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- W1967968802 abstract "We are concerned with an a posteriori error analysis of adaptive finite element approximations of boundary control problems for second order elliptic boundary value problems under bilateral bound constraints on the control which acts through a Neumann type boundary condition. In particular, the analysis of the errors in the state, the co-state, the control, and the co-control invokes an efficient and reliable residual-type a posteriori error estimator as well as data oscillations. The proof of the efficiency and reliability is done without any regularity assumption. Adaptive mesh refinement is realized on the basis of a bulk criterion. The performance of the adaptive finite element approximation is illustrated by a detailed documentation of numerical results for selected test problems." @default.
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- W1967968802 date "2006-01-01" @default.
- W1967968802 modified "2023-09-25" @default.
- W1967968802 title "A posteriori error estimates for adaptive finite element discretizations of boundary control problems" @default.
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- W1967968802 doi "https://doi.org/10.1515/156939506776382139" @default.
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