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Finite integration technique on triangular grids revisited
Author(s) -
van Rienen Ursula
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<107::aid-jnm322>3.0.co;2-2
Subject(s) - discretization , finite element method , polygon mesh , eigenvalues and eigenvectors , computation , focus (optics) , harmonic , mathematics , mathematical analysis , maxwell's equations , grid , computer science , geometry , physics , algorithm , engineering , acoustics , structural engineering , optics , quantum mechanics
The focus of this paper is on the solution of Maxwell's equations for time‐harmonic fields on triangular, possibly non‐orthogonal meshes. The method described was first introduced in References 1 and 2 for eigenvalue problems arising in the design of accelerator components and dielectric loaded waveguides. It is based on the well‐known Finite Integration Technique (FIT) which is a proven consistent discretization method for the computation of electromagnetic fields. The FIT‐discretization on non‐orthogonal 2D grids has close relations to the Nédélec elements or edge elements in the Finite Element Method. Revisiting FIT on triangular grids this paper intends to stimulate thorough studies of the latter subject which is well worth further investigations. Copyright © 1999 John Wiley & Sons, Ltd.