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math.NA2026
Numerical analysis for the Stokes problem with non-homogeneous Dirichlet boundary condition
Thomas Apel, Katharina Lorenz, Johannes Pfefferer
The Stokes problem with non-homogeneous Dirichlet boundary condition is solved numerically using conforming discretizations and an approximation of the boundary datum in the corres…
math.NA2024
Numerical Analysis for Neumann Optimal Control Problems on Convex Polyhedral Domains
Johannes Pfefferer, Boris Vexler
This paper is concerned with finite element error estimates for Neumann boundary control problems posed on convex and polyhedral domains. Different discretization concepts are cons…
math.NA2024
Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains
Johannes Pfefferer, Boris Vexler
In this paper error analysis for finite element discretizations of Dirichlet boundary control problems is developed. For the first time, optimal discretization error estimates are…