Symmetric error estimates for discontinuous galerkin approximations for an optimal control problem associated to semilinear parabolic pde's

Chrysafinos, K; Karatzas, EN

dc.contributor.author	Chrysafinos, K	en
dc.contributor.author	Karatzas, EN	en
dc.date.accessioned	2014-03-01T02:14:46Z
dc.date.available	2014-03-01T02:14:46Z
dc.date.issued	2012	en
dc.identifier.issn	15313492	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30105
dc.subject	Discontinuous Galerkin	en
dc.subject	Distributed control	en
dc.subject	Semi-linear parabolic PDE's	en
dc.subject	Symmetric error estimates	en
dc.title	Symmetric error estimates for discontinuous galerkin approximations for an optimal control problem associated to semilinear parabolic pde's	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/dcdsb.2012.17.1473	en
heal.identifier.secondary	http://dx.doi.org/10.3934/dcdsb.2012.17.1473	en
heal.publicationDate	2012	en
heal.abstract	A discontinuous Galerkin fignite element method for an optimal control problem having states constrained to semilinear parabolic PDE's is examined. The schemes under consideration are discontinuous in time but conforming in space. It is shown that under suitable assumptions, the error estimates of the corresponding optimality system are of the same order to the standard linear (uncontrolled) parabolic problem. These estimates have symmetric structure and are also applicable for higher order elements.	en
heal.journalName	Discrete and Continuous Dynamical Systems - Series B	en
dc.identifier.doi	10.3934/dcdsb.2012.17.1473	en
dc.identifier.volume	17	en
dc.identifier.issue	5	en
dc.identifier.spage	1473	en
dc.identifier.epage	1506	en