Stable and accurate integral equation methods for scattering problems with multiple material interfaces in two dimensions

DOI10.1016/j.jcp.2011.11.034zbMath1241.65107OpenAlexW1969585432MaRDI QIDQ419590

June-Yub Lee, Leslie F. Greengard

Publication date: 18 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.11.034

zbMATH Keywords

numerical examplesacoustic scatteringboundary integral equationsHelmholtz equationelectromagnetic scatteringtriple junctionsmultiple material interfacesMüller/Rockhlin integral equation

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) 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 (14)

A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions ⋮ Second-kind boundary integral equations for electromagnetic scattering at composite objects ⋮ Coupling FEM with a multiple-subdomain Trefftz method ⋮ Second kind boundary integral equation for multi-subdomain diffusion problems ⋮ Robust integral formulations for electromagnetic scattering from three-dimensional cavities ⋮ On the solution of Laplace's equation in the vicinity of triple junctions ⋮ On a Helmholtz transmission problem in planar domains with corners ⋮ Physical-density integral equation methods for scattering from multi-dielectric cylinders ⋮ Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects ⋮ Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions ⋮ An effective Chebyshev tau meshless domain decomposition method based on the integration-differentiation for solving fourth order equations ⋮ A second-kind Galerkin boundary element method for scattering at composite objects ⋮ Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions ⋮ On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary

Cites Work

• Universal quadratures for boundary integral equations on two-dimensional domains with corners
• The effective conductivity of random checkerboards
• Multiple traces boundary integral formulation for Helmholtz transmission problems
• Boundary integral equations in time-harmonic acoustic scattering
• Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning
• Solution of acoustic scattering problems by means of second kind integral equations
• A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
• Boundary-Integral Calculations of Two-Dimensional Electromagnetic Scattering in Infinite Photonic Crystal Slabs: Channel Defects and Resonances
• An Exponentially Convergent Nonpolynomial Finite Element Method for Time-Harmonic Scattering from Polygons
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Hybrid Gauss-Trapezoidal Quadrature Rules
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stable and accurate integral equation methods for scattering problems with multiple material interfaces in two dimensions