Discontinuous galerkin approximations for distributed optimal control problems constrained by parabolic PDE's

Chrysafinos, K

dc.contributor.author	Chrysafinos, K	en
dc.date.accessioned	2014-03-01T01:56:18Z
dc.date.available	2014-03-01T01:56:18Z
dc.date.issued	2007	en
dc.identifier.issn	17055105	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28045
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-50049113911&partnerID=40&md5=e860c1cd2f7b935d32bbb13eae866b5a	en
dc.subject	Convection dominated	en
dc.subject	Convection-diffusion equations	en
dc.subject	Discontinuous Galerkin	en
dc.subject	Distributed control	en
dc.subject	Error estimates	en
dc.subject	Optimal control	en
dc.subject	Parabolic PDE's	en
dc.title	Discontinuous galerkin approximations for distributed optimal control problems constrained by parabolic PDE's	en
heal.type	journalArticle	en
heal.publicationDate	2007	en
heal.abstract	A discontinuous Galerkin finite element method for optimal control problems having states constrained by linear parabolic PDE's is examined. The spacial operator may depend on time and need not be self-adjoint. The schemes considered here are discontinuous in time but conforming in space. Fully-discrete error estimates of arbitrary order are presented and various constants are tracked. In particular, the estimates are valid for small values of α, γ, where α denotes the penalty parameter of the cost functional and γ the coercivity constant. Finally, error estimates for the convection dominated convection-diffusion equation are presented, based on a Lagrangian moving mesh approach. © 2007 Institute for Scientific Computing and Information.	en
heal.journalName	International Journal of Numerical Analysis and Modeling	en
dc.identifier.volume	4	en
dc.identifier.issue	3-4	en
dc.identifier.spage	690	en
dc.identifier.epage	712	en