Stability of FDTD on nonuniform grids for Maxwell's equations in lossless media
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Publication:860253
DOI10.1016/j.jcp.2006.02.022zbMath1106.78013OpenAlexW2083957526MaRDI QIDQ860253
Publication date: 9 January 2007
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2006.02.022
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20)
Related Items (7)
The Crank-Nicolson mixed finite element method for the improved system of time-domain Maxwell's equations ⋮ An in-depth stability analysis of nonuniform FDTD combined with novel local implicitization techniques ⋮ Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium ⋮ On the relation between FDTD and Fibonacci polynomials ⋮ New Energy Analysis of Yee Scheme for Metamaterial Maxwell's Equations on Non-Uniform Rectangular Meshes ⋮ A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium ⋮ Hybrid Newmark-conformal FDTD modeling of thin spoof plasmonic metamaterials
Uses Software
Cites Work
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- On the stability of the finite-difference time-domain method
- Application of the difference Gaussian rules to solution of hyperbolic problems
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- A Convergence Analysis of Yee’s Scheme on Nonuniform Grids
- ARPACK Users' Guide
- Numerical stability of nonorthogonal FDTD methods
- Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain
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