Some new problems in numerical integration

DOI10.1016/J.CAM.2006.10.067zbMath1134.65019OpenAlexW2149899787MaRDI QIDQ2475372

Giovanni Monegato

Publication date: 11 March 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.10.067

zbMATH Keywords

numerical examplesquadrature formulasMaxwell equationhypersingular integral equationsGalerkin methodshypersingular integralsGalerkin matrix elements

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) PDEs in connection with optics and electromagnetic theory (35Q60) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Electromagnetic theory (general) (78A25) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

Lubich convolution quadratures and their application to problems described by space-time BIEs

Cites Work

• Unnamed Item
• Numerical integration of functions with endpoint singularities and/or complex poles in 3D Galerkin boundary element methods
• A fast method for the solution of a hypersingular integral equation arising in a waveguide scattering problem
• A Posteriori Error Control for Finite Element Approximations of the Integral Equation for Thin Wire Antennas
• Accurate and efficient algorithms for frequency domain scattering from a thin wire

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