Numerical modeling of the leak through semipermeable walls for 2D/3D Stokes flow: experimental scalability of dual algorithms

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F21%3A10248816" target="_blank" >RIV/61989100:27230/21:10248816 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/21:10248816 RIV/00216305:26230/21:PU143637

Výsledek na webu

<a href="https://www.mdpi.com/2227-7390/9/22/2906" target="_blank" >https://www.mdpi.com/2227-7390/9/22/2906</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math9222906" target="_blank" >10.3390/math9222906</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical modeling of the leak through semipermeable walls for 2D/3D Stokes flow: experimental scalability of dual algorithms

Popis výsledku v původním jazyce

The paper deals with the Stokes flow subject to the threshold leak boundary conditions in two and three space dimensions. The velocity-pressure formulation leads to the inequality type problem that is approximated by the P1-bubble/P1 mixed finite elements. The resulting algebraic system is nonsmooth. It is solved by the path-following variant of the interior point method, and by the active-set implementation of the semi-smooth Newton method. Inner linear systems are solved by the preconditioned conjugate gradient method. Numerical experiments illustrate scalability of the algorithms. The novelty of this work consists in applying dual strategies for solving the problem.

Název v anglickém jazyce

Numerical modeling of the leak through semipermeable walls for 2D/3D Stokes flow: experimental scalability of dual algorithms

Popis výsledku anglicky

The paper deals with the Stokes flow subject to the threshold leak boundary conditions in two and three space dimensions. The velocity-pressure formulation leads to the inequality type problem that is approximated by the P1-bubble/P1 mixed finite elements. The resulting algebraic system is nonsmooth. It is solved by the path-following variant of the interior point method, and by the active-set implementation of the semi-smooth Newton method. Inner linear systems are solved by the preconditioned conjugate gradient method. Numerical experiments illustrate scalability of the algorithms. The novelty of this work consists in applying dual strategies for solving the problem.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

—

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Mathematics

ISSN

2227-7390

e-ISSN

—

Svazek periodika

9

Číslo periodika v rámci svazku

22

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

24

Strana od-do

—

Kód UT WoS článku

000725763300001

EID výsledku v databázi Scopus

2-s2.0-85119592817