ESTIMATION OF A TEMPORALLY AND SPATIALLY VARYING DIFFUSION-COEFFICIENT IN A PARABOLIC-SYSTEM BY AN AUGMENTED LAGRANGIAN TECHNIQUE

被引：22

作者：

KUNISCH, K

PEICHL, G

机构：

[1] Institut für Mathematik, Technische Universität, Graz, A-8010

[2] Institut für Mathematik, Karl-Franzens-Universität Graz, Graz, A-8010

来源：

NUMERISCHE MATHEMATIK | 1991年 / 59卷 / 05期

关键词：

D O I：

10.1007/BF01385792

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we apply a hybrid method to estimate a temporally and spatially varying diffusion coefficient in a parabolic system. This technique combines the output-least-squares- and the equation error method. The resulting optimization problem is solved by an augmented Lagrangian approach and convergence as well as rate of convergence proofs are provided. The stability of the estimated coefficient with respect to perturbations in the observation is guaranteed.

引用

页码：473 / 509

页数：37

共 22 条

[1]

Adams RA., 2003, PURE APPL MATH SOB O, V2

[2]

Alt H W, 1984, INT SER NUMER MATH, V68, P11

[3]

Alt W., 1983, LECT NOTES PURE APPL, V85, P7

[4]

[Anonymous], 1971, OPTIMAL CONTROL SYST