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A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation - MaRDI portal

A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation (Q1955315)

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scientific article; zbMATH DE number 6173666
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A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation
scientific article; zbMATH DE number 6173666

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    A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation (English)
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    11 June 2013
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    Summary: An inverse source problem in the modified Helmholtz equation is considered. We give a Tikhonov-type regularization method and set up a theoretical frame to analyze the convergence of such method. A priori and a posteriori choice rules to find the regularization parameter are given. Numerical tests are presented to illustrate the effectiveness and stability of our proposed method.
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