Abstract
Waveform relaxation techniques have become increasingly important with the wide availability of parallel computers with a large number of processors. A limiting factor for classical waveform relaxation, however, is the convergence speed for an important class of problems, especially if long time windows are considered. In contrast, the optimized waveform relaxation algorithm discussed in this paper is well suited to address this problem. Today several numerical analyses have shown that optimized waveform relaxation algorithms can overcome slow convergence over long time windows. However, the optimized waveform relaxation techniques require the determination of optimized parameters. In this paper, we present a theoretical foundation for the determination of the optimized parameters for an important class of RC circuits. © 2014 Society for Industrial and Applied Mathematics.
Recommended Citation
M. D. Al-Khaleel et al., "Optimization of Transmission Conditions in Waveform Relaxation Techniques for RC Circuits," SIAM Journal on Numerical Analysis, vol. 52, no. 2, pp. 1076 - 1101, Society for Industrial and Applied Mathematics, Jan 2014.
The definitive version is available at https://doi.org/10.1137/110854187
Department(s)
Electrical and Computer Engineering
Publication Status
Full Access
Keywords and Phrases
Circuit simulation; Transmission conditions; Waveform relaxation
International Standard Serial Number (ISSN)
0036-1429
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 Society for Industrial and Applied Mathematics, All rights reserved.
Publication Date
01 Jan 2014
Comments
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Grant 144313