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Comparison between line and surface integral formulations of the hybrid mode‐matching/two‐dimensional finite element method
Author(s) -
Crinó Vincenzo,
Tomassoni Cristiano,
Mongiardo Mauro
Publication year - 2004
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.558
Subject(s) - classification of discontinuities , finite element method , normalization (sociology) , surface integral , line integral , surface (topology) , modal , line (geometry) , mathematical analysis , mathematics , computer science , algorithm , integral equation , geometry , structural engineering , engineering , materials science , sociology , anthropology , polymer chemistry
The hybrid mode‐matching/two‐dimensional‐finite‐element (MM/FEM2D) technique has been proposed for the analysis of discontinuities with waveguides of arbitrary cross section; this technique combines the computational efficiency of modal analysis with the versatility and flexibility of the FEM approach. In this paper, we present in detail a surface‐integrals and a line‐integrals formulation of the hybrid MM/FEM2D technique, in case the ‘Standard Formulation’ is used as FEM2D formulation. Such formulations allow computing analytically both the normalization and the coupling integrals. Furthermore, we compare the accuracy obtained by using the line‐integrals and the corresponding surface‐integrals formulation. To these aims we present several numerical results. Copyright © 2004 John Wiley & Sons, Ltd.