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Investigation of stability of the method of auxiliary sources in practice - MaRDI portal

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Investigation of stability of the method of auxiliary sources in practice (Q1309066)

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scientific article; zbMATH DE number 468700
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English
Investigation of stability of the method of auxiliary sources in practice
scientific article; zbMATH DE number 468700

    Statements

    Investigation of stability of the method of auxiliary sources in practice (English)
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    3 February 1994
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    The authors provide some numerical experiments concerning the solution of two-dimensional diffraction problems by an integral equation method, where the unknown density is distributed on an auxiliary contour. Since the corresponding integrals are smoothing operators the problems are ill- posed. It is stated that for small numbers of unknowns and using some regularization methods the results for the direct and inverse problem are comparable to the boundary element approach.
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    ill-posed problems
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    stability
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    numerical experiments
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    diffraction
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    integral equation method
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    regularization methods
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    inverse problem
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    boundary element
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