28 citations · 74 across the 5 of their papers we have counts for
5 papers
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…
Truncated hierarchical preconditioning for the stochastic Galerkin FEM
Bedřich Sousedík, Roger G. Ghanem
Stochastic Galerkin finite element discretizations of partial differential equations with coefficients characterized by arbitrary distributions lead, in general, to fully block den…
Parallel implementation of Multilevel BDDC
Jakub Šístek, Jan Mandel, Bedřich Sousedík +1
In application of the Balancing Domain Decomposition by Constraints (BDDC) to a case with many substructures, solving the coarse problem exactly becomes the bottleneck which spoils…
Application of the parallel BDDC preconditioner to the Stokes flow
Jakub Šístek, Bedřich Sousedík, Pavel Burda +2
A parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method is described. It is based on formulation of BDDC with global matrices without explicit…
On the Equivalence of Primal and Dual Substructuring Preconditioners
Bedřich Sousedík, Jan Mandel
After a short historical review, we present four popular substructuring methods: FETI-1, BDD, FETI-DP, BDDC, and derive the primal versions to the two FETI methods, called P-FETI-1…