Quadrature formula for the simple layer potential

DOI10.1134/S0012266119090106zbMath1455.65040OpenAlexW2980703854WikidataQ127018647 ScholiaQ127018647MaRDI QIDQ2280415

V. V. Kolybasova, P. A. Krutitskii, A. D. Fedotova

Publication date: 18 December 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119090106

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Related Items (9)

Quadrature formula for a double layer potential in the case of the Helmholtz equation ⋮ Quadrature formula for the direct value of the double-layer potential ⋮ On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain ⋮ Improved quadrature formula for a single-layer potential ⋮ Unnamed Item ⋮ Quadrature formula for the direct value of the normal derivative of the single layer potential ⋮ On one semi-analytical approximation of the normal derivative of the simple layer potential near the boundary of a two-dimensional domain ⋮ Quadrature formula for the harmonic double layer potential ⋮ Quadrature formula for the double layer potential with differentiable density

Cites Work

• Numerical method for the solution of integral equations in a problem with directional derivative for the Laplace equation outside open curves
• Numerical treatment of a skew-derivative problem for the Laplace equation in the exterior of an open arc
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