An efficient explicit/Implicit domain decomposition method for convection-diffusion equations

Liyong Zhu; Guangwei Yuan; Qiang Du

doi:10.1002/num.20461

An efficient explicit/Implicit domain decomposition method for convection-diffusion equations

Liyong Zhu^*
, Guangwei Yuan
, Qiang Du

^*Corresponding author for this work

IAPCM
Pennsylvania State University

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

14 Scopus citations

Abstract

A nonoverlapping domain decomposition method for some time-dependent convection-diffusion equations is presented. It combines predictor-corrector technique, modified upwind differences with explicit/implicit coupling to provide intrinsic parallelism, and unconditional stability while improving the accuracy. Both rigorous mathematical analysis and numerical experiments are carried out to illustrate the stability, accuracy, and parallelism.

Original language	English
Pages (from-to)	852-873
Number of pages	22
Journal	Numerical Methods for Partial Differential Equations
Volume	26
Issue number	4
DOIs	https://doi.org/10.1002/num.20461
State	Published - Jul 2010
Externally published	Yes

Keywords

Convergence analysis
Domain decomposition
Explicit-implicit scheme
Modified upwind differences
Parallel algorithm
Predictor-corrector

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10.1002/num.20461

Cite this

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title = "An efficient explicit/Implicit domain decomposition method for convection-diffusion equations",

abstract = "A nonoverlapping domain decomposition method for some time-dependent convection-diffusion equations is presented. It combines predictor-corrector technique, modified upwind differences with explicit/implicit coupling to provide intrinsic parallelism, and unconditional stability while improving the accuracy. Both rigorous mathematical analysis and numerical experiments are carried out to illustrate the stability, accuracy, and parallelism.",

keywords = "Convergence analysis, Domain decomposition, Explicit-implicit scheme, Modified upwind differences, Parallel algorithm, Predictor-corrector",

author = "Liyong Zhu and Guangwei Yuan and Qiang Du",

year = "2010",

month = jul,

doi = "10.1002/num.20461",

language = "英语",

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journal = "Numerical Methods for Partial Differential Equations",

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publisher = "John Wiley \& Sons Inc.",

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T1 - An efficient explicit/Implicit domain decomposition method for convection-diffusion equations

AU - Zhu, Liyong

AU - Yuan, Guangwei

AU - Du, Qiang

PY - 2010/7

Y1 - 2010/7

N2 - A nonoverlapping domain decomposition method for some time-dependent convection-diffusion equations is presented. It combines predictor-corrector technique, modified upwind differences with explicit/implicit coupling to provide intrinsic parallelism, and unconditional stability while improving the accuracy. Both rigorous mathematical analysis and numerical experiments are carried out to illustrate the stability, accuracy, and parallelism.

AB - A nonoverlapping domain decomposition method for some time-dependent convection-diffusion equations is presented. It combines predictor-corrector technique, modified upwind differences with explicit/implicit coupling to provide intrinsic parallelism, and unconditional stability while improving the accuracy. Both rigorous mathematical analysis and numerical experiments are carried out to illustrate the stability, accuracy, and parallelism.

KW - Convergence analysis

KW - Domain decomposition

KW - Explicit-implicit scheme

KW - Modified upwind differences

KW - Parallel algorithm

KW - Predictor-corrector

UR - https://www.scopus.com/pages/publications/77952892395

U2 - 10.1002/num.20461

DO - 10.1002/num.20461

M3 - 文章

AN - SCOPUS:77952892395

SN - 0749-159X

VL - 26

SP - 852

EP - 873

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 4

ER -

An efficient explicit/Implicit domain decomposition method for convection-diffusion equations

Abstract

Keywords

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