Mortar spectral method in axisymmetric domains

Saloua Mani Aouadi; Jamil Satouri

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2013)

  • Volume: 47, Issue: 1, page 33-55
  • ISSN: 0764-583X

Abstract

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We consider the Laplace equation posed in a three-dimensional axisymmetric domain. We reduce the original problem by a Fourier expansion in the angular variable to a countable family of two-dimensional problems. We decompose the meridian domain, assumed polygonal, in a finite number of rectangles and we discretize by a spectral method. Then we describe the main features of the mortar method and use the algorithm Strang Fix to improve the accuracy of our discretization.

How to cite

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Mani Aouadi, Saloua, and Satouri, Jamil. "Mortar spectral method in axisymmetric domains." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 47.1 (2013): 33-55. <http://eudml.org/doc/273146>.

@article{ManiAouadi2013,
abstract = {We consider the Laplace equation posed in a three-dimensional axisymmetric domain. We reduce the original problem by a Fourier expansion in the angular variable to a countable family of two-dimensional problems. We decompose the meridian domain, assumed polygonal, in a finite number of rectangles and we discretize by a spectral method. Then we describe the main features of the mortar method and use the algorithm Strang Fix to improve the accuracy of our discretization.},
author = {Mani Aouadi, Saloua, Satouri, Jamil},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {axisymmetric domains; mortar method; spectral methods; Laplace equation; Fourier expansion; a priori error estimates; numerical experiments; convergence},
language = {eng},
number = {1},
pages = {33-55},
publisher = {EDP-Sciences},
title = {Mortar spectral method in axisymmetric domains},
url = {http://eudml.org/doc/273146},
volume = {47},
year = {2013},
}

TY - JOUR
AU - Mani Aouadi, Saloua
AU - Satouri, Jamil
TI - Mortar spectral method in axisymmetric domains
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2013
PB - EDP-Sciences
VL - 47
IS - 1
SP - 33
EP - 55
AB - We consider the Laplace equation posed in a three-dimensional axisymmetric domain. We reduce the original problem by a Fourier expansion in the angular variable to a countable family of two-dimensional problems. We decompose the meridian domain, assumed polygonal, in a finite number of rectangles and we discretize by a spectral method. Then we describe the main features of the mortar method and use the algorithm Strang Fix to improve the accuracy of our discretization.
LA - eng
KW - axisymmetric domains; mortar method; spectral methods; Laplace equation; Fourier expansion; a priori error estimates; numerical experiments; convergence
UR - http://eudml.org/doc/273146
ER -

References

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