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- W2078576875 abstract "Abstract A Neumann boundary control problem for a linear‐quadratic elliptic optimal control problem in a polygonal domain is investigated. The main goal is to show an optimal approximation order for discretized problems after a postprocessing process. It turns out that two saturation processes occur: The regularity of the boundary data of the adjoint state is limited if the largest angle of the polygon is at least 2 π /3. Moreover, piecewise linear finite elements cannot guarantee the optimal order, if the largest angle of the polygon is greater than π /2. We will derive error estimates of order h σ with σ ∈ [3/2, 2] depending on the largest angle and properties of the finite elements. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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- W2078576875 date "2007-12-01" @default.
- W2078576875 modified "2023-09-24" @default.
- W2078576875 title "On saturation effects in the Neumann boundary control of elliptic optimal control problems" @default.
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- W2078576875 doi "https://doi.org/10.1002/pamm.200700674" @default.
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