Quadrature formula for a double layer potential in the case of the Helmholtz equation

DOI10.1134/S0965542522030095zbMath1493.65253OpenAlexW4224028252MaRDI QIDQ2131362

P. A. Krutitskii, I. O. Reznichenko

Publication date: 26 April 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522030095

zbMATH Keywords

quadrature formulaHelmholtz equationdouble layer potential

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

• Numerical method for the solution of integral equations in a problem with directional derivative for the Laplace equation outside open curves
• Simulation of the aerodynamics of buildings and structures by means of the closed vortex loop method
• The Neumann problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
• Quadrature formula for the simple layer potential
• Numerical treatment of a skew-derivative problem for the Laplace equation in the exterior of an open arc
• The Helmholtz equation in the exterior of slits in a plane with different impedance boundary conditions on opposite sides of the slits
• The Dirichlet Problem for the 2‐D Helmholtz Equation in a Multiply Connected Domain with Cuts
• Wave propagation in a 2-D external domain with cuts
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