Finite element multigrid preconditioner for Chebyshev-collocation methods

Jie Shen; Feng Wang; Jinchao Xu

doi:10.1016/S0168-9274(99)00114-2

Finite element multigrid preconditioner for Chebyshev-collocation methods

Jie Shen, Feng Wang, Jinchao Xu

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

This paper concerns the iterative solution of the linear system arising from the Chebyshev-collocation approximation of second-order elliptic equations and presents an optimal multigrid preconditioner based on alternating line Gauss-Seidel smoothers for the corresponding stiffness matrix of bilinear finite elements on the Chebyshev-Gauss-Lobatto grid.

Original language	English (US)
Pages (from-to)	471-477
Number of pages	7
Journal	Applied Numerical Mathematics
Volume	33
Issue number	1
DOIs	https://doi.org/10.1016/S0168-9274(99)00114-2
State	Published - Jan 1 2000
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics
Numerical Analysis

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10.1016/S0168-9274(99)00114-2

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abstract = "This paper concerns the iterative solution of the linear system arising from the Chebyshev-collocation approximation of second-order elliptic equations and presents an optimal multigrid preconditioner based on alternating line Gauss-Seidel smoothers for the corresponding stiffness matrix of bilinear finite elements on the Chebyshev-Gauss-Lobatto grid.",

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AU - Xu, Jinchao

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N2 - This paper concerns the iterative solution of the linear system arising from the Chebyshev-collocation approximation of second-order elliptic equations and presents an optimal multigrid preconditioner based on alternating line Gauss-Seidel smoothers for the corresponding stiffness matrix of bilinear finite elements on the Chebyshev-Gauss-Lobatto grid.

AB - This paper concerns the iterative solution of the linear system arising from the Chebyshev-collocation approximation of second-order elliptic equations and presents an optimal multigrid preconditioner based on alternating line Gauss-Seidel smoothers for the corresponding stiffness matrix of bilinear finite elements on the Chebyshev-Gauss-Lobatto grid.

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DO - 10.1016/S0168-9274(99)00114-2

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JO - Applied Numerical Mathematics

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Finite element multigrid preconditioner for Chebyshev-collocation methods

Abstract

Bibliographical note

ASJC Scopus subject areas

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