A MULTIRESOLUTION METHOD FOR DISTRIBUTED PARAMETER-ESTIMATION

作     者：LIU, J 

作者机构：INST NATL RECH INFORMAT & AUTOMATF-78153 LE CHESNAYFRANCE 

出 版 物：《SIAM JOURNAL ON SCIENTIFIC COMPUTING》 (工业与应用数学会科学计算杂志)

年 卷 期：1993年第14卷第2期

页      面：389-405页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：IDENTIFICATION DISTRIBUTED PARAMETER MULTIRESOLUTION HAAR BASIS BFGS OPTIMIZATION 

摘      要：A multiresolution method for distributed parameter estimation (or inverse problems) is studied numerically. The identification of the coefficient of an elliptic equation in one dimension is considered as our model problem. First, multiscale bases are used to analyze the degree of ill-posedness of the inverse problem. Second, based on some numerical results, it is shown that the method of scale-by-scale multiresolution yields robust and fast convergence. Finally, it is shown how the method gives a natural regularization approach which is complementary to Tikhonov s regularization.