Volume 5, Issue 2-4
p-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems

Richard Pasquetti & Francesca Rapetti

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

Published online: 2009-02

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  • 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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@Article{CiCP-5-667, author = {}, title = {p-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems}, journal = {Communications in Computational Physics}, year = {2009}, volume = {5}, number = {2-4}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7756.html} }
TY - JOUR T1 - p-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems JO - Communications in Computational Physics VL - 2-4 SP - 667 EP - 682 PY - 2009 DA - 2009/02 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7756.html KW - AB -

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.

Richard Pasquetti & Francesca Rapetti. (2020). p-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems. Communications in Computational Physics. 5 (2-4). 667-682. doi:
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