Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature
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Publication:1944004
DOI10.1007/s00211-012-0503-7zbMath1279.78019OpenAlexW2163808070MaRDI QIDQ1944004
Publication date: 3 April 2013
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-012-0503-7
electromagnetic scatteringGalerkin BEMRunge-Kutta convolution quadraturetime domain integral equation
Numerical methods for integral equations (65R20) Diffraction, scattering (78A45) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (13)
Time-dependent electromagnetic scattering from thin layers ⋮ Time Domain Integral Equation Methods in Computational Electromagnetism ⋮ FEM-BEM coupling for the thermoelastic wave equation with transparent boundary conditions in 3D ⋮ Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations ⋮ Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations ⋮ Stability analysis of the marching-on-in-time boundary element method for electromagnetics ⋮ Overresolving in the Laplace Domain for Convolution Quadrature Methods ⋮ Time dependent electromagnetic scattering by a penetrable obstacle ⋮ Correction to: ``Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations ⋮ Fast convolution quadrature for the wave equation in three dimensions ⋮ Space-Time Discretized Retarded Potential Boundary Integral Operators: Quadrature for Collocation Methods ⋮ The time‐domain Lippmann–Schwinger equation and convolution quadrature ⋮ Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation
Uses Software
Cites Work
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- Runge-Kutta convolution quadrature for operators arising in wave propagation
- An error analysis of Runge-Kutta convolution quadrature
- Convolution quadrature and discretized operational calculus. I
- Convolution quadrature and discretized operational calculus. II
- On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
- Uniformly stable preconditioned mixed boundary element method for low-frequency electromagnetic scattering
- Convolution quadrature revisited
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions
- On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
- Wave Propagation Problems Treated with Convolution Quadrature and BEM
- Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and Panel-Clustering
- Multistep and Multistage Convolution Quadrature for the Wave Equation: Algorithms and Experiments
- Numerical Analysis of the Exterior Boundary Value Problem for the Time- Harmonic Maxwell Equations by a Boundary Finite Element Method Part 2: The Discrete Problem
- Sparse convolution quadrature for time domain boundary integral formulations of the wave equation
- Diffraction of Pulses by Cylindrical Obstacles of Arbitrary Cross Section
- Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature
- Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra
- Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation
- Formulation variationnelle espace‐temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)
- Rapid Solution of the Wave Equation in Unbounded Domains
- An Accurate Scheme for the Solution of the Time-Domain Integral Equations of Electromagnetics Using Higher Order Vector Bases and Bandlimited Extrapolation
- Implicit Runge-Kutta Methods for the Discretization of Time Domain Integral Equations
- A Finite Difference Delay Modeling Approach to the Discretization of the Time Domain Integral Equations of Electromagnetics
- Numerical treatment of retarded boundary integral equations by sparse panel clustering
- Fast and Oblivious Convolution Quadrature
- Boundary Element Methods
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- Coupling of finite elements-retarded potentials for the electromagnetic diffraction by a heterogeneous obstacle
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