A high-order, fast algorithm for scattering calculation in two dimensions

DOI10.1016/S0898-1221(04)90001-6zbMath1048.65118OpenAlexW1966980782MaRDI QIDQ1433078

Yu Chen, Juan C. Aguilar

Publication date: 15 June 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(04)90001-6

zbMATH Keywords

performancealgorithmnumerical examplesscatteringfast Fourier transformHelmholtz equationLippmann-Schwinger integral equationQuadrature rulesCorrection coefficientsLarge wave numbersLogarithmic singularity

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Technical applications of optics and electromagnetic theory (78A55) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

A fast rapidly convergent method for approximation of convolutions with applications to wave scattering and some other problems ⋮ An efficient high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface ⋮ Higher-order Newton-Cotes rules with end corrections ⋮ Maximization of the quality factor of an optical resonator ⋮ High-order corrected trapezoidal quadrature rules for the Coulomb potential in three dimensions ⋮ Improved convergence of fast integral equation solvers for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface

Cites Work

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• Fast multipole method as an efficient solver for 2D elastic wave surface integral equations
• A fast direct algorithm for the solution of the Laplace equation on regions with fractal boundaries
• High-order corrected trapezoidal quadrature rules for functions with a logarithmic singularity in 2-D.
• High-order quadratures for integral operators with singular kernels
• Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
• High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
• The use of Huygens' equivalence principle for solving 3-D volume integral equation of scattering
• A fast, direct algorithm for the Lippmann-Schwinger integral equation in two dimensions

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