Algebraic preconditioning for Biot-Barenblatt poroelastic systems

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Algebraic preconditioning for Biot-Barenblatt poroelastic systems

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Algebraic preconditioning for Biot-Barenblatt poroelastic systems

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applications of Mathematics

ISSN

0862-7940

e-ISSN

—

Svazek periodika

62

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

17

Strana od-do

561-577

Kód UT WoS článku

000419946700003

EID výsledku v databázi Scopus

2-s2.0-85039847321