Analysis and finite element approximations for distributed optimal control problems for implicit parabolic equations

Chrysafinos, K

dc.contributor.author	Chrysafinos, K	en
dc.date.accessioned	2014-03-01T01:29:51Z
dc.date.available	2014-03-01T01:29:51Z
dc.date.issued	2009	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19372
dc.subject	Convection-diffusion equations	en
dc.subject	Distributed optimal control	en
dc.subject	Error estimates	en
dc.subject	Finite element methods	en
dc.subject	Implicit parabolic equations	en
dc.subject	Lagrangian coordinates	en
dc.subject	Moving meshes	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Convection-diffusion equations	en
dc.subject.other	Distributed optimal control	en
dc.subject.other	Error estimates	en
dc.subject.other	Implicit parabolic equations	en
dc.subject.other	Lagrangian coordinates	en
dc.subject.other	Moving meshes	en
dc.subject.other	Diffusion in liquids	en
dc.subject.other	Error analysis	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Heat convection	en
dc.subject.other	Lagrange multipliers	en
dc.subject.other	Optimization	en
dc.subject.other	Finite element method	en
dc.title	Analysis and finite element approximations for distributed optimal control problems for implicit parabolic equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cam.2009.02.092	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cam.2009.02.092	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	This work concerns analysis and error estimates for optimal control problems related to implicit parabolic equations. The minimization of the tracking functional subject to implicit parabolic equations is examined. Existence of an optimal solution is proved and an optimality system of equations is derived. Semi-discrete (in space) error estimates for the finite element approximations of the optimality system are presented. These estimates are symmetric and applicable for higher-order discretizations. Finally, fully-discrete error estimates of arbitrarily high-order are presented based on a discontinuous Galerkin (in time) and conforming (in space) scheme. Two examples related to the Lagrangian moving mesh Galerkin formulation for the convection-diffusion equation are described. (C) 2009 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Computational and Applied Mathematics	en
dc.identifier.doi	10.1016/j.cam.2009.02.092	en
dc.identifier.isi	ISI:000267393700030	en
dc.identifier.volume	231	en
dc.identifier.issue	1	en
dc.identifier.spage	327	en
dc.identifier.epage	348	en