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A uniformly stable conformal FDTD‐method in Cartesian grids
Author(s) -
Zagorodnov I.A.,
Schuhmann R.,
Weiland T.
Publication year - 2003
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.488
Subject(s) - conformal map , finite difference time domain method , cartesian coordinate system , convergence (economics) , rate of convergence , mathematics , domain (mathematical analysis) , mathematical analysis , order (exchange) , finite difference method , computer science , geometry , physics , optics , telecommunications , channel (broadcasting) , economics , economic growth , finance
A conformal finite‐difference time‐domain algorithm for the solution of electrodynamic problems in general perfectly conducting 3D geometries is presented. Unlike previous conformal approaches it has the second‐order convergence without the need to reduce the maximal stable time step of conventional staircase approach. A novel proof for the local error rate for general geometries is given, and the method is verified and compared to other approaches by means of several numerical 2D examples. Copyright © 2003 John Wiley & Sons, Ltd.