论文信息 - Approximate solution of a Cauchy problem for the Helmholtz equation

Approximate solution of a Cauchy problem for the Helmholtz equation

A problem of reconstruction of the radiation field in a domain from experimental data given on a part of boundary is considered. For the model problem described by a Cauchy problem for the Helmholtz equation, an approximate method based on regularization in the frequency space is analysed. Convergence and stability are proved under a suitable choice of regularization parameter. Numerical implementation of the method is discussed.

Teresa Regińska | Kazimierz Regiński | T. Reginska | K. Reginski

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