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arXiv:2411.01550 [math.NA]AbstractReferencesReviewsResources

A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints

Susanne C. Brenner, Li-yeng Sung

Published 2024-11-03Version 1

We present a new error analysis for finite element methods for a linear-quadratic elliptic optimal control problem with Neumann boundary control and pointwise control constraints. It can be applied to standard finite element methods when the coefficient s in the elliptic operator are smooth and also to multiscale finite element methods when the coefficients are rough.

Comments: 18 pages
Categories: math.NA, cs.NA, math.OC
Subjects: 65N30, 65K10, 49M41
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