p-Multigrid for Fekete spectral element method

Victorita Dolean (1) , Richard Pasquetti (1) , Francesca Rapetti (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

Spectral element approximations based on triangular elements and the so-called Fekete points of the triangle have been recently developed. p-Multigrid methods offer an interesting way to solve efficiently the resulting ill-conditionned algebraic system. For elliptic problems it is shown that a well-chosen restriction operator and a good set up of the coarse grid matrices may lead to valuable results even with a standard Gauss-Seidel smoother.

Domaines: Analyse numérique [math.NA]

Victorita Dolean, Richard Pasquetti, Francesca Rapetti. p-Multigrid for Fekete spectral element method. U. Langer, M. Discacciati, D.E. Keyes, O.B. Widlund, W. Zulehner (Eds.). Domain Decomposition Methods in Science and Engineering XVII, Springer Verlag, 2008, LNCSE. ⟨hal-00173978⟩