28 citations · 81 across the 5 of their papers we have counts for
5 papers
A posteriori error estimates and adaptive mesh refinement for the Stokes-Brinkman problem
Kevin Williamson, Pavel Burda, Bedřich Sousedík
The Stokes-Brinkman equations model flow in heterogeneous porous media by combining the Stokes and Darcy models of flow into a single system of equations. With suitable parameters,…
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…
Face-based Selection of Corners in 3D Substructuring
Jakub Šístek, Marta Čertíková, Pavel Burda +1
In most recent substructuring methods, a fundamental role is played by the coarse space. For some of these methods (e.g. BDDC and FETI-DP), its definition relies on a 'minimal' set…
BDDC by a frontal solver and the stress computation in a hip joint replacement
Jakub Šístek, Jaroslav Novotný, Jan Mandel +2
A parallel implementation of the BDDC method using the frontal solver is employed to solve systems of linear equations from finite element analysis, and incorporated into a standar…