WEAK-TAU APPROXIMATIONS FOR DISTRIBUTED PARAMETER-SYSTEMS IN INVERSE PROBLEMS

被引:3
作者
BANKS, HT
WADE, JG
机构
[1] UNIV SO CALIF,CTR APPL MATH SCI,LOS ANGELES,CA 90089
[2] NASA,LANGLEY RES CTR,ICASE,HAMPTON,VA 23665
关键词
D O I
10.1080/01630569108816418
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A theoretical framework for proposed ''weak Tau'' type of approximation schemes is considered in the context of least-squares parameter estimation problems for partial differential equations. A convergence theory which includes parameter estimate convergence and method stability is developed. Numerical results demonstrating the possible advantages of these ideas are also presented.
引用
收藏
页码:1 / 31
页数:31
相关论文
共 24 条
[1]  
Abramowitz M.., 1972, HDB MATH FUNCTIONS
[2]  
Adams RA., 2003, PURE APPL MATH SOB O, V2
[3]  
[Anonymous], 1987, PARTIAL DIFFERENTIAL
[4]  
[Anonymous], 2004, DYNAMICS STRUCTURES
[5]  
Babuska I., 1972, MATH FDN FINITE ELEM, P5, DOI [10.1016/C2013-0-10319-4, DOI 10.1016/C2013-0-10319-4]
[6]  
BANKS H., 1989, ESTIMATION TECHNIQUE
[7]  
BANKS HT, 1986, MAT APL COMPUT, V5, P139
[8]  
BANKS HT, 1988, CONTR-THEOR ADV TECH, V4, P73
[9]  
BANKS HT, 1989, LECT NOTES CONTR INF, V114, P3
[10]  
BANKS HT, 1989, 28TH P IEEE C DEC CO, P596