Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F21%3A10248043" target="_blank" >RIV/61989100:27230/21:10248043 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/21:10248043 RIV/00216305:26230/21:PU138941

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0378475420304705" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378475420304705</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.matcom.2020.12.015" target="_blank" >10.1016/j.matcom.2020.12.015</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D

Popis výsledku v původním jazyce

The paper deals with the numerical realization of the 3D Stokes flow subject to threshold slip boundary conditions. The weak velocity-pressure formulation leads to an inequality type problem that is approximated by a mixed finite element method. The resulting algebraic system is non-smooth. Besides the pressure, three additional Lagrange multipliers are introduced: the discrete normal stress releasing the impermeability condition and two discrete shear stresses regularizing the non-smooth slip term. Eliminating the discrete velocity component we obtain the minimization problem for the smooth functional, expressed in terms of the pressure, the normal, and the shear stresses. This problem is solved either by a path following variant of the interior point method or by the semi-smooth Newton method. Numerical scalability is illustrated by computational experiments.

Název v anglickém jazyce

Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D

Popis výsledku anglicky

The paper deals with the numerical realization of the 3D Stokes flow subject to threshold slip boundary conditions. The weak velocity-pressure formulation leads to an inequality type problem that is approximated by a mixed finite element method. The resulting algebraic system is non-smooth. Besides the pressure, three additional Lagrange multipliers are introduced: the discrete normal stress releasing the impermeability condition and two discrete shear stresses regularizing the non-smooth slip term. Eliminating the discrete velocity component we obtain the minimization problem for the smooth functional, expressed in terms of the pressure, the normal, and the shear stresses. This problem is solved either by a path following variant of the interior point method or by the semi-smooth Newton method. Numerical scalability is illustrated by computational experiments.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - 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

2021

Kód důvěrnosti údajů

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

Název periodika

Mathematics and computers in simulation

ISSN

0378-4754

e-ISSN

—

Svazek periodika

189

Číslo periodika v rámci svazku

November

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

191-206

Kód UT WoS článku

000683684700015

EID výsledku v databázi Scopus

2-s2.0-85099149188