Foundations of space-time finite element methods: polytopes, interpolation, and integration

no code implementations • 16 Dec 2020 • Cory V. Frontin, Gage S. Walters, Freddie D. Witherden, Carl W. Lee, David M. Williams, David L. Darmofal

In order to develop a finite element method in this setting, it is necessary to create a numerical foundation, or equivalently a numerical infrastructure.

Numerical Analysis Numerical Analysis 52B11, 65D05, 65D32, 74S05, 76M10

Parameter-Conditioned Sequential Generative Modeling of Fluid Flows

no code implementations • 14 Dec 2019 • Jeremy Morton, Freddie D. Witherden, Mykel J. Kochenderfer

The computational cost associated with simulating fluid flows can make it infeasible to run many simulations across multiple flow conditions.

Deep Variational Koopman Models: Inferring Koopman Observations for Uncertainty-Aware Dynamics Modeling and Control

1 code implementation • 26 Feb 2019 • Jeremy Morton, Freddie D. Witherden, Mykel J. Kochenderfer

We introduce the Deep Variational Koopman (DVK) model, a method for inferring distributions over observations that can be propagated linearly in time.

Deep Dynamical Modeling and Control of Unsteady Fluid Flows

1 code implementation • NeurIPS 2018 • Jeremy Morton, Freddie D. Witherden, Antony Jameson, Mykel J. Kochenderfer

The design of flow control systems remains a challenge due to the nonlinear nature of the equations that govern fluid flow.

Model Predictive Control