A second-kind Galerkin boundary element method for scattering at composite objects

DOI10.1007/s10543-014-0496-yzbMath1316.65105OpenAlexW2037331740MaRDI QIDQ2264047

Elke Spindler, Xavier Claeys, Ralf Hiptmair

Publication date: 20 March 2015

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0496-y

zbMATH Keywords

convergencenumerical exampleacoustic scatteringGalerkin boundary element methodcomposite objectssecond-kind boundary integral eqautions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (11)

Closed Form Inverse of Local Multi-Trace Operators ⋮ Second-kind boundary integral equations for electromagnetic scattering at composite objects ⋮ Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem ⋮ Second kind boundary integral equation for multi-subdomain diffusion problems ⋮ Detecting near resonances in acoustic scattering ⋮ On the solution of Laplace's equation in the vicinity of triple junctions ⋮ Volume integral equations and single-trace formulations for acoustic wave scattering in an inhomogeneous medium ⋮ Multitrace/singletrace formulations and domain decomposition methods for the solution of Helmholtz transmission problems for bounded composite scatterers ⋮ Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects ⋮ An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis ⋮ Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions

Uses Software

• DLMF
• NGSolve

Cites Work

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• Transmission problems for the Helmholtz equation
• ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS
• On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
• Multitrace boundary integral equations
• Boundary Element Methods

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