On Discrete Energy Dissipation of Maxwell'S Equations In a Cole-Cole Dispersive Medium

DOI10.4208/jcm.2210-m2021-0257OpenAlexW4362585276MaRDI QIDQ6049037

Hong Li, Yang Liu, Baoli Yin, Zhimin Zhang

Publication date: 16 October 2023

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

Full work available at URL: https://doi.org/10.4208/jcm.2210-m2021-0257

zbMATH Keywords

mixed finite element methodsMaxwell's equationsCrank-Nicolson schemediscrete energy dissipationshifted fractional trapezoidal rule

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06) Acceleration of convergence in numerical analysis (65B99)

Related Items (1)

Multi-output physics-informed neural network for one- and two-dimensional nonlinear time distributed-order models

Cites Work

• Unnamed Item
• Incorporating the Havriliak-Negami dielectric model in the FD-TD method
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions
• Discrete maximal regularity of time-stepping schemes for fractional evolution equations
• Superconvergence analysis of high-order rectangular edge elements for time-harmonic Maxwell's equations
• A new positive definite expanded mixed finite element method for parabolic integrodifferential equations
• Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
• Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection-diffusion model
• An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media
• A CG-DG method for Maxwell's equations in Cole-Cole dispersive media
• Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes
• A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Analysis of a time-domain finite element method for 3-D Maxwell's equations in dispersive media
• A fully discrete difference scheme for a diffusion-wave system
• Discretized Fractional Calculus
• Developing Finite Element Methods for Maxwell's Equations in a Cole–Cole Dispersive Medium
• Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
• A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
• Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
• A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations
• Finite Element Methods for Maxwell's Equations
• Analysis of a backward Euler-type scheme for Maxwell’s equations in a Havriliak–Negami dispersive medium
• An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes
• Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
• An Auxiliary Differential Equation Method for FDTD Modeling of Wave Propagation in Cole-Cole Dispersive Media
• FDTD Schemes for Wave Propagation in Davidson-Cole Dispersive Media Using Auxiliary Differential Equations

This page was built for publication: On Discrete Energy Dissipation of Maxwell'S Equations In a Cole-Cole Dispersive Medium