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Preprints of the Keldysh Institute of Applied Mathematics, 2004, 053, 19 pp. (Mi ipmp836)  
Spectral nonlocal boundary conditions for the wave equation in moving media

O. V. Podgornova, I. L. Sofronov
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Abstract: A spectral approach of generating low-reflecting boundary conditions for the wave equation in the moving media is proposed. Operator of boundary conditions is firstly derived in exact form for discrete equations, and then necessary approximation modifications are developed to obtain reasonable computational costs. The sum-of-exponentials representation of occurring temporal kernels is used as a key approach for such modifications.
Document Type: Preprint
Language: English
Citation: O. V. Podgornova, I. L. Sofronov, “Spectral nonlocal boundary conditions for the wave equation in moving media”, Keldysh Institute preprints, 2004, 053, 19 pp.
Citation in format AMSBIB
\Bibitem{PodSof04}
\by O.~V.~Podgornova, I.~L.~Sofronov
\paper Spectral nonlocal boundary conditions for the wave equation in moving media
\jour Keldysh Institute preprints
\yr 2004
\papernumber 053
\totalpages 19
\mathnet{http://mi.mathnet.ru/ipmp836}
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  • https://www.mathnet.ru/eng/ipmp/y2004/p53
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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