Title
Error bounds for a Dirichlet boundary control problem based on energy spaces.
Abstract
In this article, an alternative energy-space based approach is proposed for the Dirichlet boundary control problem and then a finite-element based numerical method is designed and analyzed for its numerical approximation. A priori error estimates of optimal order in the energy norm and the L-2-norm are derived. Moreover, a reliable and efficient a posteriori error estimator is derived with the help of an auxiliary problem. The theoretical results are illustrated by the numerical experiments.
Year
DOI
Venue
2017
10.1090/mcom/3125
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
Optimal control,Dirichlet control,finite element,optimal error estimate,adaptive finite element,a posteriori estimates
Mathematical optimization,Optimal control,Mathematical analysis,A priori and a posteriori,Finite element method,Dirichlet distribution,Numerical approximation,Numerical analysis,Mathematics,Estimator
Journal
Volume
Issue
ISSN
86
305
0025-5718
Citations 
PageRank 
References 
3
0.41
13
Authors
3
Name
Order
Citations
PageRank
Sudipto Chowdhury130.75
Thirupathi Gudi213514.43
A.K. Nandakumaran3102.70