A regularization method for a Cauchy problem of the Helmholtz equation |
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| Authors: | Xiang-Tuan Xiong |
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| Affiliation: | Department of Mathematics, Northwest Normal University, Lanzhou, Gansu,730070, People’s Republic of China |
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| Abstract: | ![]()
We investigate a Cauchy problem for the Helmholtz equation. A modified boundary method is used for solving this ill-posed problem. Some Hölder-type error estimates are obtained. The numerical experiment shows that the modified boundary method works well. |
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| Keywords: | Ill-posed Cauchy problem of the Helmholtz equation Modified boundary condition Regularization |
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