Algebraic preconditioning for Biot-Barenblatt poroelastic systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00484833" target="_blank" >RIV/68145535:_____/17:00484833 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.21136%2FAM.2017.0179-17.pdf" target="_blank" >https://link.springer.com/content/pdf/10.21136%2FAM.2017.0179-17.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2017.0179-17" target="_blank" >10.21136/AM.2017.0179-17</a>

Result language
angličtina
Original language name
Algebraic preconditioning for Biot-Barenblatt poroelastic systems
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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