Power law Stokes equations with threshold slip boundary conditions: Numerical methods and implementation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F19%3A10242667" target="_blank" >RIV/61989100:27230/19:10242667 - isvavai.cz</a>

Alternative codes found

RIV/61989100:27740/19:10242667

Result on the web

<a href="https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.5443" target="_blank" >https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.5443</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mma.5443" target="_blank" >10.1002/mma.5443</a>

Result language

angličtina

Original language name

Power law Stokes equations with threshold slip boundary conditions: Numerical methods and implementation

Original language description

For the power law Stokes equations driven by nonlinear slip boundary conditions of friction type, we propose three iterative schemes based on augmented Lagrangian approach and interior point method to solve the finite element approximation associated to the continuous problem. We formulate the variational problem which in this case is a variational inequality and construct the weak solution of the continuous problem. Next, we formulate two alternating direction methods based on augmented Lagrangian formalism in order to separate the velocity from the symmetric part the velocity gradient and tangential part of the velocity. Thirdly, we present some salient points of a path-following variant of the interior point method associated to the finite element approximation of the problem. Some numerical experiments are performed to confirm the validity of the schemes and allow us to compare them.

Czech name

—

Czech description

—

Type

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

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2019

Confidentiality

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

Name of the periodical

Mathematical Methods in the Applied Sciences

ISSN

0170-4214

e-ISSN

—

Volume of the periodical

42

Issue of the periodical within the volume

5

Country of publishing house

US - UNITED STATES

Number of pages

24

Pages from-to

1488-1511

UT code for WoS article

000461898000011

EID of the result in the Scopus database

2-s2.0-85059831059