| Convergence of a Stochastic Method for the Modeling of Polymeric Fluids |
| |
| 作者姓名： | Weinan E |
| |
| 作者单位： | Department of |
| |
| 基金项目： | US ONR grant (No. N00014-01-1-0674)，the Chinese Special Funds for Major State Research Projects (No.G1999032804), the Teaching and Research Award for outstanding young teachers from the Chinese MOE. |
| |
| 摘 要： | 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.
|
Convergence of a Stochastic Method for the Modeling of Polymeric Fluids |
| |
| Weinan E.Convergence of a Stochastic Method for the Modeling of Polymeric Fluids[J].Acta Mathematicae Applicatae Sinica,2002,18(4):529-536. |
| |
| Authors: | Weinan E Tie-jun Li Ping-wen Zhang |
| |
| Institution: | (1) Department of Mathematics and PACM, Princeton University, Princeton, NJ 08544, USA (E-mail: weinan@princeton.edu), US;(2) Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China (E-mail: tieli@pku.edu.cn, pzhang@pku.edu.cn), CN |
| |
| 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 |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
