An upwinding embedded boundary method for Maxwell's equations in media with material interfaces: 2D case
type: Item
instance of: scholarly article
title: An upwinding embedded boundary method for Maxwell's equations in media with material interfaces: 2D case
zbMATH Open document ID: 1031.78005
DOI: 10.1016/S0021-9991(03)00269-9
author: Wei Cai
author: Shaozhong Deng
published in: Journal of Computational Physics
publication date: 2003-09-15T00:00:00Z
review text: The authors have introduced an upwinding embedded boundary method to solve time dependent Maxwell's equations in media with material interfaces. A global second-order finite difference method is obtained by combining central difference schemes away from the interfaces and upwinding technique with jump conditions near the interfaces. Numerical tests to demonstrate the simplicity, global second-order accuracy and stability of the proposed method are presented.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 78M20
zbMATH DE Number: 1981542
zbMATH Keywords: electromagnetic scattering
zbMATH Keywords: finite difference time-domain method
zbMATH Keywords: Cartesian grid methods
MaRDI profile type: Publication
cites work: Q4856567
cites work: Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
cites work: Convergent Cartesian grid methods for Maxwell's equations in complex geometries.
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: Q4109239
cites work: Q4952273
cites work: Q4952288
cites work: Q4247532
cites work: The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
cites work: The immersed interface method for acoustic wave equations with discontinuous coefficients
cites work: Q4886163
cites work: Ultraconvergence of the patch recovery technique II
cites work: A perfectly matched layer for the absorption of electromagnetic waves
cites work: On the construction and analysis of absorbing layers in CEM
cites work: Q3848621
cites work: Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
cites work: Q3993078
Recommended article: An upwinding boundary condition capturing method for Maxwell's equations in media with material interfaces
Recommended article: Q3593762
Recommended article: An ‘upwind’ finite element method for electromagnetic field problems in moving media
Recommended article: Q4463081
Recommended article: Boundary element methods for Maxwell's equations on non-smooth domains
Recommended article: On the immersed interface method for solving time-domain Maxwell's equations in materials with curved dielectric interfaces
Recommended article: Coupling of finite element and boundary integral methods for electromagnetic scattering in a two-layered medium
Recommended article: Bicompact finite-difference scheme for Maxwell's equations in layered media
Recommended article: Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations
Recommended article: Q4326963
description: scientific article; zbMATH DE number 1981542