An application of the BDDC method to the Navier-Stokes equations in 3-D cavity

Hanek, Martin, Šístek, Jakub, and Burda, Pavel. "An application of the BDDC method to the Navier-Stokes equations in 3-D cavity." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 77-85. <http://eudml.org/doc/269920>.

@inProceedings{Hanek2015,
abstract = {We deal with numerical simulation of incompressible flow governed by the Navier-Stokes equations. The problem is discretised using the finite element method, and the arising system of nonlinear equations is solved by Picard iteration. We explore the applicability of the Balancing Domain Decomposition by Constraints (BDDC) method to nonsymmetric problems arising from such linearisation. One step of BDDC is applied as the preconditioner for the stabilized variant of the biconjugate gradient (BiCGstab) method. We present results for a 3-D cavity problem computed on 32 cores of a parallel supercomputer.},
author = {Hanek, Martin, Šístek, Jakub, Burda, Pavel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {incompressible fluid; Navier-Stokes equations; BDDC; Taylor-Hood finite element},
location = {Prague},
pages = {77-85},
publisher = {Institute of Mathematics AS CR},
title = {An application of the BDDC method to the Navier-Stokes equations in 3-D cavity},
url = {http://eudml.org/doc/269920},
year = {2015},
}

TY - CLSWK
AU - Hanek, Martin
AU - Šístek, Jakub
AU - Burda, Pavel
TI - An application of the BDDC method to the Navier-Stokes equations in 3-D cavity
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2015
CY - Prague
PB - Institute of Mathematics AS CR
SP - 77
EP - 85
AB - We deal with numerical simulation of incompressible flow governed by the Navier-Stokes equations. The problem is discretised using the finite element method, and the arising system of nonlinear equations is solved by Picard iteration. We explore the applicability of the Balancing Domain Decomposition by Constraints (BDDC) method to nonsymmetric problems arising from such linearisation. One step of BDDC is applied as the preconditioner for the stabilized variant of the biconjugate gradient (BiCGstab) method. We present results for a 3-D cavity problem computed on 32 cores of a parallel supercomputer.
KW - incompressible fluid; Navier-Stokes equations; BDDC; Taylor-Hood finite element
UR - http://eudml.org/doc/269920
ER -