Multilevel BDDC for incompressible Navier-Stokes equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00535448" target="_blank" >RIV/67985840:_____/20:00535448 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21220/20:00345304
Result on the web
<a href="https://doi.org/10.1137/19M1276479" target="_blank" >https://doi.org/10.1137/19M1276479</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/19M1276479" target="_blank" >10.1137/19M1276479</a>
Alternative languages
Result language
angličtina
Original language name
Multilevel BDDC for incompressible Navier-Stokes equations
Original language description
We present an approach to the numerical solution of steady Navier–Stokes equations. Approximation by the finite element method (FEM) leads to a nonlinear saddle-point system. The system is linearized by the Picard iteration, which leads to a sequence of linear saddle-point systems with nonsymmetric matrices. In this paper, we study the application of Balancing Domain Decomposition based on Constraints (BDDC) to these systems. In particular, we formulate the multilevel BDDC method and explore its applicability for the benchmark problem of lid-driven cavity. Another contribution of the paper is describing the development and application of our BDDC solver to real-world problems of oil flow in hydrostatic bearings.
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
<a href="/en/project/GA18-09628S" target="_blank" >GA18-09628S: Advanced flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Scientific Computing
ISSN
1064-8275
e-ISSN
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Volume of the periodical
42
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
"C359"-"C383"
UT code for WoS article
000600650400007
EID of the result in the Scopus database
2-s2.0-85097346698