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• W2278458311 abstract "Abstract In this work, we develop an adaptive algorithm for solving elliptic optimal control problems with simultaneously appearing state and control constraints. The algorithm combines a Moreau-Yosida technique for handling state constraints with a semi-smooth Newton method for solving the optimality systems of the regularized sub-problems. The state and adjoint variables are discretized using continuous piecewise linear finite elements while a variational discretization concept is applied for the control. To perform the adaptive mesh refinements cycle we derive local error estimators which extend the goal-oriented error approach to our setting. The performance of the overall adaptive solver is assessed by numerical examples." @default.
• W2278458311 created "2016-06-24" @default.
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• W2278458311 date "2016-01-27" @default.
• W2278458311 modified "2023-09-26" @default.
• W2278458311 title "A Goal-Oriented Adaptive Moreau-Yosida Algorithm for Control- and State-Constrained Elliptic Control Problems" @default.
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• W2278458311 doi "https://doi.org/10.4208/aamm.2014.m663" @default.
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