ESTIMATION OF THE CONVECTION COEFFICIENT IN ELLIPTIC-EQUATIONS

Authors
ITO K KUNISCH K
Citation
K. Ito et K. Kunisch, ESTIMATION OF THE CONVECTION COEFFICIENT IN ELLIPTIC-EQUATIONS, Inverse problems, 13(4), 1997, pp. 995-1013
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
13
Issue
4
Year of publication
1997
Pages
995 - 1013
Database
ISI
SICI code
0266-5611(1997)13:4<995:EOTCCI>2.0.ZU;2-H
Abstract
The parameter estimation problem for the convection coefficient in ell iptic equations is considered in the class of L-n(2)-vector fields. Th e optimality system is characterized and the convergence of the gradie nt method is proved. To apply the SQP-method to the singular optimalit y system, a modification involving a feasibility step in the primal an d dual variables is introduced. The resulting algorithm has a second-o rder convergence rate. Numerical experiments are included.