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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 107
PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING
Edited by:
Paper 8

Massively Parallel Solution of Elasticity Contact Problems using the PERMON Toolbox

V. Hapla1,2, D. Horak1,2, A. Markopoulos1,3, M. Cermak1, L. Pospisil1,2, A. Vasatova1,2 and R. Sojka1,2

1IT4Innovations, VSB - Technical University of Ostrava, Czech Republic
2Department of Applied Mathematics, VSB - Technical University of Ostrava, Czech Republic
3Faculty of Mechanical Engineering, VSB - Technical University of Ostrava, Czech Republic

Full Bibliographic Reference for this paper
V. Hapla, D. Horak, A. Markopoulos, M. Cermak, L. Pospisil, A. Vasatova, R. Sojka, "Massively Parallel Solution of Elasticity Contact Problems using the PERMON Toolbox", in , (Editors), "Proceedings of the Fourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 8, 2015. doi:10.4203/ccp.107.8
Keywords: PERMON, PermonFLLOP, PermonQP, QP, FETI, TFETI, variational inequalities, contact problems, elasticity.

Summary
In this paper a new PERMON toolbox for parallel, efficient, robust, modular, object oriented, numerical simulations is presented. It makes use of advanced results in quadratic programming (QP) algorithms, discretization and domain decomposition methods (DDM), and the application-specific methods. The core solver layer consists of three modules: PermonQP (basic QP), PermonFLLOP (FETI DDM), and PermonIneq (inequality-constrained QP). This paper concentrates on the efficient parallel realization of orthogonalization of the so-called coarse space matrix arising in FETI. This orthogonalization lies within the scope of PermonQP, but is motivated by efficient solution of variational inequalities such as contact problems (PermonIneq) in the massively parallel context (PermonFLLOP).

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