Efficient methods for solving the Stokes problem with slip boundary conditions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F18%3A10240505" target="_blank" >RIV/61989100:27230/18:10240505 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/18:10240505
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0378475416301215" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378475416301215</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2016.05.012" target="_blank" >10.1016/j.matcom.2016.05.012</a>
Alternative languages
Result language
angličtina
Original language name
Efficient methods for solving the Stokes problem with slip boundary conditions
Original language description
The paper deals with the Stokes flow with the threshold slip boundary conditions. A finite element approximation of the problem leads to the minimization of a non-differentiable energy functional subject to two linear equality constraints: the impermeability condition on the slip part of the boundary and the incompressibility of the fluid. Eliminating the velocity components, one gets the smooth dual functional in terms of three Lagrange multipliers. The first Lagrange multiplier regularizes the problem. Its components are subject to simple bounds. The other two Lagrange multipliers treat the impermeability and the incompressibility conditions. The last Lagrange multiplier represents the pressure in the whole domain. The solution to the dual problem is computed by an active set strategy and a path-following variant of the interior-point method. Numerical experiments illustrate computational efficiency.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics and computers in simulation
ISSN
0378-4754
e-ISSN
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Volume of the periodical
145
Issue of the periodical within the volume
March 2018
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
114-124
UT code for WoS article
000416128600010
EID of the result in the Scopus database
2-s2.0-84997481985