The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell's equations

DOI10.1016/j.jcp.2013.02.040zbMath1349.78094OpenAlexW1999028370MaRDI QIDQ347683

Qiang Yuan, Dong Liang

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.02.040

zbMATH Keywords

Maxwell's equationsenergy-conservedS-FDTDspatial fourth-order

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Maxwell equations (35Q61)

Related Items (12)

Energy-preserving local mesh-refined splitting FDTD schemes for two dimensional Maxwell's equations ⋮ Numerical analysis of AVF methods for three-dimensional time-domain Maxwell's equations ⋮ Stable explicit coupling of the yee scheme with a linear current model in fluctuating magnetized plasmas ⋮ Two Energy-Conserved Splitting Methods for Three-Dimensional Time-Domain Maxwell's Equations and the Convergence Analysis ⋮ Legendre-tau Chebyshev collocation spectral element method for Maxwell's equations with material interfaces of two dimensional transverse magnetic mode ⋮ A novel class of explicit divergence-free time-domain methods for efficiently solving Maxwell's equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Numerical analysis of finite-difference time-domain method for 2D/3D Maxwell's equations in a Cole-Cole dispersive medium ⋮ The spatial fourth-order compact splitting FDTD scheme with modified energy-conserved identity for two-dimensional Lorentz model ⋮ Optimal error estimate for energy-preserving splitting schemes for Maxwell's equations ⋮ High-order ADI-FDTD schemes for Maxwell's equations with material interfaces in two dimensions

Cites Work

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• Analysis of iterated ADI-FDTD schemes for Maxwell curl equations
• An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media
• Application of operator splitting to the Maxwell equations including a source term
• The method of fractional steps for conservation laws
• An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations
• On the construction of a high order difference scheme for complex domains in a Cartesian grid
• The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions
• Optimized three-dimensional FDTD discretizations of Maxwell's equations on Cartesian grids
• Energy-conserved splitting FDTD methods for Maxwell's equations
• Numerical Solution of the Time-Domain Maxwell Equations Using High-Accuracy Finite-Difference Methods
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term
• A Convergence Analysis of Yee’s Scheme on Nonuniform Grids
• Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method
• Numerical Solution of Partial Differential Equations
• IMPROVED ACCURACY FOR LOCALLY ONE-DIMENSIONAL METHODS FOR PARABOLIC EQUATIONS
• A Split-Step FDTD Method for 3-D Maxwell's Equations in General Anisotropic Media
• On the Construction and Comparison of Difference Schemes
• A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations

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