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arXiv · 2411.01550

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

Susanne C. Brenner·Li-yeng Sung
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Abstract

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.

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Susanne C. Brenner, Li-yeng Sung. 2024-11-03. A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints. https://arxiv.org/abs/2411.01550

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