Quadrature formula for normal derivative of double layer potential

DOI10.13108/2023-15-4-100MaRDI QIDQ6553592

E. G. Khalilov

Publication date: 11 June 2024

Published in: Ufimskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

singular integralquadrature formulasdouble layer potentialLyapunov curveHankel function

Mathematics Subject Classification ID

Integral operators (45P05) Approximate quadratures (41A55) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Integral equations with kernels of Cauchy type (45E05)

Cites Work

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• Boundary integral equations in time-harmonic acoustic scattering
• Justification of the collocation method for an integral equation of the exterior Dirichlet problem for the Laplace equation
• Analysis of approximate solution for a class of systems of integral equations
• Justification of the collocation method for a class of surface integral equations
• Justification of a quadrature method for an integral equation to the external Neumann problem for the Helmholtz equation
• Study of approximate solution to integral equation associated with mixed boundary value problem for Laplace equation
• A QUADRATURE FORMULA FOR THE DERIVATIVE OF LOGARITHMIC POTENTIALS
• ON THE DERIVATIVE OF THE DOUBLE-LAYER LOGARITHMIC POTENTIAL
• Quadrature formulas for some classes of curvilinear integrals

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