Applying Padé via Lanczos to the finite element method for electromagnetic radiation problems
- 1 March 2000
- journal article
- Published by American Geophysical Union (AGU) in Radio Science
- Vol. 35 (2) , 331-340
- https://doi.org/10.1029/1999rs002258
Abstract
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.Keywords
This publication has 12 references indexed in Scilit:
- Efficient linear circuit analysis by Pade approximation via the Lanczos processIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1995
- Analysis of interconnect networks using complex frequency hopping (CFH)IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1995
- Pole-zero computation in microwave circuits using multipoint Pade approximationIEEE Transactions on Circuits and Systems I: Regular Papers, 1995
- Asymptotic waveform evaluation via a Lanczos methodApplied Mathematics Letters, 1994
- Asymptotic Waveform EvaluationPublished by Springer Nature ,1994
- Analysis of high-speed VLSI interconnects using the asymptotic waveform evaluation techniqueIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1992
- Interconnect simulation with asymptotic waveform evaluation (AWE)IEEE Transactions on Circuits and Systems I: Regular Papers, 1992
- Asymptotic waveform evaluation for timing analysisIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1990
- Radiation boundary conditions for wave‐like equationsCommunications on Pure and Applied Mathematics, 1980
- Equivalent Circuit Models for Three-Dimensional Multiconductor SystemsIEEE Transactions on Microwave Theory and Techniques, 1974