# Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem

Karima Amoura; Christine Bernardi; Nejmeddine Chorfi

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

- Volume: 40, Issue: 5, page 897-921
- ISSN: 0764-583X

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topAmoura, Karima, Bernardi, Christine, and Chorfi, Nejmeddine. "Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem." ESAIM: Mathematical Modelling and Numerical Analysis 40.5 (2007): 897-921. <http://eudml.org/doc/194340>.

@article{Amoura2007,

abstract = {
We consider the Stokes problem provided with non standard boundary conditions which involve the normal component of the velocity and the tangential components of the vorticity. We write a variational formulation of this problem with three independent unknowns: the vorticity, the velocity and the pressure. Next we propose a discretization by spectral element methods which relies on this formulation. A detailed numerical analysis leads to optimal error estimates for the three unknowns and numerical experiments confirm the interest of the discretization.
},

author = {Amoura, Karima, Bernardi, Christine, Chorfi, Nejmeddine},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Stokes problem; vorticity; velocity and pressure formulation; spectral element methods.; variational formulation; optimal error estimates},

language = {eng},

month = {1},

number = {5},

pages = {897-921},

publisher = {EDP Sciences},

title = {Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem},

url = {http://eudml.org/doc/194340},

volume = {40},

year = {2007},

}

TY - JOUR

AU - Amoura, Karima

AU - Bernardi, Christine

AU - Chorfi, Nejmeddine

TI - Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2007/1//

PB - EDP Sciences

VL - 40

IS - 5

SP - 897

EP - 921

AB -
We consider the Stokes problem provided with non standard boundary conditions which involve the normal component of the velocity and the tangential components of the vorticity. We write a variational formulation of this problem with three independent unknowns: the vorticity, the velocity and the pressure. Next we propose a discretization by spectral element methods which relies on this formulation. A detailed numerical analysis leads to optimal error estimates for the three unknowns and numerical experiments confirm the interest of the discretization.

LA - eng

KW - Stokes problem; vorticity; velocity and pressure formulation; spectral element methods.; variational formulation; optimal error estimates

UR - http://eudml.org/doc/194340

ER -

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