most citedOptimal control of partial differential equations in PyTorch using automatic differentiation and neural network surrogates

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.OC2024★ 1 cited

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…

cs.LG2024

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…