The method of the Riemann-Hilbert problem in the theory of diffraction by shells of arbitrary cross section (Q1571215)
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scientific article; zbMATH DE number 1472952
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of the Riemann-Hilbert problem in the theory of diffraction by shells of arbitrary cross section |
scientific article; zbMATH DE number 1472952 |
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The method of the Riemann-Hilbert problem in the theory of diffraction by shells of arbitrary cross section (English)
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28 November 2001
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The authors have constructed integral equations of the first kind for an unclosed countour, and have performed the closure of this countour. This allows one to parameterize the closed countour, analyze the singular structure of the kernels of integral operators, and reduce the integral equations to dual summation equations with a matrix perturbation by the Fourier transform. The regularization of these dual summation equations by the method of the Riemann-Hilbert problem results in an infinite set of linear algebraic equations of the second kind.
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boundary value problem
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wave diffraction
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integral equation of the first kind
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singular kernel
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regularization
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