Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F12%3A00427664" target="_blank" >RIV/68145535:_____/12:00427664 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/article/10.1007/s00791-013-0209-0" target="_blank" >http://link.springer.com/article/10.1007/s00791-013-0209-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00791-013-0209-0" target="_blank" >10.1007/s00791-013-0209-0</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices

Popis výsledku v původním jazyce

Poroelastic models arise in reservoir modeling and many other important applications. Under certain assumptions, they involve a time-dependent coupled system consisting of Navier?Lamé equations for the displacements, Darcy?s flow equation for the fluid velocity and a divergence constraint equation. Stability for infinite time of the continuous problem and, second and third order accurate, time discretized equations are shown. Methods to handle the lack of regularity at initial times are discussed and illustrated numerically. After discretization, at each time step this leads to a block matrix system in saddle point form. Mixed space discretization methods and a regularization method to stabilize the system and avoid locking in the pressure variable arepresented. A certain block matrix preconditioner is shown to cluster the eigenvalues of the preconditioned matrix about the unit value but needs inner iterations for certain matrix.

Název v anglickém jazyce

Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices

Popis výsledku anglicky

Poroelastic models arise in reservoir modeling and many other important applications. Under certain assumptions, they involve a time-dependent coupled system consisting of Navier?Lamé equations for the displacements, Darcy?s flow equation for the fluid velocity and a divergence constraint equation. Stability for infinite time of the continuous problem and, second and third order accurate, time discretized equations are shown. Methods to handle the lack of regularity at initial times are discussed and illustrated numerically. After discretization, at each time step this leads to a block matrix system in saddle point form. Mixed space discretization methods and a regularization method to stabilize the system and avoid locking in the pressure variable arepresented. A certain block matrix preconditioner is shown to cluster the eigenvalues of the preconditioned matrix about the unit value but needs inner iterations for certain matrix.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Computing and Visualization in Science

ISSN

1432-9360

e-ISSN

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Svazek periodika

15

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

NE - Nigerijská federativní republika

Počet stran výsledku

17

Strana od-do

191-207

Kód UT WoS článku

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EID výsledku v databázi Scopus

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