7 papers
Vakonomic Fluids
Ritoban Roy-Chowdhury, Mohammad Sina Nabizadeh, Oliver Gross +2
We introduce a novel discretization of the incompressible Euler equations based on their interpretation as geodesic equations on the Lie group of volume-preserving diffeomorphisms.…
Hybrid coupling with operator inference and the overlapping Schwarz alternating method
Irina Tezaur, Eric Parish, Anthony Gruber +3
This paper presents a novel hybrid approach for coupling subdomain-local non-intrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain-loc…
Flexible and Stable Dynamics Discovery with Onsager's Variational Principle
Anthony Gruber, Ritoban Roy-Chowdhury, Irina Tezaur +1
Variational principles specify the dynamics of a physical system via the extremization of associated functional data. Onsager's variational principle (OVP), which characterizes dis…
NN-OpInf: an operator inference approach using structure-preserving composable neural networks
Eric Parish, Anthony Gruber, Patrick Blonigan +1
We propose neural network operator inference (NN-OpInf): a structure-preserving, composable, and minimally restrictive operator inference framework for the non-intrusive reduced-or…
Domain Decomposition-Based Coupling of High-Fidelity Finite Element and Reduced Order Operator Inference Models Using the Schwarz Alternating Method
Ian Moore, Anthony Gruber, Chris Wentland +1
We propose a novel hybrid domain decomposition method that couples sub-domain-local high-fidelity finite element (FE) models with reduced order models (ROMs) using the Schwarz alte…
Transmission Conditions for the Non-Overlapping Schwarz Coupling of Full Order and Operator Inference Models
Cameron Rodriguez, Irina Tezaur, Alejandro Mota +3
This work investigates transmission conditions for the domain decomposition-based coupling of subdomain-local models using the non-overlapping Schwarz alternating method (NO-SAM).…