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Efficient in-score sparse direct solution of large finite element problems
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SYSNO ASEP 0430422 Document Type A - Abstract R&D Document Type Není vybrán druh dokumentu Title Efficient in-score sparse direct solution of large finite element problems Author(s) Pařík, Petr (UT-L) RID
Plešek, Jiří (UT-L) RID, ORCID, SAISource Title Modelling 2014. - Ostrava : Ústav geoniky AV ČR, 2014 / Blaheta R. ; Starý J. ; Sysalová D. - ISBN 978-80-86407-47-0
S. 66-67Number of pages 2 s. Publication form Print - P Action Modelling 2014 Event date 02.06.2014-06.06.2014 VEvent location Rožnov pod Radhoštěm Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords finite element method ; sparse direct solution Subject RIV JC - Computer Hardware ; Software Institutional support UT-L - RVO:61388998 Annotation Sparse direct solvers represent one of the possible approaches to the solution of large problems in FEM. Our approach focuses on minimizing the amount of storage space and computational time required for the solution of a large problem. This is achieved particularly by using a modified minimum ordering algorithm to reduce the fill-in, therefore, reducing the number of numerical operations needed to compute the solution. Both the factorization and the backsubstitution algorithms are parallelized using the OpenMP library to fully exploit today's multi-core and multi-processor computers. The global stiffness matrix is assembled and stored in-core throughout the computation, using an efficient sparse matrix storage format. We present some details of our sparse direct solver implementation, realized within the framework of our in-house finite element code PMD. We also show the performance results for several large real-world problems taken from the engineering practice and assess the scalability of the solver. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2015
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