Yee-like schemes on a tetrahedral mesh, with diagonal lumping

Authors
Bossavit, A Kettunen, L
Citation
A. Bossavit et L. Kettunen, Yee-like schemes on a tetrahedral mesh, with diagonal lumping, INT J N MOD, 12(1-2), 1999, pp. 129-142
Citations number
37
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS
ISSN journal
08943370 → ACNP
Volume
12
Issue
1-2
Year of publication
1999
Pages
129 - 142
Database
ISI
SICI code
0894-3370(199901/04)12:1-2<129:YSOATM>2.0.ZU;2-V
Abstract
A Galerkin edge:element solution technique for Maxwell's equations in time domain is discussed. With proper diagonal lumping of one of the mass matric es, it can be seen as a generalization to a tetrahedral mesh and its baryce ntric dual of the staggered-grid finite difference scheme known nowadays as FDTD, or Yee's scheme. A new approach to the lumping, backed by a specific convergence-proof technique, is proposed. Copyright (C) 1999 John Wiley & Sons, Ltd.