A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media
type: Item
instance of: scholarly article
title: A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media
zbMATH Open document ID: 1386.78021
author: Kun Li
author: Ting-Zhu Huang
author: Liang Li
author: Stéphane Lanteri
published in: Journal of Computational and Applied Mathematics
publication date: 2018-02-14T00:00:00Z
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 6838782
zbMATH Keywords: time-domain Maxwell equations
zbMATH Keywords: dispersive media
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: model order reduction
zbMATH Keywords: proper orthogonal decomposition
MaRDI profile type: Publication
full work available at URL: j.cam.2017.12.051
OpenAlex ID: W2782683669
cites work: Convergence of a discontinuous Galerkin scheme for the mixed time-domain Maxwell's equations in dispersive media
cites work: Error analysis of fully discrete mixed finite element schemes for 3-D Maxwell's equations in dispersive media
cites work: A Discontinuous Galerkin Finite Element Time-Domain Method Modeling of Dispersive Media
cites work: Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
cites work: A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time domain
cites work: Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time-harmonic Maxwell's equations
cites work: A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell's equation
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
cites work: Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number
cites work: Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
cites work: Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
cites work: Q3621211
cites work: A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics
cites work: Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media
cites work: Analysis of a time-domain finite element method for 3-D Maxwell's equations in dispersive media
cites work: High-order DGTD methods for dispersive Maxwell's equations and modelling of silver nanowire coupling
cites work: Analysis of a Generalized Dispersive Model Coupled to a DGTD Method with Application to Nanophotonics
cites work: A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles
cites work: The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
cites work: Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
cites work: POD and CVT-based reduced-order modeling of Navier-Stokes flows
cites work: Finite element formulation based on proper orthogonal decomposition for parabolic equations
cites work: Galerkin proper orthogonal decomposition methods for parabolic problems
cites work: A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations
cites work: Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration
cites work: Turbulence, Coherent Structures, Dynamical Systems and Symmetry
cites work: Principal component analysis.
cites work: Fast wave propagation by model order reduction
cites work: An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction
cites work: A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium
cites work: A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account non-local dispersion effects
cites work: A hybridizable discontinuous Galerkin method for solving nonlocal optical response models
DOI: 10.1016/J.CAM.2017.12.051
description: scientific article; zbMATH DE number 6838782