29 citations · 44 across the 4 of their papers we have counts for
4 papers · 1 filter
Analysis of the SUPG Method for the Solution of Optimal Control Problems
S. Scott Collis, Matthias Heinkenschloss
We study the effect of the streamline upwind/Petrov Galerkin (SUPG) stabilized finite element method on the discretization of optimal control problems governed by linear advection-…
Nonlinear-manifold reduced order models with domain decomposition
Alejandro N. Diaz, Youngsoo Choi, Matthias Heinkenschloss
A nonlinear-manifold reduced order model (NM-ROM) is a great way of incorporating underlying physics principles into a neural network-based data-driven approach. We combine NM-ROMs…
A fast and accurate domain-decomposition nonlinear manifold reduced order model
Alejandro N. Diaz, Youngsoo Choi, Matthias Heinkenschloss
This paper integrates nonlinear-manifold reduced order models (NM-ROMs) with domain decomposition (DD). NM-ROMs approximate the full order model (FOM) state in a nonlinear-manifold…
Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method
Peter Benner, Matthias Heinkenschloss, Jens Saak +1
This paper extends the algorithm of Benner, Heinkenschloss, Saak, and Weichelt: An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations, Applied Numerical…