scholarly journals A Higher Order Perturbation Approach for Electromagnetic Scattering Problems on Random Domains

2020 ◽  
Vol 8 (2) ◽  
pp. 748-774
Author(s):  
Jürgen Dölz
Keyword(s):  
Electromagnetic Scattering ◽  
Higher Order ◽  
Order Perturbation ◽  
Perturbation Approach ◽  
Scattering Problems ◽  
Random Domains

A Multilevel Numerical Approach with Application in Time-Domain Electromagnetics

2015 ◽  
Vol 17 (3) ◽  
pp. 703-720 ◽  
Author(s):  
Avijit Chatterjee
Keyword(s):  
Wave Propagation ◽  
Time Domain ◽  
Electromagnetic Scattering ◽  
Computational Cost ◽  
Numerical Approach ◽  
Higher Order ◽  
Linear Wave ◽  
Multilevel Method ◽  
Scattering Problems ◽  
Forcing Function

AbstractAn algebraic multilevel method is proposed for efficiently simulating linear wave propagation using higher-order numerical schemes. This method is used in conjunction with the Finite Volume Time Domain (FVTD) technique for the numerical solution of the time-domain Maxwell’s equations in electromagnetic scattering problems. In the multilevel method the solution is cycled through spatial operators of varying orders of accuracy, while maintaining highest-order accuracy at coarser approximation levels through the use of the relative truncation error as a forcing function. Higher-order spatial accuracy can be enforced using the multilevel method at a fraction of the computational cost incurred in a conventional higher-order implementation. The multilevel method is targeted towards electromagnetic scattering problems at large electrical sizes which usually require long simulation times due to the use of very fine meshes dictated by point-per-wavelength requirements to accurately model wave propagation over long distances.

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