Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary

DOI10.1016/j.jmaa.2016.02.070zbMath1338.35416arXiv1410.7177OpenAlexW2963370036MaRDI QIDQ266466

Lihai Ji, Jialin Hong

Publication date: 13 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7177

zbMATH Keywords

Maxwell equationsenergy evolutionmulti-symplectic Runge-Kutta methodsmulti-symplectic Yee methodperfectly matched layer

Mathematics Subject Classification ID

Related Items (3)

Efficient energy structure-preserving schemes for three-dimensional Maxwell's equations ⋮ Stable and efficient numerical schemes for two-dimensional Maxwell equations in lossy medium ⋮ A Conformal Energy-Conserved Method for Maxwell’s Equations with Perfectly Matched Layers

Cites Work

• Splitting multisymplectic integrators for Maxwell's equations
• Review of the formulation and applications of the finite-difference time- domain method for numerical modeling of electromagnetic wave interactions with arbitrary structures
• A perfectly matched layer for the absorption of electromagnetic waves
• Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
• Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients
• Energy-conserved splitting FDTD methods for Maxwell's equations
• Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations
• Energy-Conserved Splitting Finite-Difference Time-Domain Methods for Maxwell's Equations in Three Dimensions
• The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
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