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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 098, 31 pp.
DOI: https://doi.org/10.20948/prepr-2020-98 (Mi ipmp2889) 		 
On a quadrature formula for the direct value of the normal derivative of a simple layer potential in a 3D case

I. O. Reznichenko, P. A. Krutitskii
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DOI: https://doi.org/10.20948/prepr-2020-98
Abstract: The improved quadrature formula for the direct value of the normal derivative of a simple layer potential with smooth density is derived for a wide class of smooth surfaces. Novel quadrature formula provides higher accuracy of computations than usual formula. The derived quadrature formula can be used for numerical solving of boundary value problems for equations of mathematical physics by the method of boundary integral equations.
Keywords: вirect value of the normal derivative, simple layer potential, quadrature formula.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00422_а
Document Type: Preprint
UDC: 519.644.5+517.956.224
Language: Russian
Citation: I. O. Reznichenko, P. A. Krutitskii, “On a quadrature formula for the direct value of the normal derivative of a simple layer potential in a 3D case”, Keldysh Institute preprints, 2020, 098, 31 pp.
Citation in format AMSBIB
\Bibitem{RezKru20}
\by I.~O.~Reznichenko, P.~A.~Krutitskii
\paper On a quadrature formula for the direct value of the normal derivative of a simple layer potential in a 3D case
\jour Keldysh Institute preprints
\yr 2020
\papernumber 098
\totalpages 31
\mathnet{http://mi.mathnet.ru/ipmp2889}
\crossref{https://doi.org/10.20948/prepr-2020-98}
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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