Symmetric energy-conserved S-FDTD scheme for two-dimensional Maxwell's equations in negative index metamaterials

DOI10.1007/s10915-016-0214-9zbMath1372.78020OpenAlexW2346652553MaRDI QIDQ2014034

Wanshan Li, Dong Liang

Publication date: 10 August 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0214-9

zbMATH Keywords

superconvergenceenergy-conservednegative refractive indexMaxwell's equations in metamaterialssymmetric EC-S-FDTD

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items

Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes ⋮ Global energy-preserving local mesh-refined S-FDTD schemes for two dimensional Maxwell's equations in Drude metamaterials ⋮ The energy conservative splitting FDTD scheme and its energy identities for metamaterial electromagnetic Lorentz system ⋮ New Energy Analysis of Yee Scheme for Metamaterial Maxwell's Equations on Non-Uniform Rectangular Meshes ⋮ The spatial fourth-order compact splitting FDTD scheme with modified energy-conserved identity for two-dimensional Lorentz model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials
• Stability analysis of FDTD to UPML for time dependent Maxwell equations
• A perfectly matched layer for the absorption of electromagnetic waves
• The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions
• Finite element analysis for wave propagation in double negative metamaterials
• Energy-conserved splitting FDTD methods for Maxwell's equations
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media