3 citations · 6 across the 4 of their papers we have counts for
7 papers
A Mean-Informed Low-Rank Monolithic Stochastic Galerkin Solver for the Unsteady Navier-Stokes Equations
Ahmet Kaan Aydin, Bedřich Sousedík
We study a low-rank solver for the stochastic unsteady incompressible Navier--Stokes equations with uncertain viscosity. The problem is discretized by a stochastic Galerkin method…
Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC
Bedřich Sousedík
We study a framework that allows to solve the coarse problem in the FETI-DP method approximately. It is based on the saddle-point formulation of the FETI-DP system with a block-tri…
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…
Application of adaptive ANOVA and reduced basis methods to the stochastic Stokes-Brinkman problem
Kevin Williamson, Heyrim Cho, Bedřich Sousedík
The Stokes-Brinkman equations model fluid flow in highly heterogeneous porous media. In this paper, we consider the numerical solution of the Stokes-Brinkman equations with stochas…
On adaptive BDDC for the flow in heterogeneous porous media
Bedřich Sousedík
We study a method based on Balancing Domain Decomposition by Constraints (BDDC) for a numerical solution of a single-phase flow in heterogenous porous media. The method solves for…
Inexact Methods for Symmetric Stochastic Eigenvalue Problems
Kookjin Lee, Bedřich Sousedík
We study two inexact methods for solutions of random eigenvalue problems in the context of spectral stochastic finite elements. In particular, given a parameter-dependent, symmetri…