Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F24%3A00584471" target="_blank" >RIV/68145535:_____/24:00584471 - isvavai.cz</a>

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/full/10.1002/nla.2546" target="_blank" >https://onlinelibrary.wiley.com/doi/full/10.1002/nla.2546</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nla.2546" target="_blank" >10.1002/nla.2546</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material

Popis výsledku v původním jazyce

This paper focuses on the analysis and the solution of the saddle-point problem arising from a three-field formulation of Biot's model of poroelasticity, discretized in time by the implicit Euler method. A block diagonal-preconditioner, based on the Schur complement, is analyzed on a functional level and compared with two other block-diagonal preconditioners having a similar structure. The problem is discretized in space using mixed finite elements and solved with appropriate iterative solvers, incorporating the investigated preconditioners. The solvers are tested on numerical examples inspired by geotechnical practice, with particular attention devoted to the solvers' robustness concerning strong heterogeneity in permeability.

Název v anglickém jazyce

Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material

Popis výsledku anglicky

This paper focuses on the analysis and the solution of the saddle-point problem arising from a three-field formulation of Biot's model of poroelasticity, discretized in time by the implicit Euler method. A block diagonal-preconditioner, based on the Schur complement, is analyzed on a functional level and compared with two other block-diagonal preconditioners having a similar structure. The problem is discretized in space using mixed finite elements and solved with appropriate iterative solvers, incorporating the investigated preconditioners. The solvers are tested on numerical examples inspired by geotechnical practice, with particular attention devoted to the solvers' robustness concerning strong heterogeneity in permeability.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Numerical Linear Algebra with Applications

ISSN

1070-5325

e-ISSN

1099-1506

Svazek periodika

31

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

18

Strana od-do

e2546

Kód UT WoS článku

001130285900001

EID výsledku v databázi Scopus

2-s2.0-85180895484