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Sparse direct solver with reordering of linear motion equations in FEM
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SYSNO ASEP 0350370 Document Type L4 - Software R&D Document Type Software Title Sparse direct solver with reordering of linear motion equations in FEM Author(s) Pařík, Petr (UT-L) RID Year of issue 2010 Int.Code INV-10001 SResult web page, Location of the result Ústav termomechaniky AV ČR, v. v. i. Technical parameters Ing. Petr Pařík, Ph.D., Ústav termomechaniky AV ČR, v. v. i., Dolejškova 5, 182 00 Praha 8, tel. +2 6605 3441, e-mail: parik@it.cas.cz, licenční smlouva č.2/2010 ze dne 1.11.2010 Economic parameters Zrychlení a zefektivnění výpočtů MKP Owner Name Ústav termomechaniky AV ČR, v. v. i. Registration Number of the result owner 61388998 Use by another entity A - Pro využití výsledku jiným subjektem je vždy nutné nabytí licence License fee fee A - Poskytovatel licence požaduje licenční poplatek Language eng - English Country CZ - Czech Republic Keywords FEM ; sparse direct solution ; linear elastostatics Subject RIV BA - General Mathematics R&D Projects ME10114 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA101/09/1630 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z20760514 - UT-L (2005-2011) Annotation The direct sparse solver with reordering is designed to solve very large linear equation systems obtained from FEM analysis in elastostatics. It uses a variant of Gaussian elimination featuring an effective and fast factorization of the coefficient matrix (i.e., the global stiffness matrix), which is stored in a custom sparse block format. The factorization is preceeded by an automatic reordering of the equations using the Approximate Minimum Degree ordering that considerably reduces both computational time and storage requirements of the solution. The program is implemented numerically as an independent module of the commercial system PMD (Package for Machine Design). 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 2011
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