p-Multigrid for Fekete spectral element method

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00173978
Contributor : Victorita Dolean <>
Submitted on : Friday, September 21, 2007 - 11:17:44 AM
Last modification on : Friday, January 12, 2018 - 1:51:26 AM
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  • HAL Id : hal-00173978, version 1

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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⟩

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