A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints

2023/09/27 by Susanne C. Brenner, Brenner, Susanne C., José C. Garay +3
Computer Science · Engineering · #35B27 #49M41 #65K10 #65N30 #65N55 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2309.16062

openalex publication_date 2023/09/27 · openalex created_date 2023/10/01 · openalex updated_date 2026/07/28

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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