A new formulation of the Stokes problem in a cylinder, and its spectral discretization
Nehla Abdellatif; Christine Bernardi
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 38, Issue: 5, page 781-810
- ISSN: 0764-583X
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topAbdellatif, Nehla, and Bernardi, Christine. "A new formulation of the Stokes problem in a cylinder, and its spectral discretization." ESAIM: Mathematical Modelling and Numerical Analysis 38.5 (2010): 781-810. <http://eudml.org/doc/194240>.
@article{Abdellatif2010,
abstract = {
We analyze a new formulation of the Stokes equations in
three-dimensional axisymmetric geometries, relying on Fourier expansion with respect to
the angular variable: the problem for each Fourier coefficient is two-dimensional and has
six scalar unknowns, corresponding to the vector potential and the vorticity. A
spectral discretization is built on this formulation, which leads to an exactly
divergence-free discrete velocity. We prove optimal error estimates.
},
author = {Abdellatif, Nehla, Bernardi, Christine},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Stokes problem; spectral methods; axisymmetric geometries.; Fourier expansion; vector potential; optimal error estimates},
language = {eng},
month = {3},
number = {5},
pages = {781-810},
publisher = {EDP Sciences},
title = {A new formulation of the Stokes problem in a cylinder, and its spectral discretization},
url = {http://eudml.org/doc/194240},
volume = {38},
year = {2010},
}
TY - JOUR
AU - Abdellatif, Nehla
AU - Bernardi, Christine
TI - A new formulation of the Stokes problem in a cylinder, and its spectral discretization
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 38
IS - 5
SP - 781
EP - 810
AB -
We analyze a new formulation of the Stokes equations in
three-dimensional axisymmetric geometries, relying on Fourier expansion with respect to
the angular variable: the problem for each Fourier coefficient is two-dimensional and has
six scalar unknowns, corresponding to the vector potential and the vorticity. A
spectral discretization is built on this formulation, which leads to an exactly
divergence-free discrete velocity. We prove optimal error estimates.
LA - eng
KW - Stokes problem; spectral methods; axisymmetric geometries.; Fourier expansion; vector potential; optimal error estimates
UR - http://eudml.org/doc/194240
ER -
References
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