Improved quadrature formulas for the direct value of the normal derivative of a single-layer potential

DOI10.1134/S0965542524020076zbMATH Open1540.35107MaRDI QIDQ6540048

I. O. Reznichenko, P. A. Krutitskii

Publication date: 15 May 2024

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

zbMATH Keywords

quadrature formulanormal derivativesingle-layer potential

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15)

Cites Work

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• Numerical method for the solution of integral equations in a problem with directional derivative for the Laplace equation outside open curves
• The Neumann problem on wave propagation in a 2-D external domain with cuts
• The 2-dimensional Dirichlet problem in an external domain with cuts
• Quadrature formula for the direct value of the normal derivative of the single layer potential
• Quadrature formula for the simple layer potential
• The Helmholtz equation in the exterior of slits in a plane with different impedance boundary conditions on opposite sides of the slits
• On the electric current from electrodes in a magnetized semiconductor film
• The Dirichlet problem for the two-dimensional Laplace equation in a multiply connected domain with cuts
• Improved quadrature formula for a single-layer potential

Related Items (1)

Testing of quadrature formulas for the direct value of the normal derivative of a single-layer potential at the boundary of a thin body

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