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

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/61989100:27740/19:10242667

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

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

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Mathematical Methods in the Applied Sciences

ISSN

0170-4214

e-ISSN

—

Svazek periodika

42

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

24

Strana od-do

1488-1511

Kód UT WoS článku

000461898000011

EID výsledku v databázi Scopus

2-s2.0-85059831059