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Applying Padé via Lanczos to the finite element method for electromagnetic radiation problems
Author(s) -
Slone Rodney Daryl,
Lee Robert
Publication year - 2000
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/1999rs002258
Subject(s) - lanczos resampling , finite element method , computation , impulse (physics) , computer science , wideband , model order reduction , frequency domain , algorithm , mathematics , electronic engineering , mathematical analysis , physics , eigenvalues and eigenvectors , engineering , projection (relational algebra) , quantum mechanics , thermodynamics
Recently there has been a great deal of interest in using the Padé via Lanczos (PVL) technique to analyze the transfer functions and impulse responses of large‐scale linear circuits. In this paper, matrix‐Padé via Lanczos (MPVL), which can be used on multiple‐input multiple‐output systems, is applied to solve models resulting from applying the finite element method (FEM) to electromagnetic wave propagation problems in the frequency domain. The resulting solution procedure of using MPVL to solve FEM equations allows for wideband frequency simulations with a reduction in total computation time. Several issues arise during this application, and each is addressed in detail. Numerical simulations using this method are shown along with traditional methods using an LU decomposition at each frequency point of interest. Comparisons in accuracy as well as computation time are also given.