Nonoverlap** domain decomposition and virtual controls for optimal control problems of p-type on metric graphs

G Leugering - Handbook of Numerical Analysis, 2023‏ - Elsevier
We consider nonoverlap** domain decomposition methods for p-type ordinary and partial
differential equations and corresponding optimal control problems on metric graphs. As an …

Time-domain decomposition for mixed-integer optimal control problems

FM Hante, R Krug, M Schmidt - Applied Mathematics & Optimization, 2023‏ - Springer
We consider mixed-integer optimal control problems, whose optimality conditions involve
global combinatorial optimization aspects for the corresponding Hamiltonian pointwise in …

Gas Transport Network Optimization: PDE-Constrained Models

M Schmidt, FM Hante - Encyclopedia of Optimization, 2023‏ - Springer
The optimal control of gas transport networks was and still is a very important topic for
modern economies and societies. Accordingly, a lot of research has been carried out on this …

A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems

R Krug, G Leugering, A Martin… - INFORMS Journal …, 2024‏ - pubsonline.informs.org
We consider dynamic gas transport optimization problems, which lead to large-scale and
nonconvex mixed-integer nonlinear optimization problems (MINLPs) on graphs. Usually, the …

Space-time-domain decomposition for optimal control problems governed by linear hyperbolic systems

G Leugering - 2021‏ - opus4.kobv.de
In this article, we combine a domain decomposition method in space and time for optimal
control problems with PDE-constraints described by Lagnese and Leugering to a …

[PDF][PDF] Gas Transport Network Optimization: PDE-Constrained Models

FM Hante, M Schmidt - 2023‏ - opus4.kobv.de
The optimal control of gas transport networks was and still is a very important topic for
modern economies and societies. Accordingly, a lot of research has been carried out on this …

Domain decomposition methods for nonlinear elliptic and parabolic equations

E Engström - 2025‏ - portal.research.lu.se
Nonoverlap** domain decomposition methods have been utilized for a long time to solve
linear and nonlinear elliptic problems, and more recently, parabolic problems. Despite this …