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• W1485386927 abstract "Finite element approximations of Dirichlet boundary control problems governed by parabolic PDEs on convex polygonal domains are studied in this paper. The existence of a unique solution to optimal control problems is guaranteed based on very weak solution of the state equation andL 2 (0,T;L 2 ()) as control space. For the numerical discretization of the st ate equation we use standard piecewise linear and continuous finite elements for the space discretization of the state, while a dG(0) scheme is used for time discretization. The Dirichlet boundary control is realized through a space-time L 2 -projection. We consider both piecewise linear, continuous finite element approximation and variational discretization for the controls and derive a priori L 2 -error bounds for controls and states. We finally present numerical examples to support our theoretical findings." @default.
• W1485386927 created "2016-06-24" @default.
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• W1485386927 date "2014-10-01" @default.
• W1485386927 modified "2023-09-22" @default.
• W1485386927 title "A FINITE ELEMENT METHOD FOR DIRICHLET BOUNDARY CONTROL PROBLEMS GOVERNED BY PARABOLIC PDES" @default.
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• W1485386927 hasPublicationYear "2014" @default.
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