1 citations · 2 across the 3 of their papers we have counts for
3 papers
Optimal control of partial differential equations in PyTorch using automatic differentiation and neural network surrogates
Denis Khimin, Julian Roth, Alexander Henkes +1
The take-home message of this paper is that solving optimal control problems can be computationally straightforward, provided that differentiable partial differential equation (PDE…
Generalization capabilities of MeshGraphNets to unseen geometries for fluid dynamics
Robin Schmöcker, Alexander Henkes, Julian Roth +1
This works investigates the generalization capabilities of MeshGraphNets (MGN) [Pfaff et al. Learning Mesh-Based Simulation with Graph Networks. ICML 2021] to unseen geometries for…
Adaptive space-time model order reduction with dual-weighted residual (MORe DWR) error control for poroelasticity
Hendrik Fischer, Julian Roth, Ludovic Chamoin +3
In this work, the space-time MORe DWR (Model Order Reduction with Dual-Weighted Residual error estimates) framework is extended and further developed for single-phase flow problems…