An Accurate Scheme for the Solution of the Time-Domain Integral Equations of Electromagnetics Using Higher Order Vector Bases and Bandlimited Extrapolation

In this paper we consider time-dependent electromagnetic scattering problems from conducting objects. We discretize the time-domain electric field integral equation using RungeKutta convolution quadrature in time and a Galerkin method in space. We analyze the involved operators in the Laplace domain and obtain convergence results for the fully discrete scheme. Numerical experiments indicate the sharpness of the theoretical estimates.

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“…[3,30,36,2,1,16,33]) and methods based on bandlimited interpolation and extrapolation (cf. [41,39,40,42]). …”

Section: Introductionmentioning

confidence: 99%

Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature

et al. 2012

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“…In particular, Subfigures (c) and (d) show that the temporal convergence is exponential with the size of the basis function, and figure (d) shows the influence of higher order spatial convergence: much more accurate results can be obtained with less work. This work is reported in [1].…”

Section: Improvements In the Core Algorithmmentioning

confidence: 96%

A Time Domain Integral Equation Approach to Electromagnetic Interference Simulation

Weile¹

2007

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“…As the last example, the flower-shaped scatterer described in [6] is analyzed. The scatterer is modeled with N = 873 RWG basis functions.…”

Section: Td-cfie-2mentioning

confidence: 99%

Temporal preconditioners for marching-on-in-time-based time domain integral equation solvers

Ülkü¹

2017

Turk J Elec Eng & Comp Sci

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An Accurate Scheme for the Solution of the Time-Domain Integral Equations of Electromagnetics Using Higher Order Vector Bases and Bandlimited Extrapolation

Cited by 50 publications

References 28 publications

Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature

Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature

A Time Domain Integral Equation Approach to Electromagnetic Interference Simulation

Temporal preconditioners for marching-on-in-time-based time domain integral equation solvers

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