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- W4301867659 abstract "We consider a linear-quadratic optimization problem with pointwise bounds on the state for which the constraint is given by the Laplace-Beltrami equation (to have uniqueness we add an lower order term) on a two-dimensional surface . By using finite elements we approximate the optimization problem by a family of discrete problems and prove convergence rates for the discrete controls and the discrete states. Furthermore, assuming (roughly spoken) a higher regularity for the control the order of convergence improves. This extends a result known in an Euclidean setting to the surface case." @default.
- W4301867659 created "2022-10-05" @default.
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- W4301867659 date "2016-06-09" @default.
- W4301867659 modified "2023-09-27" @default.
- W4301867659 title "Optimal control of elliptic surface PDEs with pointwise bounds on the state" @default.
- W4301867659 doi "https://doi.org/10.48550/arxiv.1606.03025" @default.
- W4301867659 hasPublicationYear "2016" @default.
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