Analysis of overlap in Waveform Relaxation Methods for Rc Circuits
Abstract
Waveform relaxation (WR) methods are based on partitioning large circuits into sub-circuits which can be solved separately, and an iteration using transmission conditions then leads to better and better approximations of the entire circuit. Optimized waveform relaxation (OWR) methods work similarly, but they use more effective transmission conditions between sub-circuits. We study here for the first time the influence of overlap on WR and OWR applied to RC circuits. We derive an optimization problem which characterizes the best choice of certain resistance parameters in the transmission conditions for convergence, and give an asymptotic solution of this optimization problem. We also illustrate our results with numerical experiments.
Recommended Citation
M. J. Gander et al., "Analysis of overlap in Waveform Relaxation Methods for Rc Circuits," Lecture Notes in Computational Science and Engineering, vol. 125, pp. 281 - 289, Springer, Jan 2018.
The definitive version is available at https://doi.org/10.1007/978-3-319-93873-8_26
Department(s)
Electrical and Computer Engineering
International Standard Serial Number (ISSN)
1439-7358
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Springer, All rights reserved.
Publication Date
01 Jan 2018