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.
@article{M2AN_2013__47_1_33_0,
author = {Mani Aouadi, Saloua and Satouri, Jamil},
title = {Mortar spectral method in axisymmetric domains},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {47},
year = {2013},
pages = {33-55},
doi = {10.1051/m2an/2012018},
mrnumber = {2968694},
zbl = {1277.65101},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2013__47_1_33_0}
}
Mani Aouadi, Saloua; Satouri, Jamil. Mortar spectral method in axisymmetric domains. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 47 (2013) pp. 33-55. doi : 10.1051/m2an/2012018. http://gdmltest.u-ga.fr/item/M2AN_2013__47_1_33_0/
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