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Algebraic preconditioning for Biot-Barenblatt poroelastic systems
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SYSNO ASEP 0484833 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Algebraic preconditioning for Biot-Barenblatt poroelastic systems Author(s) Blaheta, Radim (UGN-S) RID, SAI, ORCID
Luber, Tomáš (UGN-S)Number of authors 2 Source Title Applications of Mathematics. - : Springer - ISSN 0862-7940
Roč. 62, č. 6 (2017), s. 561-577Number of pages 17 s. Publication form Online - E Event date 03.02.2017 Event type CST Language eng - English Country CZ - Czech Republic Keywords poroelasticity ; double permeability ; preconditioning ; Schur complement Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Limited access Institutional support UGN-S - RVO:68145535 UT WOS 000419946700003 EID SCOPUS 85039847321 DOI 10.21136/AM.2017.0179-17 Annotation Poroelastic systems describe fluid flow through porous medium coupled with deformation of the porous matrix. In this paper, the deformation is described by linear elasticity, the fluid flow is modelled as Darcy flow. The main focus is on the Biot-Barenblatt model with double porosity/double permeability flow, which distinguishes flow in two regions considered as continua. The main goal is in proposing block diagonal preconditionings to systems arising from the discretization of the Biot-Barenblatt model by a mixed finite element method in space and implicit Euler method in time and estimating the condition number for such preconditioning. The investigation of preconditioning includes its dependence on material coefficients and parameters of discretization. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2018 Electronic address https://link.springer.com/content/pdf/10.21136%2FAM.2017.0179-17.pdf
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