A NUMERICAL STUDY OF AN AUGMENTED LAGRANGIAN METHOD FOR THE ESTIMATION OF PARAMETERS IN ELLIPTIC-SYSTEMS

被引：17

作者：

ITO, K

KROLLER, M

KUNISCH, K

机构：

[1] GRAZ UNIV,INST MATH,A-8010 GRAZ,AUSTRIA

[2] GRAZ TECH UNIV,INST MATH,A-8010 GRAZ,AUSTRIA

来源：

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING | 1991年 / 12卷 / 04期

关键词：

AUGMENTED LAGRANGIAN METHOD; INVERSE PROBLEMS IN ELLIPTIC EQUATIONS; NUMERICAL STUDIES; IDENTIFICATION;

D O I：

10.1137/0912048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method based on an augmented Lagrangian formulation is developed which allows coefficients in an elliptic differential equation to be estimated from measurements of the state. This is a hybrid method combining the output-least-squares and the equation-error technique. Seminorm regularization is employed, and convergence and stability properties are discussed. Several aspects of an efficient implementation are described. Finally, the effectiveness of the method is demonstrated by means of one- and two-dimensional examples.

引用

页码：884 / 910

页数：27

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