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20082017
most citedCoupling parallel adaptive mesh refinement with a nonoverlapping domain decomposition solver

13 citations · 21 across the 2 of their papers we have counts for

collaborators

7 papers

math.NA2017★ 13 cited

Coupling parallel adaptive mesh refinement with a nonoverlapping domain decomposition solver

Pavel Kůs, Jakub Šístek

We study the effect of adaptive mesh refinement on a parallel domain decomposition solver of a linear system of algebraic equations. These concepts need to be combined within a par…

math.NA2015★ 8 cited

BDDC for Mixed-Hybrid Formulation of Flow in Porous Media with Combined Mesh Dimensions

Jakub Šístek, Jan Březina, Bedřich Sousedík

We extend the Balancing Domain Decomposition by Constraints (BDDC) method to flows in porous media discretised by mixed-hybrid finite elements with combined mesh dimensions. Such d…

math.NA2013

Adaptive-Multilevel BDDC and its parallel implementation

Bedřich Sousedík, Jakub Šístek, Jan Mandel

We combine the adaptive and multilevel approaches to the BDDC and formulate a method which allows an adaptive selection of constraints on each decomposition level. We also present…

math.OC2010

A New Mechanism for Maintaining Diversity of Pareto Archive in Multiobjective Optimization

Jaroslav Hájek, András Szöllös, Jakub Šístek

The article introduces a new mechanism for selecting individuals to a Pareto archive. It was combined with a micro-genetic algorithm and tested on several problems. The ability of…

math.NA2009

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…

math.NA2009

Adaptive BDDC in Three Dimensions

Jan Mandel, Bedřich Sousedík, Jakub Šístek

The adaptive BDDC method is extended to the selection of face constraints in three dimensions. A new implementation of the BDDC method is presented based on a global formulation wi…