Quadrature formula for the direct value of the double-layer potential

DOI10.1134/S0361768822030094zbMath1505.65153OpenAlexW4282051793WikidataQ113785931 ScholiaQ113785931MaRDI QIDQ2172736

I. O. Reznichenko, P. A. Krutitskii

Publication date: 16 September 2022

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768822030094

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Uses Software

• Matlab
• Symbolic Math Toolbox

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 for the 2-D Helmholtz equation in a multiply connected domain with cuts
• Quadrature formula for the direct value of the normal derivative of the single layer potential
• Quadrature formula for the harmonic double layer potential
• 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
• The Dirichlet problem for the two-dimensional Laplace equation in a multiply connected domain with cuts
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