A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints
Numerical Analysis
2024-11-05 v1 Numerical Analysis
Optimization and Control
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.
Cite
@article{arxiv.2411.01550,
title = {A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints},
author = {Susanne C. Brenner and Li-yeng Sung},
journal= {arXiv preprint arXiv:2411.01550},
year = {2024}
}
Comments
18 pages