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Finite element formulation of space–time subgridding scheme in the FDTD method
Author(s) -
Wong M. F.,
Fouad Hanna V.,
Wiart J.
Publication year - 2000
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(200003/06)13:2/3<127::aid-jnm350>3.0.co;2-b
Subject(s) - finite difference time domain method , polygon mesh , grid , finite element method , scheme (mathematics) , spacetime , point (geometry) , coupling (piping) , space (punctuation) , mathematics , computer science , maxwell's equations , mathematical analysis , calculus (dental) , geometry , physics , engineering , optics , mechanical engineering , quantum mechanics , operating system , medicine , dentistry , thermodynamics
A new point of view based on a finite element formulation for solving Maxwell's equations in the time domain is presented to deal with grid refinements in FDTD. The formulation allows the coupling of non‐conforming structured or unstructured meshes. As a special case, it can advantageously derive stable space–time subgridding schemes in FDTD. Numerical experiments demonstrate the efficiency and the validity of the technique. Copyright © 2000 John Wiley & Sons, Ltd.