A generalized Calderón formula for open-arc diffraction problems: theoretical considerations

DOI10.1017/S0308210512000807zbMath1322.65111arXiv1204.3699OpenAlexW2964338872MaRDI QIDQ5258218

Stéphane K. Lintner, Oscar P. Bruno

Publication date: 25 June 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3699

zbMATH Keywords

Sobolev spacescatteringboundary element methodintegral operatorintegral equations of the second kindNeumann boundary conditioncompact operatorHelmholtz equationnumerical experimentCesàro operatorpoint spectrumgeneralized Calderón formula

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

A high-order integral solver for scalar problems of diffraction by screens and apertures in three-dimensional space ⋮ Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains ⋮ Integral equations on multi-screens ⋮ Regularity theory and high order numerical methods for the (1D)-fractional Laplacian ⋮ A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle ⋮ A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels ⋮ Smoothed Corners and Scattered Waves ⋮ About Some Boundary Integral Operators on the Unit Disk Related to the Laplace Equation ⋮ Regularized integral equation methods for elastic scattering problems in three dimensions ⋮ Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems

This page was built for publication: A generalized Calderón formula for open-arc diffraction problems: theoretical considerations