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