Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision

Burda, Pavel, Novotný, Jaroslav, and Šístek, Jakub. "Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 43-54. <http://eudml.org/doc/287806>.

@inProceedings{Burda2012,
abstract = {We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution.},
author = {Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub},
booktitle = {Applications of Mathematics 2012},
keywords = {Navier-Stokes equations; corner singularities; finite element method; numerical results},
location = {Prague},
pages = {43-54},
publisher = {Institute of Mathematics AS CR},
title = {Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision},
url = {http://eudml.org/doc/287806},
year = {2012},
}

TY - CLSWK
AU - Burda, Pavel
AU - Novotný, Jaroslav
AU - Šístek, Jakub
TI - Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 43
EP - 54
AB - We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution.
KW - Navier-Stokes equations; corner singularities; finite element method; numerical results
UR - http://eudml.org/doc/287806
ER -