| Issue |
ESAIM: M2AN
Volume 47, Number 1, January-February 2013
|
|
|---|---|---|
| Page(s) | 33 - 55 | |
| DOI | https://doi.org/10.1051/m2an/2012018 | |
| Published online | 31 July 2012 | |
Mortar spectral method in axisymmetric domains
Faculty of Sciences of Tunis, University Tunis El
Manar, 2090
Tunis,
Tunisia
saloua.mani@fst.rnu.tn
Received:
14
December
2010
Revised:
20
January
2012
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.
Mathematics Subject Classification: 65N35 / 65N55
Key words: Axisymmetric domains / mortar method / spectral methods / Laplace equation
© EDP Sciences, SMAI, 2012
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