<em>p</em>-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems

<em>p</em>-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems

Year:    2009

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 667–682

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CiCP-7756

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 667–682

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords: