A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints
Journal of Scientific Computing(2024)
Abstract
We construct and analyze a multiscale finite element method for an elliptic distributed optimal control problem with pointwise control constraints, where the state equation has rough coefficients. We show that the performance of the multiscale finite element method is similar to the performance of standard finite element methods for smooth problems and present corroborating numerical results.
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Key words
Elliptic optimal control,Rough coefficients,Pointwise control constraints,Multiscale finite element method,Localized orthogonal decomposition,Domain decomposition,65N30,65N55,65K10,49M41,35B27
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