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BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions
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SYSNO ASEP 0450643 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions Tvůrce(i) Šístek, Jakub (MU-W) RID, ORCID, SAI
Březina, J. (CZ)
Sousedík, B. (US)Zdroj.dok. Numerical Linear Algebra with Applications. - : Wiley - ISSN 1070-5325
Roč. 22, č. 6 (2015), s. 903-929Poč.str. 27 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova BDDC ; fractured porous media ; iterative substructuring Vědní obor RIV BA - Obecná matematika CEP GA14-02067S GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000368371500002 EID SCOPUS 84955200717 DOI 10.1002/nla.1991 Anotace We extend the balancing domain decomposition by constraints (BDDC) method to flows in porous media discretised by mixed-hybrid finite elements with combined mesh dimensions. Such discretisations appear when major geological fractures are modelled by one-dimensional or two-dimensional elements inside three-dimensional domains. In this set-up, the global problem and the substructure problems have a symmetric saddle-point structure, containing a ‘penalty’ block due to the combination of meshes. We show that the problem can be reduced by means of iterative substructuring to an interface problem, which is symmetric and positive definite. The interface problem can thus be solved by conjugate gradients with the BDDC method as a preconditioner. A parallel implementation of this algorithm is incorporated into an existing software package for subsurface flow simulations. We study the performance of the iterative solver on several academic and real-world problems. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2016
Počet záznamů: 1