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

John Pearson; Jacek Gondzio

doi:10.1002/pamm.201610357

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

John Pearson, Jacek Gondzio

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract / Description of output

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 language	English
Title of host publication	Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung
Editors	V. Bach, H. Fassbender
Publisher	Wiley-VCH
Pages	737-738
Number of pages	2
Volume	16
ISBN (Electronic)	9780470611302
ISBN (Print)	9781848210424
DOIs	https://doi.org/10.1002/pamm.201610357
Publication status	Published - 25 Oct 2016

Access to Document

10.1002/pamm.201610357

PAMM2016_IPMsAccepted author manuscript, 209 KB

Cite this

Pearson, J., & Gondzio, J. (2016). Fast interior point solvers for H¹-regularized PDE-constrained optimization problems. In V. Bach, & H. Fassbender (Eds.), Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (Vol. 16, pp. 737-738). Wiley-VCH. https://doi.org/10.1002/pamm.201610357

@inproceedings{208e4d657bee47f6a81c516050a88982,

title = "Fast interior point solvers for H1-regularized PDE-constrained optimization problems",

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.",

author = "John Pearson and Jacek Gondzio",

year = "2016",

month = oct,

day = "25",

doi = "10.1002/pamm.201610357",

language = "English",

isbn = "9781848210424",

volume = "16",

pages = "737--738",

editor = "V. Bach and H. Fassbender",

booktitle = "Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung",

publisher = "Wiley-VCH",

}

Fast interior point solvers for H¹-regularized PDE-constrained optimization problems. / Pearson, John ; Gondzio, Jacek.
Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung. ed. / V. Bach; H. Fassbender. Vol. 16 Wiley-VCH, 2016. p. 737-738.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Fast interior point solvers for H1-regularized PDE-constrained optimization problems

AU - Pearson, John

AU - Gondzio, Jacek

PY - 2016/10/25

Y1 - 2016/10/25

N2 - 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.

AB - 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.

U2 - 10.1002/pamm.201610357

DO - 10.1002/pamm.201610357

M3 - Conference contribution

SN - 9781848210424

VL - 16

SP - 737

EP - 738

BT - Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung

A2 - Bach, V.

A2 - Fassbender, H.

PB - Wiley-VCH

ER -

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

Abstract / Description of output

Access to Document

Fingerprint

Cite this

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