P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions

We investigate two P1finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions on general polygonal domains.

Bibliographic Details
Main Authors:	S.C. Brenner, M. Oh, L.-Y. Sung
Format:	Article
Language:	English
Published:	Elsevier 2020-11-01
Series:	Results in Applied Mathematics
Subjects:	Elliptic distributed optimal control problems Pointwise state constraints Variational inequalities Nonconvex domains P1finite element methods
Online Access:	http://www.sciencedirect.com/science/article/pii/S2590037419300901

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record_format	Article
spelling	doaj-4624bcb7e35643cb8c3075bb0ccece862020-11-25T03:00:22ZengElsevierResults in Applied Mathematics2590-03742020-11-018100090P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditionsS.C. Brenner0M. Oh1L.-Y. Sung2Department of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, United States of America; Corresponding author.Department of Mathematics and Statistics, James Madison University, Harrisonburg, VA 22807, United States of AmericaDepartment of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, United States of AmericaWe investigate two P1finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions on general polygonal domains.http://www.sciencedirect.com/science/article/pii/S2590037419300901Elliptic distributed optimal control problemsPointwise state constraintsVariational inequalitiesNonconvex domainsP1finite element methods
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	S.C. Brenner M. Oh L.-Y. Sung
spellingShingle	S.C. Brenner M. Oh L.-Y. Sung P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions Results in Applied Mathematics Elliptic distributed optimal control problems Pointwise state constraints Variational inequalities Nonconvex domains P1finite element methods
author_facet	S.C. Brenner M. Oh L.-Y. Sung
author_sort	S.C. Brenner
title	P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions
title_short	P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions
title_full	P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions
title_fullStr	P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions
title_full_unstemmed	P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions
title_sort	p1 finite element methods for an elliptic state-constrained distributed optimal control problem with neumann boundary conditions
publisher	Elsevier
series	Results in Applied Mathematics
issn	2590-0374
publishDate	2020-11-01
description	We investigate two P1finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions on general polygonal domains.
topic	Elliptic distributed optimal control problems Pointwise state constraints Variational inequalities Nonconvex domains P1finite element methods
url	http://www.sciencedirect.com/science/article/pii/S2590037419300901
work_keys_str_mv	AT scbrenner p1finiteelementmethodsforanellipticstateconstraineddistributedoptimalcontrolproblemwithneumannboundaryconditions AT moh p1finiteelementmethodsforanellipticstateconstraineddistributedoptimalcontrolproblemwithneumannboundaryconditions AT lysung p1finiteelementmethodsforanellipticstateconstraineddistributedoptimalcontrolproblemwithneumannboundaryconditions
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P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions

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