Stokes system with solution -dependent slip boundary conditions: Analysis, approximation and implementation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10386677" target="_blank" >RIV/00216208:11320/18:10386677 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.sagepub.com/doi/full/10.1177/1081286517716222" target="_blank" >https://journals.sagepub.com/doi/full/10.1177/1081286517716222</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/1081286517716222" target="_blank" >10.1177/1081286517716222</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Stokes system with solution -dependent slip boundary conditions: Analysis, approximation and implementation

Popis výsledku v původním jazyce

The paper deals with the approximation, convergence analysis and implementation of the Stokes system with threshold slip boundary conditions of Navier type. Based on the fixed-point formulation we prove the existence of a solution for a class of solution-dependent slip functions g satisfying an appropriate growth condition and its uniqueness provided that g is one-sided Lipschitz continuous. Further we study under which conditions the respective fixed-point mapping is contractive. To discretize the problem we use P1-bubble/P1 elements. Properties of discrete models in dependence on the discretization parameter are analysed and convergence results are established. In the second part of the paper we briefly describe the duality approach used in computations and present results of a model example.

Název v anglickém jazyce

Stokes system with solution -dependent slip boundary conditions: Analysis, approximation and implementation

Popis výsledku anglicky

The paper deals with the approximation, convergence analysis and implementation of the Stokes system with threshold slip boundary conditions of Navier type. Based on the fixed-point formulation we prove the existence of a solution for a class of solution-dependent slip functions g satisfying an appropriate growth condition and its uniqueness provided that g is one-sided Lipschitz continuous. Further we study under which conditions the respective fixed-point mapping is contractive. To discretize the problem we use P1-bubble/P1 elements. Properties of discrete models in dependence on the discretization parameter are analysed and convergence results are established. In the second part of the paper we briefly describe the duality approach used in computations and present results of a model example.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA17-01747S" target="_blank" >GA17-01747S: Teorie a numerická analýza sdružených problémů dynamiky tekutin</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Mathematics and Mechanics of Solids

ISSN

1081-2865

e-ISSN

—

Svazek periodika

23

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

14

Strana od-do

294-307

Kód UT WoS článku

000429895300004

EID výsledku v databázi Scopus

2-s2.0-85044166501