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A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation - MaRDI portal

A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation (Q455846)

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scientific article; zbMATH DE number 6097299
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A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation
scientific article; zbMATH DE number 6097299

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    A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation (English)
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    22 October 2012
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    The paper considers the Cauchy problem of the Helmholtz equation on a bounded domain. The problem is solved by an integral equation discretized using Herglotz wave functions. A regularization method for solving the integral equation is considered. Numerical results are reported.
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    Herglotz wavefunctions
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    Cauchy problem
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    Helmholtz equation
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    inverse problem
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    integral equation
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    regularization method
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    numerical results
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