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V. Hapla^1,2, D. Horak^1,2, A. Markopoulos^1,3, M. Cermak¹, L. Pospisil^1,2, A. Vasatova^1,2 and R. Sojka^1,2

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

doi:10.4203/ccp.107.8

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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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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. Hapla^1,2, D. Horak^1,2, A. Markopoulos^1,3, M. Cermak¹, L. Pospisil^1,2, A. Vasatova^1,2 and R. Sojka^1,2 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 doi:10.4203/ccp.107.8 purchase the full-text of this paper 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). purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £45 +P&P)
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