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

Mohamed Amara; Christine Bernardi

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 5, page 1033-1056
- ISSN: 0764-583X

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topAmara, 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 -

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