Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F24%3APU149397" target="_blank" >RIV/00216305:26230/24:PU149397 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27230/24:10253031 RIV/61989100:27740/24:10253031

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0378475423003737" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378475423003737</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.matcom.2023.08.036" target="_blank" >10.1016/j.matcom.2023.08.036</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments

Popis výsledku v původním jazyce

The paper deals with the approximation and numerical realization of the Stokes system in 3D with Coulomb's slip boundary conditions. The weak velocity-pressure formulation leads to an implicit in- equality type problem which is discretized by the P1+bubble/P1 elements. To regularize the discrete non-smooth slip term and to release the discrete impermeability condition the duality approach is used. For numerical realization of the resulting saddle-point problem two strategies are proposed, namely i) its fixed-point formulation solved by the method of successive approximations ii) the direct numerical solu- tion of the saddle-point problem. The semi-smooth Newton method is used to solve non-smooth equations appearing in both these approaches.

Název v anglickém jazyce

Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments

Popis výsledku anglicky

The paper deals with the approximation and numerical realization of the Stokes system in 3D with Coulomb's slip boundary conditions. The weak velocity-pressure formulation leads to an implicit in- equality type problem which is discretized by the P1+bubble/P1 elements. To regularize the discrete non-smooth slip term and to release the discrete impermeability condition the duality approach is used. For numerical realization of the resulting saddle-point problem two strategies are proposed, namely i) its fixed-point formulation solved by the method of successive approximations ii) the direct numerical solu- tion of the saddle-point problem. The semi-smooth Newton method is used to solve non-smooth equations appearing in both these approaches.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2024

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

1872-7166

Svazek periodika

2024

Číslo periodika v rámci svazku

216

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

23

Strana od-do

145-167

Kód UT WoS článku

001081471900001

EID výsledku v databázi Scopus

2-s2.0-85171420757