CONVERGENCE OF DISCONTINUOUS GALERKIN APPROXIMATIONS OF AN OPTIMAL CONTROL PROBLEM ASSOCIATED TO SEMILINEAR PARABOLIC PDE'S

CHRYSAFINOS, K

dc.contributor.author	CHRYSAFINOS, K	en
dc.date.accessioned	2014-03-01T01:57:45Z
dc.date.available	2014-03-01T01:57:45Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28515
dc.relation.uri	http://www.math.ntua.gr/~chrysafinos/Ch09.pdf	en
dc.subject	Continuous Optimization	en
dc.subject	discontinuous galerkin	en
dc.subject	Distributed Control	en
dc.subject	Optimal Control Problem	en
dc.subject	discontinuous galerkin finite element method	en
dc.title	CONVERGENCE OF DISCONTINUOUS GALERKIN APPROXIMATIONS OF AN OPTIMAL CONTROL PROBLEM ASSOCIATED TO SEMILINEAR PARABOLIC PDE'S	en
heal.type	journalArticle	en
heal.publicationDate	2009	en
heal.abstract	A discontinuous Galerkin finite element method for an optimal control problem re- lated to semilinear parabolic PDE's is examined. The schemes under consideration are discontinuous in time but conforming in space. Convergence of discrete schemes of arbitrary order is proven. In addition, the convergence of discontinuous Galerkin approximations of the associated optimality sys- tem to the solutions of the continuous	en