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Mortar spectral method in axisymmetric domains

Published online by Cambridge University Press:  31 July 2012

Saloua Mani Aouadi  and
Jamil Satouri
Saloua Mani Aouadi
Affiliation:
Faculty of Sciences of Tunis, University Tunis El Manar, 2090 Tunis, Tunisia. saloua.mani@fst.rnu.tn
Jamil Satouri
Affiliation:
Faculty of Sciences of Tunis, University Tunis El Manar, 2090 Tunis, Tunisia. saloua.mani@fst.rnu.tn
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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.

Keywords

Axisymmetric domainsmortar methodspectral methodsLaplace equation
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 47 , Issue 1 , January 2013 , pp. 33 - 55
Copyright
© EDP Sciences, SMAI, 2012

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