Preprint No. MPIMD/12-06
Author(s): Tyrone Rees, Martin Stoll
Email: martin.stoll80@gmail.com
Date: 2012-03-07
Abstract:
In this paper we consider a PDE-constrained optimization problem where an H1 regularization control term is introduced. We address both time-independent and time-dependent versions. We introduce bound constraints on the state, and show how these can be handled by a Moreau-Yosida penalty function. We propose Krylov solvers and preconditioners for the different problems and illustrate their performance with numerical examples.
BibTeX:
@TECHREPORT{MPIMD12-06,
author = {Tyrone Rees and Martin Stoll},
title = {A fast solver for an H1 regularized PDE-constrained optimization problem},
number = {MPIMD/12-06},
month = mar,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}