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An Iterative Regularization Method to Solve the Cauchy Problem for the Helmholtz Equation

Hao Cheng, Ping Zhu, Jie Gao

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Source: Crossref

Published: Jan 1, 2014

DOI: 10.1155/2014/917972

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Source abstract

A regularization method for solving the Cauchy problem of the Helmholtz equation is proposed. The a priori and a posteriori rules for choosing regularization parameters with corresponding error estimates between the exact solution and its approximation are also given. The numerical example shows the effectiveness of this method.

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An Iterative Regularization Method to Solve the Cauchy Problem for the Helmholtz Equation — Mathematical Frontier Network