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

Result code in 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>

Alternative codes found

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

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10100 - Mathematics

Project

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Continuities

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Publication year

2021

Confidentiality

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

Name of the periodical

Mathematics

ISSN

2227-7390

e-ISSN

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Volume of the periodical

9

Issue of the periodical within the volume

22

Country of publishing house

CH - SWITZERLAND

Number of pages

24

Pages from-to

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UT code for WoS article

000725763300001

EID of the result in the Scopus database

2-s2.0-85119592817