Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation

Amara, Mohamed, and Bernardi, Christine. "Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation." ESAIM: Mathematical Modelling and Numerical Analysis 33.5 (2010): 1033-1056. <http://eudml.org/doc/197518>.

@article{Amara2010,
abstract = { The standard discretization of the Stokes and Navier–Stokes equations in vorticity and stream function formulation by affine finite elements is known for its bad convergence. We present here a modified discretization, we prove that the convergence is improved and we establish a priori error estimates. },
author = {Amara, Mohamed, Bernardi, Christine},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Navier–Stokes equations; finite elements.; improved convergence; Stokes equations; stream function and vorticity formulation; well-posedness; mortar element discretization; higher-order discretizations; Navier-Stokes equations; affine finite elements; a priori error estimates},
language = {eng},
month = {3},
number = {5},
pages = {1033-1056},
publisher = {EDP Sciences},
title = {Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation},
url = {http://eudml.org/doc/197518},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Amara, Mohamed
AU - Bernardi, Christine
TI - Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 5
SP - 1033
EP - 1056
AB - The standard discretization of the Stokes and Navier–Stokes equations in vorticity and stream function formulation by affine finite elements is known for its bad convergence. We present here a modified discretization, we prove that the convergence is improved and we establish a priori error estimates.
LA - eng
KW - Navier–Stokes equations; finite elements.; improved convergence; Stokes equations; stream function and vorticity formulation; well-posedness; mortar element discretization; higher-order discretizations; Navier-Stokes equations; affine finite elements; a priori error estimates
UR - http://eudml.org/doc/197518
ER -