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 › Conference article › peer-review

21 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 - May 2000
Event	The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998) - Herzliya, Isr Duration: Jun 22 1998 → Jun 26 1998

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/S0168-9274(99)00114-2

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title = "Finite element multigrid preconditioner for Chebyshev-collocation methods",

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.",

author = "Jie Shen and Feng Wang and Jinchao Xu",

note = "Funding Information: ∗ Corresponding author. E-mail: [email protected] 1Partially supported by NFS grants DMS-9603200, DMS-9706951 and by the Texas Institute of Computational and Applied Mathematics. 2 Partially supported by NSF grants DMS-9706949, ACI-9800244 and NASA grant NAG2-1236.; The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998) ; Conference date: 22-06-1998 Through 26-06-1998",

year = "2000",

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doi = "10.1016/S0168-9274(99)00114-2",

language = "English (US)",

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pages = "471--477",

journal = "Applied Numerical Mathematics",

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T1 - Finite element multigrid preconditioner for Chebyshev-collocation methods

AU - Shen, Jie

AU - Wang, Feng

AU - Xu, Jinchao

N1 - Funding Information: ∗ Corresponding author. E-mail: [email protected] 1Partially supported by NFS grants DMS-9603200, DMS-9706951 and by the Texas Institute of Computational and Applied Mathematics. 2 Partially supported by NSF grants DMS-9706949, ACI-9800244 and NASA grant NAG2-1236.

PY - 2000/5

Y1 - 2000/5

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.

UR - https://www.scopus.com/pages/publications/0034190393

UR - https://www.scopus.com/pages/publications/0034190393#tab=citedBy

U2 - 10.1016/S0168-9274(99)00114-2

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

M3 - Conference article

AN - SCOPUS:0034190393

SN - 0168-9274

VL - 33

SP - 471

EP - 477

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 1

T2 - The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998)

Y2 - 22 June 1998 through 26 June 1998

ER -

Finite element multigrid preconditioner for Chebyshev-collocation methods

Abstract

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