Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media
DOI10.1016/j.jcp.2019.05.022zbMath1452.78032arXiv1810.01723OpenAlexW2895580424WikidataQ127861350 ScholiaQ127861350MaRDI QIDQ2222277
Yingda Cheng, Puttha Sakkaplangkul, Vrushali A. Bokil, Yan Jiang, Fengyan Li
Publication date: 26 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.01723
Maxwell's equationsfinite differencesdiscontinuous Galerkin finite elementsnumerical dispersionLorentz model
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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (4)
Cites Work
- Unnamed Item
- Dispersive behaviour of high order finite element schemes for the one-way wave equation
- Interior penalty DG methods for Maxwell's equations in dispersive media
- On the spurious solutions in the high-order finite difference methods for eigenvalue problems
- Spurious modes in finite-element discretizations of the wave equation may not be all that bad
- An analysis of the discontinuous Galerkin method for wave propagation problems
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation
- Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- Eigensolution analysis of the discontinuous Galerkin method with nonuniform grids: I. One space dimension
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
- Dispersion and dissipation errors of two fully discrete discontinuous Galerkin methods
- Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids
- Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations
- Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
- $L^2$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations
- Analysis of spatial high-order finite difference methods for Maxwell's equations in dispersive media
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Group Velocity in Finite Difference Schemes
- A Comparison of Three Mixed Methods for the Time-Dependent Maxwell’s Equations
- Time-domain finite-element methods
- Convergence of a discontinuous Galerkin scheme for the mixed time-domain Maxwell's equations in dispersive media
- Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media
- A Discontinuous Galerkin Finite Element Time-Domain Method Modeling of Dispersive Media
- Numerical Modeling of Laser Pulse Behavior in Nonlinear Crystal and Application to the Second Harmonic Generation
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