Convergence of a stochastic method for the modeling of polymeric fluids

E. Weinan, Tie Jun Li, Ping Wen Zhang

Research output: Contribution to journalArticle

15 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 languageEnglish (US)
Pages (from-to)529-536
Number of pages8
JournalActa Mathematicae Applicatae Sinica
Volume18
Issue number4
DOIs
StatePublished - Jan 1 2002

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Keywords

  • Brownian Configuration Fields (BCF)
  • Convergence analysis
  • Dumbbell model

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