FINITE ELEMENT APPROXIMATION OF THE CAHN-HILLIARD-COOK EQUATION

• 作 者: Stig Larsson
• 机 构: DepartmentofMathematicalSciences,ChalmersUniversityofTechnology
• 出 处: 2012China-Norway-Sweden Workshop on Computational Mathematic
• 发表日期: 2012年5期

　　We study the Cahn-Hilliard-Cook equation,i.e.,the 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.