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math.NA2022★ 5 cited
A stochastic Galerkin method with adaptive time-stepping for the Navier-Stokes equations
Bedřich Sousedík, Randy Price
We study the time-dependent Navier-Stokes equations in the context of stochastic finite element discretizations. Specifically, we assume that the viscosity is a random field given…
math.NA2021
Data Assimilation with Deep Neural Nets Informed by Nudging
Harbir Antil, Rainald Löhner, Randy Price
The nudging data assimilation algorithm is a powerful tool used to forecast phenomena of interest given incomplete and noisy observations. Machine learning is becoming increasingly…
math.NA2021★ 3 cited
On Surrogate Learning for Linear Stability Assessment of Navier-Stokes Equations with Stochastic Viscosity
Bedřich Sousedík, Howard C. Elman, Kookjin Lee +1
We study linear stability of solutions to the Navier\textendash Stokes equations with stochastic viscosity. Specifically, we assume that the viscosity is given in the form of a~sto…