Schwarz waveform relaxation methods for parabolic equations in space-frequency domain

Yao Lin Jiang; Hui Zhang

doi:10.1016/j.camwa.2007.11.025

Schwarz waveform relaxation methods for parabolic equations in space-frequency domain

Yao Lin Jiang, Hui Zhang^*

^*Corresponding author for this work

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Some Schwarz waveform relaxation algorithms based on frequency domain analysis for parabolic equations are proposed and analyzed. In this paper we mainly study an overlapping process with Dirichlet transmission conditions and a non-overlapping process with Robin transmission conditions. The convergence conditions for these algorithms are also obtained by our frequency domain analysis. Numerical experiments are given to illustrate effectiveness of the algorithms.

Original language	English
Pages (from-to)	2924-2939
Number of pages	16
Journal	Computers and Mathematics with Applications
Volume	55
Issue number	12
DOIs	https://doi.org/10.1016/j.camwa.2007.11.025
Publication status	Published - Jun 2008
Externally published	Yes

Keywords

Domain decomposition
Frequency domain analysis
Parabolic equation
Parallel processing
Waveform relaxation

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10.1016/j.camwa.2007.11.025

Cite this

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title = "Schwarz waveform relaxation methods for parabolic equations in space-frequency domain",

abstract = "Some Schwarz waveform relaxation algorithms based on frequency domain analysis for parabolic equations are proposed and analyzed. In this paper we mainly study an overlapping process with Dirichlet transmission conditions and a non-overlapping process with Robin transmission conditions. The convergence conditions for these algorithms are also obtained by our frequency domain analysis. Numerical experiments are given to illustrate effectiveness of the algorithms.",

keywords = "Domain decomposition, Frequency domain analysis, Parabolic equation, Parallel processing, Waveform relaxation",

author = "Jiang, {Yao Lin} and Hui Zhang",

note = "Funding Information: The work was supported by the Natural Science Foundation of China (NSFC) under grants (60472003, 10771168) and by the National Key Basic Research Program of China (973 program) under grant 2005CB321701. ",

year = "2008",

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AU - Jiang, Yao Lin

AU - Zhang, Hui

N1 - Funding Information: The work was supported by the Natural Science Foundation of China (NSFC) under grants (60472003, 10771168) and by the National Key Basic Research Program of China (973 program) under grant 2005CB321701.

PY - 2008/6

Y1 - 2008/6

N2 - Some Schwarz waveform relaxation algorithms based on frequency domain analysis for parabolic equations are proposed and analyzed. In this paper we mainly study an overlapping process with Dirichlet transmission conditions and a non-overlapping process with Robin transmission conditions. The convergence conditions for these algorithms are also obtained by our frequency domain analysis. Numerical experiments are given to illustrate effectiveness of the algorithms.

AB - Some Schwarz waveform relaxation algorithms based on frequency domain analysis for parabolic equations are proposed and analyzed. In this paper we mainly study an overlapping process with Dirichlet transmission conditions and a non-overlapping process with Robin transmission conditions. The convergence conditions for these algorithms are also obtained by our frequency domain analysis. Numerical experiments are given to illustrate effectiveness of the algorithms.

KW - Domain decomposition

KW - Frequency domain analysis

KW - Parabolic equation

KW - Parallel processing

KW - Waveform relaxation

UR - http://www.scopus.com/inward/record.url?scp=42749096121&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2007.11.025

DO - 10.1016/j.camwa.2007.11.025

M3 - Article

AN - SCOPUS:42749096121

SN - 0898-1221

VL - 55

SP - 2924

EP - 2939

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 12

ER -

Schwarz waveform relaxation methods for parabolic equations in space-frequency domain

Abstract

Keywords

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