Convergence of a stochastic method for the modeling of polymeric fluids

E. Weinan; Tie Jun Li; Ping Wen Zhang

doi:10.1007/s102550200055

Convergence of a stochastic method for the modeling of polymeric fluids

E. Weinan, Tie Jun Li, Ping Wen Zhang

Mathematics

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

16 Scopus citations

Abstract

We present a convergence analysis of a stochastic method for numerical modeling of complex fluids using Brownian configuration fields (BCF) for shear flows. The analysis takes into account the special structure of the stochastic partial differential equations for shear flows. We establish the optimal rate of convergence. We also analyze the nature of the error by providing its leading order asymptotics.

Original language	English (US)
Pages (from-to)	529-536
Number of pages	8
Journal	Acta Mathematicae Applicatae Sinica
Volume	18
Issue number	4
DOIs	https://doi.org/10.1007/s102550200055
State	Published - 2002

All Science Journal Classification (ASJC) codes

Applied Mathematics

Keywords

Brownian Configuration Fields (BCF)
Convergence analysis
Dumbbell model

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10.1007/s102550200055

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title = "Convergence of a stochastic method for the modeling of polymeric fluids",

abstract = "We present a convergence analysis of a stochastic method for numerical modeling of complex fluids using Brownian configuration fields (BCF) for shear flows. The analysis takes into account the special structure of the stochastic partial differential equations for shear flows. We establish the optimal rate of convergence. We also analyze the nature of the error by providing its leading order asymptotics.",

keywords = "Brownian Configuration Fields (BCF), Convergence analysis, Dumbbell model",

author = "E. Weinan and Li, {Tie Jun} and Zhang, {Ping Wen}",

note = "Funding Information: Manuscript received September 25, 2002. Revised October 14, 2002. 1Partially supported by US ONR grant (No. N00014-01-1-0674). 3Partially supported by the Chinese Special Funds for Major State Research Projects (No. Teaching and Research Award for outstanding young teachers from the Chinese MOE.",

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T1 - Convergence of a stochastic method for the modeling of polymeric fluids

AU - Weinan, E.

AU - Li, Tie Jun

AU - Zhang, Ping Wen

N1 - Funding Information: Manuscript received September 25, 2002. Revised October 14, 2002. 1Partially supported by US ONR grant (No. N00014-01-1-0674). 3Partially supported by the Chinese Special Funds for Major State Research Projects (No. Teaching and Research Award for outstanding young teachers from the Chinese MOE.

PY - 2002

Y1 - 2002

N2 - We present a convergence analysis of a stochastic method for numerical modeling of complex fluids using Brownian configuration fields (BCF) for shear flows. The analysis takes into account the special structure of the stochastic partial differential equations for shear flows. We establish the optimal rate of convergence. We also analyze the nature of the error by providing its leading order asymptotics.

AB - We present a convergence analysis of a stochastic method for numerical modeling of complex fluids using Brownian configuration fields (BCF) for shear flows. The analysis takes into account the special structure of the stochastic partial differential equations for shear flows. We establish the optimal rate of convergence. We also analyze the nature of the error by providing its leading order asymptotics.

KW - Brownian Configuration Fields (BCF)

KW - Convergence analysis

KW - Dumbbell model

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JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 4

ER -

Convergence of a stochastic method for the modeling of polymeric fluids

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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