Numerical Comparison of Block Preconditioners for Poroelasticity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F24%3A00586673" target="_blank" >RIV/68145535:_____/24:00586673 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/book/10.1007/978-3-031-56208-2" target="_blank" >https://link.springer.com/book/10.1007/978-3-031-56208-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-031-56208-2_3" target="_blank" >10.1007/978-3-031-56208-2_3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Comparison of Block Preconditioners for Poroelasticity

Popis výsledku v původním jazyce

Poroelastic models describe a coupled solid-fluid interaction between a solid skeleton saturated by some fluid. We consider Biot’s model that describes the deformation of the solid skeleton by linear elasticity and the fluid flow by Darcy’s law. The formulation includes displacements, fluid flux and fluid pressure. After time discretization by the implicit Euler method we obtain a linear system with a matrix of 3 × 3 block structure. The focus of the paper is how to solve the so-arising linear system by a preconditioned iterative Krylov subspace iteration method. We analyse a particular Schur complement-based preconditioner, constructed with respect to the pressure variable, and compare its performance with other block preconditioners that arise from various algebraic and functional settings. The numerical experiments are based on geotechnical context inspired by a particular tunnel sealing experiment and test the dependence of the performance of the considered preconditioners on mesh size and permeability.

Název v anglickém jazyce

Numerical Comparison of Block Preconditioners for Poroelasticity

Popis výsledku anglicky

Poroelastic models describe a coupled solid-fluid interaction between a solid skeleton saturated by some fluid. We consider Biot’s model that describes the deformation of the solid skeleton by linear elasticity and the fluid flow by Darcy’s law. The formulation includes displacements, fluid flux and fluid pressure. After time discretization by the implicit Euler method we obtain a linear system with a matrix of 3 × 3 block structure. The focus of the paper is how to solve the so-arising linear system by a preconditioned iterative Krylov subspace iteration method. We analyse a particular Schur complement-based preconditioner, constructed with respect to the pressure variable, and compare its performance with other block preconditioners that arise from various algebraic and functional settings. The numerical experiments are based on geotechnical context inspired by a particular tunnel sealing experiment and test the dependence of the performance of the considered preconditioners on mesh size and permeability.

Druh

D - Stať ve sborníku

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 statě ve sborníku

Large-Scale Scientific Computations

ISBN

978-3-031-56207-5

ISSN

0302-9743

e-ISSN

1611-3349

Počet stran výsledku

8

Strana od-do

44-51

Název nakladatele

Springer Nature Switzerland AG

Místo vydání

Cham

Místo konání akce

Sozopol

Datum konání akce

5. 6. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

001279202200004