ANALYSIS AND SEMIDISCRETE GALERKIN APPROXIMATION OF A CLASS OF NONLINEAR PARABOLIC OPTIMAL-CONTROL PROBLEMS

Authors
DEBINSKANAGORSKA A JUST A STEMPIEN Z
Citation
A. Debinskanagorska et al., ANALYSIS AND SEMIDISCRETE GALERKIN APPROXIMATION OF A CLASS OF NONLINEAR PARABOLIC OPTIMAL-CONTROL PROBLEMS, Computers & mathematics with applications, 35(6), 1998, pp. 95-103
Citations number
14
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
35
Issue
6
Year of publication
1998
Pages
95 - 103
Database
ISI
SICI code
0898-1221(1998)35:6<95:AASGAO>2.0.ZU;2-S
Abstract
This paper presents an optimization problem involving a system governe d by a nonlinear partial differential equation with control acting on the domain, in the boundary conditions,or in the initial condition. We describe the Galerkin approximation and prove its convergence to the solutions of the initial optimization problem.