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Algebraic preconditioning for Biot-Barenblatt poroelastic systems

  1. 1. 0484833 - UGN-S 2018 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
    Blaheta, Radim - Luber, Tomáš
    Algebraic preconditioning for Biot-Barenblatt poroelastic systems.
    Applications of Mathematics. Praha: MU AV ČR, 2017 - (Rozložník, M.; Sysala, S.), s. 561-577. 62, 6. ISSN 0862-7940.
    [SNA´17 - Seminar on numerical analysis. Ostrava (CZ), 30.01.2017-03.02.2017]
    Grant CEP: GA MŠk LQ1602
    Institucionální podpora: RVO:68145535
    Klíčová slova: poroelasticity * double permeability * preconditioning * Schur complement
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Applied mathematics
    https://link.springer.com/content/pdf/10.21136%2FAM.2017.0179-17.pdf

    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.
    Trvalý link: http://hdl.handle.net/11104/0279963
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