. Applied Mathematics and Mechanics, 2007, 28(4): 479-486.

Citation:

HE Guo-qiang, MENG Ze-hong. A Newton Type Iterative Method for Heat-Conduction Inverse Problems[J]. Applied Mathematics and Mechanics, 2007, 28(4): 479-486.

Citation:

HE Guo-qiang, MENG Ze-hong. A Newton Type Iterative Method for Heat-Conduction Inverse Problems[J]. Applied Mathematics and Mechanics, 2007, 28(4): 479-486.

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A Newton Type Iterative Method for Heat-Conduction Inverse Problems

Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

Received Date: 2006-08-28
Rev Recd Date: 2007-01-12
Publish Date: 2007-04-15

Abstract

Abstract

An inverse problem for identification of the coefficient in heat-conduction equation is considered. After reducing the problem to a nonlinear ill-posed operator equation, Newton type iterative methods were considered. The implicit iterative method was applied to the linearized Newton equation, and the key step in the process was that a new reasonable a posteriori stopping rule for the inner iteration was presented. Numerical experiments for the new method as well as for Tikhonov method and Bakushikskii method are given. And these results show the obvious advantages of the new method over the other ones.
- inverse problems,
- nonlinear ill-posed operator equations,
- Newton type method,
- implicit iterative method,
- iteration stopping rule

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References(11)

References

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