Fast interior point solvers for H1-regularized PDE-constrained optimization problems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider Newton systems arising from the interior point solution of PDE-constrained optimization problems. In particular, we examine problems where the control variable is regularized by an H1-norm within the cost functional. We present preconditioned iterative methods for the resulting matrix systems, and justify the potency of our approach through numerical experiments.
Original languageEnglish
Title of host publicationJoint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung
EditorsV. Bach, H. Fassbender
PublisherWiley-VCH
Pages737-738
Number of pages2
Volume16
ISBN (Electronic)9780470611302
ISBN (Print)9781848210424
DOIs
Publication statusPublished - 25 Oct 2016

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