Commun. Comput. Phys., 5 (2009), pp. 667-682.

p-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems

Richard Pasquetti 1*, Francesca Rapetti 1

1 Laboratoire J.A. Dieudonne, UMR 6621 CNRS, Universite de Nice Sophia-Antipolis, Parc Valrose, 06108 Nice cedex 02, France.

Received 28 September 2007; Accepted (in revised version) 8 January 2008
Available online 1 August 2008


An efficient p-multigrid method is developed to solve the algebraic systems which result from the approximation of elliptic problems with the so-called Fekete-Gauss Spectral Element Method, which makes use of the Fekete points of the triangle as interpolation points and of the Gauss points as quadrature points. A multigrid strategy is defined by comparison of different prolongation/restriction operators and coarse grid algebraic systems. The efficiency and robustness of the approach, with respect to the type of boundary condition and to the structured/unstructured nature of the mesh, are highlighted through numerical examples.

AMS subject classifications: 65N30, 65N35, 65N55

Notice: Undefined variable: pac in /var/www/html/issue/abstract/readabs.php on line 164
Key words: Spectral elements, Fekete points, multigrid methods.

*Corresponding author.
Email: (R. Pasquetti), (F. Rapetti)

The Global Science Journal