Email this article Quadrature Formula for the Simple Layer Potential
- Authors: Krutitskii P.A.1, Fedotova A.D.2, Kolybasova V.V.2
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Affiliations:
- Keldysh Institute of Applied Mathematics
- Lomonosov Moscow State University
- Issue: Vol 55, No 9 (2019)
- Pages: 1226-1241
- Section: Numerical Methods
- URL: https://journal-vniispk.ru/0012-2661/article/view/155224
- DOI: https://doi.org/10.1134/S0012266119090106
- ID: 155224
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Abstract
A quadrature formula for the simple layer potential with smooth density specified on a closed or open surface is derived. The formula uniformly approximates the potential near the surface and inherits its continuity as the observation point tends to the surface from the interior of the domain; this has been confirmed by numerical tests. The proposed quadrature formula is much more accurate in calculating the potential near the surface than the standard quadrature formulas, a fact that has also been confirmed by numerical tests.
About the authors
P. A. Krutitskii
Keldysh Institute of Applied Mathematics
Author for correspondence.
Email: krutitsk@mail.ru
Russian Federation, Moscow, 125047
A. D. Fedotova
Lomonosov Moscow State University
Author for correspondence.
Email: nyonk@mail.ru
Russian Federation, Moscow, 119991
V. V. Kolybasova
Lomonosov Moscow State University
Author for correspondence.
Email: kolybasova@physics.msu.ru
Russian Federation, Moscow, 119991
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