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 …

[PDF][PDF] Limits of stabilization of a networked hyperbolic system with a circle

M Gugat, X Huang, Z Wang - Control and Cybernetics, 2023‏ - sciendo.com
This paper is devoted to the discussion of the exponential stability of a networked hyperbolic
system with a circle. Our analysis extends an example by Bastin and Coron about the limits …

Transient gas pipeline flow: analytical examples, numerical simulation and a comparison to the quasi-static approach

M Gugat, R Krug, A Martin - Optimization and Engineering, 2023‏ - Springer
The operation of gas pipeline flow with high pressure and small Mach numbers allows to
model the flow by a semilinear hyperbolic system of partial differential equations. In this …

Existence of solution and optimal control results in coupled wave system with Lipschitz nonlinearity

S Kumar, Ta**der - International Journal of Dynamics and Control, 2025‏ - Springer
In this manuscript, we investigate the optimal control problem for a coupled semilinear
system characterized by two wave equations in which the nonlinear function satisfies …

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 …

[PDF][PDF] Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems with mixed two-point boundary conditions

R Krug, G Leugering, A Martin, M Schmidt… - Control and …, 2021‏ - sciendo.com
In this article, we study the time-domain decomposition of optimal control problems for
systems of semilinear hyperbolic equations and provide an in-depth well-posedness …

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 …

[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 …