A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints

Abstract: We construct a symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints on general polygonal domains. The resulting discrete problems are quadratic programs with simple box constraints that can be solved efficiently by a primal-dual active set algorithm. Both theoretical analysis and corroborating numerical results are presented.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints ; volume:23 ; number:3 ; year:2023 ; pages:565-589 ; extent:25
Computational methods in applied mathematics ; 23, Heft 3 (2023), 565-589 (gesamt 25)

Creator
Brenner, Susanne C.
Gedicke, Joscha
Sung, Li-Yeng

DOI
10.1515/cmam-2022-0148
URN
urn:nbn:de:101:1-2023070514132428985139
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:56 AM CEST

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