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- W4302611615 abstract "PDE-constrained optimization problems with control or state constraints are challenging from an analytical as well as numerical perspective. The combination of these constraints with a sparsity-promoting $rm L^1$ term within the objective function requires sophisticated optimization methods. We propose the use of an Interior Point scheme applied to a smoothed reformulation of the discretized problem, and illustrate that such a scheme exhibits robust performance with respect to parameter changes. To increase the potency of this method we introduce fast and efficient preconditioners which enable us to solve problems from a number of PDE applications in low iteration numbers and CPU times, even when the parameters involved are altered dramatically." @default.
- W4302611615 created "2022-10-07" @default.
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- W4302611615 date "2018-06-15" @default.
- W4302611615 modified "2023-10-01" @default.
- W4302611615 title "Interior Point Methods and Preconditioning for PDE-Constrained Optimization Problems Involving Sparsity Terms" @default.
- W4302611615 doi "https://doi.org/10.48550/arxiv.1806.05896" @default.
- W4302611615 hasPublicationYear "2018" @default.
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