Convolution-in-Time Approximations of Time Domain Boundary Integral Equations

DOI10.1137/120881907zbMath1272.65074OpenAlexW2266526032MaRDI QIDQ4917150

Dugald B. Duncan, Penny J. Davies

Publication date: 29 April 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0ed53cf44d3b37d221b6df85b1b3ff960a77ce75

zbMATH Keywords

convergencenumerical testsVolterra integral equationsconvolution quadraturetime-dependent boundary integral equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Diffraction, scattering (78A45) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (10)

Time Domain Integral Equation Methods in Computational Electromagnetism ⋮ On the discretization and application of two space-time boundary integral equations for 3D wave propagation problems in unbounded domains ⋮ Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations ⋮ Stability analysis of the marching-on-in-time boundary element method for electromagnetics ⋮ Exact non-reflecting boundary condition for 3D time-dependent multiple scattering-multiple source problems ⋮ A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space ⋮ High-order discretization of a stable time-domain integral equation for 3D acoustic scattering ⋮ Time dependent electromagnetic scattering by a penetrable obstacle ⋮ A new boundary element integration strategy for retarded potential boundary integral equations ⋮ Positivity of a weakly singular operator and approximation of wave scattering from the sphere

Uses Software

• DLMF

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