Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits

Gander, Martin J.; Kumbhar, Pratik M.; Ruehli, Albert E.

doi:10.1007/s10915-020-01270-5

J Sci Comput

2020

DOI: 10.1007/s10915-020-01270-5

|View full text |Cite

Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits

Martin J. Gander

Pratik M. Kumbhar

Albert E. Ruehli

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2024

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain

Haynes¹,

Mohammad²

2023

ESAIM: M2AN

View full text Add to dashboard Cite

Schwarz waveform relaxation methods provide space-time parallelism for the solution of time dependent partial differential equations. The algorithms are differentiated by the choice of the transmission conditions enforced at the introduced space-time boundaries. Early results considered the theoretical analysis of these algorithms in the continuous and semi-discrete (in space) settings for various families of linear partial differential equations. Later, fully discrete results were obtained under the simplifying assumption of an infinite spatial domain. In this paper, we provide a first analysis of a fully discrete classical Schwarz Waveform algorithm for the one–dimensional heat equation on an arbitrary but finite number of bounded subdomains. The θ –method is chosen as the time integrator. Convergence results are given in both the infinity norm and two norm, with an explicit contraction given in the case of a uniform partitioning. The results are compared to the numerics and to the earlier theoretical results.

show abstract

Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain

Haynes¹,

Mohammad²

2023

ESAIM: M2AN

View full text Add to dashboard Cite

show abstract

Using Strictly Dissipative Impedance Coupling in the Waveform Relaxation Method for the Analysis of Interconnect Circuits

Menkad

Dounavis

2021

IEEE Trans. Circuits Syst. I

View full text Add to dashboard Cite

Convergence of the Resistive Coupling-Based Waveform Relaxation Method for Chains of Identical and Symmetric Circuits

Menkad

Dounavis

2021

IEEE Trans. Circuits Syst. I

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits

Cited by 4 publications

References 39 publications

Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain

Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain

Using Strictly Dissipative Impedance Coupling in the Waveform Relaxation Method for the Analysis of Interconnect Circuits

Convergence of the Resistive Coupling-Based Waveform Relaxation Method for Chains of Identical and Symmetric Circuits

Contact Info

Product

Resources

About