3 papers
math.OC2026
A Local Discontinuous Galerkin Method for Dirichlet Boundary Control Problems
Peter Benner, Michael Hinze, Hamdullah Yücel
In this paper, we consider control constrained Dirichlet boundary control of a convection-diffusion equation on a two dimensional convex polygonal domain. We discretize the c…
math.NA2026
Mixed-precision iterative refinement for low-rank Lyapunov equations
Peter Benner, Xiaobo Liu
We develop a mixed-precision iterative refinement framework for solving low-rank Lyapunov matrix equations , where or . Via rounding error analy…
math.AP2025
Stability and decay rate estimates for a nonlinear dispersed flow reactor model with boundary control
Yevgeniia Yevgenieva, Alexander Zuyev, Peter Benner
We investigate a nonlinear parabolic partial differential equation whose boundary conditions contain a single control input. This model describes a chemical reaction of the type ``…