Algebraic preconditioning for Biot-Barenblatt poroelastic systems

0484833 - ÚGN 2018 RIV CZ eng J - Journal Article
Blaheta, Radim - Luber, Tomáš
Algebraic preconditioning for Biot-Barenblatt poroelastic systems.
Applications of Mathematics. Roč. 62, č. 6 (2017), s. 561-577. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA MŠMT LQ1602
Institutional support: RVO:68145535
Keywords : poroelasticity * double permeability * preconditioning * Schur complement
OECD category: Applied mathematics
Impact factor: 0.897, year: 2017
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0279963