A Reduced Basis Approach for Some Weakly Stochastic Multiscale Problems

作     者：Claude LE BRIS Florian THOMINES 

作者机构：CERMICSEcole Nationale des Ponts et Chaussees6 et 8 Avenue Blaise PascalCite DescartesChamps-sur-Marne77455 Marne-La-Vallée Cedex 2France INRIA RocquencourtMICMAC teamprojectDomaine de VoluceauBP10578153 Le Chesnay CedexFrance. INRIA RocquencourtMICMAC team-projectDomaine de VoluceauBP10578153 Le Chesnay CedexFrance Laboratoire NavierEcole Nationale des Ponts et Chaussees6 et 8 Avenue Blaise PascalCite DescartesChamps-Sur-Marne77455 Marne-La-Vallée Cedex 2France. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2012年第33卷第5期

页      面：657-672页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 

基　　金：Project supported by EOARD(European Office of Aerospace Research and Development) (No.FA865510-C-4002) 

主　　题：Reduced basis Stochastic homogenization Perturbation approach 

摘      要：In this paper,a multiscale problem arising in material science is *** problem involves a random coefficient which is assumed to be a perturbation of a deterministic coefficient,in a sense made precisely in the body of the *** homogenized limit is then computed by using a perturbation *** computation requires repeatedly solving a corrector-like equation for various configurations of the *** this purpose,the reduced basis approach is employed and adapted to the specific *** authors perform numerical tests that demonstrate the efficiency of the approach.