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

Pearson, John W and Gondzio, Jacek (2016) Fast interior point solvers for H1-regularized PDE-constrained optimization problems. In: Proceedings in Applied Mathematics and Mechanics. Proceedings in Applied Mathematics and Mechanics. Wiley pp. 737-738. (doi:https://doi.org/10.1002/pamm.201610357) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1002/pamm.201610357

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.

Item Type: Conference or workshop item (Paper)
Subjects: Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: John Pearson
Date Deposited: 02 Jun 2016 10:29 UTC
Last Modified: 02 Jun 2017 11:28 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/55763 (The current URI for this page, for reference purposes)
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