Total-FETI Massively Parallel Implementation Research Group

About the group

The main purpose of this group is to develop, implement, test and optimize FETI-based algorithms for the solution of large scale engineering problems. Developement of C/C++ library of FETI solvers based on PETSc and Trilinos frameworks is in progress. Our codes has already been tested on more than 4000 cores (at EPCC, UK). The goal is to extend the scalability up to tens of thousands of cores.

Members

Project leader
Ing. David Horak, Ph.D.david.horak at vsb.cz
Junior Researchers
Ing. Lubomir Riha
Ing. Martin Cermak, Ph.D.martin.cermak at vsb.cz
Research assistants
Ing. Vaclav Haplavaclav.hapla at vsb.cz
Ing. Martin Mensikmartin.mensik at vsb.cz
Ing. Michal Mertamichal.merta at vsb.cz

Developed codes and activities

Contact

Members of the group are also members of the Department of Applied Mathematics, VSB-TU Ostrava, SPOMECH project and Centre of Excellence IT4Innovations the aim of which is to build a national Centre of Excellence in the field of information technologies.

Centre of Excellence IT4Innovations
VŠB-Technical University of Ostrava
17. listopadu 15/2172, 708 33 Ostrava-Poruba
Czech Republic

News

References

HAPLA, Václav; HORÁK, David; MERTA, Michal. Use of direct solvers in TFETI massively parallel implementation. Lecture Notes in Computer Science. Springer, 2013, 7782, pp. 192-205. DOI: 10.1007/978-3-642-36803-5_14.
 
HAPLA, V., HORAK, D.: TFETI coarse space projectors parallelization strategies, PPAM 2011, Lecture Notes in Computer Science, 7203 LNCS (PART 1), Springer, 2012, pp. 152-162, DOI: 10.1007/978-3-642-31464-3_16
 
HAPLA, V., HORAK, D., MERTA, M.: Software design of TFETI massively parallel implementation, Proceedings of SNA 2012, Technical University of Liberec, pp. 60-63, ISBN: 978-80-7372-821-2, URL.
 
KOZUBEK T.; VONDRAK, V.; MENSIK M.; HORAK, D.; DOSTAL, Z.; HAPLA V.; KABELIKOVA, P.; CERMAK M. Total FETI domain decomposition method and its massively parallel implementation. Accepted for publishing in Advances in Engineering Software.
 
DOSTAL, Z.; KOZUBEK, T.; MARKOPOULOS, A.; MENSIK, M. Cholesky decomposition and a generalized inverse of the stiffness matrix of a floating structure with known null space. Applied Mathematics and Computation. 2011; 217:6067–6077.
 
DOSTAL, Z.; KOZUBEK, T.; VONDRAK, V; BRZOBOHATY, T.; MARKOPOULOS, A. Scalable TFETI algorithm for the solution of multibody contact problems of elasticity. Int. J. Numer. Meth. Engng. 82(11), 1384-1405, (2010).
 
DOSTAL, Z.; KOZUBEK, T.; MARKOPOULOS, A.; BRZOBOHATY, T.; VONDRAK, V.; HORYL, P. Theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction. CMAME, 2011, DOI: 10.1016/j.cma.2011.02.015.
 
HORAK, D.; DOSTAL, Z. Parallelization of the Total-FETI-1 Algorithm for Contact Problems using PETSc. In IVÁNYI, P.; TOPPING, B. H. V. Proceedings of the Second International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering, Stirlingshire : Civil-Comp Press, 2011.
 
MENSIK, M. The Inexact Solution of the Primal Part in the Domain Decomposition Method. In IVÁNYI, P.; TOPPING, B. H. V. Proceedings of the Second International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering, Stirlingshire : Civil-Comp Press, 2011.
 
VONDRAK, V.; KOZUBEK, T.; SADOWSKA, M.; DOSTAL, Z. TBETI and TFETI Algorithms for Contact Shape Optimization Problems. In IVÁNYI, P.; TOPPING, B. H. V. Proceedings of the Second International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering, Stirlingshire : Civil-Comp Press, 2011.
 
HORAK, D.; KABELIKOVA, P.; MERTA, M.; VONDRAK, V. The OOSol Scalable Library Based on a Domain Decomposition Method. In IVÁNYI, P.; TOPPING, B. H. V. Proceedings of the Second International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering. Stirlingshire : Civil-Comp Press, 2011.