REGULARIZED MULTIQUADRIC METHOD FOR SOLVING INVERSE BOUNDARY VALUE PROBLEMS
In this paper, we develop a regularized multiquadric method, which is also a non-iterative numerical method, for solving inverse boundary value problems governed by Laplace equation. The well-known ill-posed Cauchy problem is considered, we assume that the boundary conditions are given only on part of the physical boundary of the solution domain, we have to reconstruct the solution and its normal derivative on the rest un-accessible part of the physical boundary. During the whole solution process, we use the multiquadric and the regularization method to construct a regularized multiquadric method. Numerical experiments are given to demonstrate the effectiveness and efficiency of the proposed method.
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