FINITE ELEMENT APPROXIMATION OF THE CAHN-HILLIARD-COOK EQUATION

被引：39
|
作者：
Kovacs, Mihaly [1 ]
Larsson, Stig [2 ,3 ]
Mesforush, Ali [4 ]
机构：
[1] Univ Otago, Dept Math & Stat, Dunedin, New Zealand
[2] Chalmers, Dept Math Sci, SE-41296 Gothenburg, Sweden
[3] Univ Gothenburg, SE-41296 Gothenburg, Sweden
[4] Shahrood Univ Technol, Sch Math Sci, Shahrood, Iran
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2011年 / 49卷 / 06期
基金：
瑞典研究理事会;
关键词：
Cahn-Hilliard-Cook equation; additive noise; Wiener process; existence; regularity; finite element; error estimate; strong convergence; SPINODAL DECOMPOSITION;
D O I：
10.1137/110828150
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the nonlinear stochastic Cahn-Hilliard equation perturbed by additive colored noise. We show almost sure existence and regularity of solutions. We introduce spatial approximation by a standard finite element method and prove error estimates of optimal order on sets of probability arbitrarily close to 1. We also prove strong convergence without known rate.
引用
收藏
页码：2407 / 2429
页数：23
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