Improved quadrature formula for a single-layer potential

DOI10.1134/s0965542523020100MaRDI QIDQ6039158

P. A. Krutitskii, I. O. Reznichenko

Publication date: 3 May 2023

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

zbMATH Keywords

quadrature formulauniform approximationsingle-layer potential

Mathematics Subject Classification ID

Numerical methods for ill-posed problems for integral equations (65R30) Numerical quadrature and cubature formulas (65D32)

Cites Work

• 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 skew derivative problem in the exterior of open curves in a plane
• The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves
• The Dirichlet problem for the dissipative Helmholtz equation in a plane domain bounded by closed and open curves
• The 2-dimensional Dirichlet problem in an external 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
• On the electric current from electrodes in a magnetized semiconductor film
• Wave propagation in a 2-D external domain with cuts
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