Original title: Algebraic preconditioning for Biot-Barenblatt poroelastic systems
Authors: Blaheta, Radim ; Luber, Tomáš
Document type: Papers
Conference/Event: SNA´17 - Seminar on numerical analysis, Ostrava (CZ), 20170130
Year: 2017
Language: eng
Abstract: 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.
Keywords: double permeability; poroelasticity; preconditioning; Schur complement
Project no.: LQ1602 (CEP)
Funding provider: GA MŠk
Host item entry: Applications of Mathematics, ISSN 0862-7940

Institution: Institute of Geonics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://link.springer.com/content/pdf/10.21136%2FAM.2017.0179-17.pdf
Original record: http://hdl.handle.net/11104/0279963

Permalink: http://www.nusl.cz/ntk/nusl-371457


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