A collocation method for a hypersingular boundary integral equation via trigonometric differentiation

DOI10.1216/JIE-2014-26-2-197zbMath1310.65169MaRDI QIDQ2510854

Rainer Kress

Publication date: 4 August 2014

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1405949662

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items (12)

The direct scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder ⋮ The natural boundary integral equation of the orthotropic potential problem ⋮ A fast trigonometric collocation method for some elliptic pseudodifferential equations ⋮ On the regularization of Cauchy-type integral operators via the density interpolation method and applications ⋮ Numerical solution of a generalized boundary value problem for the modified Helmholtz equation in two dimensions ⋮ A novel boundary integral formulation for the biharmonic wave scattering problem ⋮ Integral Equation Methods in Inverse Obstacle Scattering with a Generalized Impedance Boundary Condition ⋮ The inverse electromagnetic scattering problem by a penetrable cylinder at oblique incidence ⋮ Unnamed Item ⋮ A highly accurate boundary integral method for the elastic obstacle scattering problem ⋮ A nonlinear integral equation and an iterative algorithm for an inverse source problem ⋮ Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D

Cites Work

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• A fast solver for a hypersingular boundary integral equation
• On the numerical solution of a hypersingular integral equation in scattering theory
• Boundary element preconditioners for a hypersingular integral equation on an interval
• Wave-number estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions
• Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
• A discrete Galerkin method for a hypersingular boundary integral equation
• The Numerical Solution of Integral Equations of the Second Kind
• Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition
• Integral Equation Methods in Scattering Theory
• Linear integral equations
• Inverse acoustic and electromagnetic scattering theory

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