27 citations · 67 across the 13 of their papers we have counts for
Showing 2023Show all
2 papers · 1 filter
math.OC2023★ 3 cited
A hybrid physics-informed neural network based multiscale solver as a partial differential equation constrained optimization problem
Michael Hintermüller, Denis Korolev
In this work, we study physics-informed neural networks (PINNs) constrained by partial differential equations (PDEs) and their application in approximating PDEs with two characteri…
math.OC2023
Optimal boundary control of the isothermal semilinear Euler equation for gas dynamics on a network
Marcelo Bongarti, Michael Hintermüller
The analysis and boundary optimal control of the nonlinear transport of gas on a network of pipelines is considered. The evolution of the gas distribution on a given pipe is modele…