A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints
Susanne C. Brenner, Li-yeng Sung · Results in Applied Mathematics · 2025
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 coefficients in the elliptic operator are smooth and also to multiscale finite element methods when the coefficients are rough.