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axisymmetric domains

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Mortar spectral method in axisymmetric domains
Saloua Mani Aouadi, Jamil Satouri
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 1 / January 2013

Published online by Cambridge University Press:

31 July 2012, pp. 33-55

Print publication:

January 2013
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We consider the Laplace equation posed in a three-dimensional axisymmetric domain. Wereduce the original problem by a Fourier expansion in the angular variable to a countablefamily 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 describethe main features of the mortar method and use the algorithm Strang Fix to improve theaccuracy of our discretization.