75 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Czech Academy of SciencesCZ23 papers
- Charles UniversityCZ19 papers
- Czech Technical University in PragueCZ18 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ11 papers
- University of Colorado DenverUS7 papers
- Czech Academy of Sciences, Institute of Information Theory and AutomationCZ4 papers
- Czech Academy of Sciences, Institute of MathematicsCZ4 papers
- University of Southern CaliforniaUS4 papers
- Brno University of TechnologyCZ3 papers
- Universidad de SevillaES3 papers
- University of Maryland, College ParkUS3 papers
- University of West Bohemia in PilsenCZ3 papers
14 papers · 1 filter
Coupled time discretisation of dynamic damage models at small strains
Tomáš Roubíček
The dynamic damage model in viscoelastic materials in Kelvin-Voigt rheology is discretised by a scheme which is coupled, suppresses spurious numerical attenuation during vibrations…
Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM
Roman Vodička, Vladislav Mantič, Tomáš Roubíček
The quasistatic normal-compliance contact problem of isotropic homogeneous linear visco-elastic bodies with Coulomb friction at small strains in Kelvin-Voigt rheology is considered…
Energy-conserving time-discretisation of abstract dynamic problems with applications in continuum mechanics of solids
Tomas Roubicek, Christos G. Panagiotopoulos
An abstract 2nd-order evolution equation or inclusion is discretised in time in such a way that the energy is conserved at least in qualified cases, typically in the cases when the…
A simple and efficient BEM implementation of quasistatic linear visco-elasticity
C. G. Panagiotopoulos, V. Mantic, T. Roubicek
A simple, yet efficient procedure to solve quasistatic problems of special linear visco-elastic solids at small strains with equal rheological response in all tensorial components,…
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…
BEM solution of delamination problems using an interface damage and plasticity model
C. G. Panagiotopoulos, V. Mantic, T. Roubicek
The problem of quasistatic and rate-independent evolution of elastic-plastic-brittle delamination at small strains is considered. Delamination processes for linear elastic bodies g…
Hierarchical Schur complement preconditioner for the stochastic Galerkin finite element methods
Bedřich Sousedík, Roger G. Ghanem, Eric T. Phipps
Use of the stochastic Galerkin finite element methods leads to large systems of linear equations obtained by the discretization of tensor product solution spaces along their spatia…
Nested BDDC for a saddle-point problem
Bedřich Sousedík
We propose a Nested BDDC for a class of saddle-point problems. The method solves for both flux and pressure variables. The fluxes are resolved in three-steps: the coarse solve is f…
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 Adaptive-Multilevel BDDC
Bedřich Sousedík, Jan Mandel
We combine the advantages of the adaptive and multilevel approaches, proposed previously by the authors, to propose a new method that preserves both, parallel scalability with incr…
Coarse spaces over the ages
Jan Mandel, Bedřich Sousedík
The objective of this paper is to explain the principles of the design of a coarse space in a simplified way and by pictures. The focus is on ideas rather than on a more historical…
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…
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…
Multispace and Multilevel BDDC
Jan Mandel, Bedřich Sousedík, Clark R. Dohrmann
BDDC method is the most advanced method from the Balancing family of iterative substructuring methods for the solution of large systems of linear algebraic equations arising from d…