Acta Mathematicae Applicatae Sinica

, Volume 18, Issue 4, pp 529–536 | Cite as

Convergence of a Stochastic Method for the Modeling of Polymeric Fluids

Original Papers

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 

2000 MR Subject Classification

74S99 60H35 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  1. 1.Department of Mathematics and PACMPrinceton UniversityPrinceton, NJUSA
  2. 2.Key Laboratory of Pure and Applied Mathematics, School of Mathematical SciencesPeking UniversityBeijingChina

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