Volume 47, Number 1, January-February 2013
|Page(s)||33 - 55|
|Published online||31 July 2012|
Mortar spectral method in axisymmetric domains
Faculty of Sciences of Tunis, University Tunis El
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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