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Yee‐like schemes on a tetrahedral mesh, with diagonal lumping
Author(s) -
Bossavit A.,
Kettunen L.
Publication year - 1999
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/(sici)1099-1204(199901/04)12:1/2<129::aid-jnm327>3.0.co;2-g
Subject(s) - barycentric coordinate system , diagonal , mathematics , convergence (economics) , finite element method , generalization , mathematical analysis , galerkin method , tetrahedron , grid , scheme (mathematics) , mesh generation , geometry , physics , economics , thermodynamics , economic growth
A Galerkin edge‐element solution technique for Maxwell's equations in time domain is discussed. With proper diagonal lumping of one of the mass matrices, it can be seen as a generalization to a tetrahedral mesh and its barycentric 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 © 1999 John Wiley & Sons, Ltd.