Detailed analysis of the effects of stencil spatial variations with arbitrary high-order finite-difference Maxwell solver

DOI10.1016/j.cpc.2015.11.009zbMath1351.78057arXiv1507.05572OpenAlexW1652551217MaRDI QIDQ2374022

Jean-Luc Vay, H. Vincenti

Publication date: 14 December 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05572

zbMATH Keywords

perfectly matched layersdomain decomposition technique3D electromagnetic simulationseffects of stencil truncation errorspseudo-spectral Maxwell solververy high-order Maxwell solver

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Maxwell equations (35Q61)

Related Items (5)

X-dispersionless Maxwell solver for plasma-based particle acceleration ⋮ Two-step perfectly matched layer for arbitrary-order pseudo-spectral analytical time-domain methods ⋮ \textsc{Smilei} : a collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation ⋮ A generalized massively parallel ultra-high order FFT-based Maxwell solver ⋮ A hybrid nodal-staggered pseudo-spectral electromagnetic particle-in-cell method with finite-order centering

Uses Software

• Mathematica

Cites Work

• Efficiency of the perfectly matched layer with high-order finite difference and pseudo-spectral Maxwell solvers
• A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas
• Numerical stability analysis of the pseudo-spectral analytical time-domain PIC algorithm
• On the elimination of numerical Čerenkov radiation in PIC simulations
• Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series
• A perfectly matched layer for the absorption of electromagnetic waves
• Mathematical proof of closed form expressions for finite difference approximations based on Taylor series
• Asymmetric perfectly matched layer for the absorption of waves.
• High-Order Finite Differences and the Pseudospectral Method on Staggered Grids
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

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