Degree Type

Dissertation

Date of Award

2002

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

M. D. Gunzburger

Second Advisor

L. S. Hou

Abstract

We present some results concerning boundary optimal control problems and related initial-boundary value problems. We prove the existence and uniqueness of the solution of a parabolic saddle point problem, as well as the existence and uniqueness of a penalized and an iterated penalized saddle point problem. Moreover, we derive semidiscrete error estimates for the finite element approximation of the penalized saddle point problem, and semidiscrete error estimates for the penalized and unpenalized heat equation with nonhomogeneous boundary data under minimal regularity assumptions. Finally, we use the above results for the analysis and finite element analysis of boundary optimal control problems having states constrained to parabolic partial differential equations.

DOI

https://doi.org/10.31274/rtd-180813-10991

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu

Copyright Owner

Konstantinos Chrysafinos

Language

en

Proquest ID

AAI3051456

File Format

application/pdf

File Size

80 pages

Included in

Mathematics Commons

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