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KIAM Preprint  98, Moscow, 2020
Authors: Reznichenko I.O., Krutitskii P.A.
On a quadrature formula for the direct value of the normal derivative of a simple layer potential in a 3D case
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:
direct value of the normal derivative, simple layer potential, quadrature formula
Publication language: russian,  pages: 31
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Reznichenko Igor Olegovich,  orcid.org/0000-0002-1064-5270KIAM RAS
  • Krutitskii Pavel Alexandrovich,  KIAM RAS