Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium
type: Item
instance of: scholarly article
title: Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium
zbMATH Open document ID: 1268.78023
author: Bo Zhang
author: Liping Gao
published in: Science China. Mathematics
publication date: 2013-01-29T00:00:00Z
review text: The authors study stability and convergence of the finite difference time domain (FDTD) method for the 2D Maxwell equations in a lossy medium with perfectly electric conducting boundary conditions. They develop a new energy method to establish stability and optimal second-order error estimates in space and time in the discrete \(H^1\) norm for FDTD and its time difference scheme. Some numerical experiments consistent with the theoretical convergence results are also presented.
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6132166
zbMATH Keywords: Maxwell equations
zbMATH Keywords: finite-difference time-domain method
zbMATH Keywords: stability
zbMATH Keywords: superconvergence
zbMATH Keywords: perfectly electric conducting boundary conditions
zbMATH Keywords: energy identities
reviewed by: Johannes Elschner
MaRDI profile type: Publication
full work available at URL: s11425-011-4305-7
OpenAlex ID: W2267185528
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DOI: 10.1007/S11425-011-4305-7
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description: scientific article; zbMATH DE number 6132166