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A priori estimates for optimal Dirichlet boundary control problems by Klaus Deckelnick; Andreas Günther; Michael Hinze is a Engineering article available to read on EtoBox.

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## Abstract We consider variational discretization of control constrained elliptic Dirichlet boundary control problems on smooth twoand three‐dimensional domains, where we take into account the domain approximation. The state is discretized by linear finite elements, while the control variable is not discretized. We obtain optimal error bounds for the optimal control in two and three space dimensions. Furthermore we prove a superconvergence result in two space dimensions under the assumption that the underlying finite element meshes satisfy certain regularity requirements. We confirm our findings by a numerical experiment. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Who reads A priori estimates for optimal Dirichlet boundary control problems?

Author

Klaus Deckelnick; Andreas Günther; Michael Hinze

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); Wiley (ISSN 1617-7061)

Published

2009

Language

EN

Field

Engineering (Physical Sciences)