Geodesic
Mortar spectral method in axisymmetric domains
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 47 (2013) no. 1, pp. 33-55

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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.

DOI : 10.1051/m2an/2012018
Classification : 65N35, 65N55
Keywords: axisymmetric domains, mortar method, spectral methods, Laplace equation 
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     author = {Mani Aouadi, Saloua and Satouri, Jamil},
     title = {Mortar spectral method in axisymmetric domains},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {33--55},
     publisher = {EDP-Sciences},
     volume = {47},
     number = {1},
     year = {2013},
     doi = {10.1051/m2an/2012018},
     mrnumber = {2968694},
     zbl = {1277.65101},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2012018/}
}
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Mani Aouadi, Saloua; Satouri, Jamil. Mortar spectral method in axisymmetric domains. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 47 (2013) no. 1, pp. 33-55. doi: 10.1051/m2an/2012018

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