p-Multigrid for Fekete spectral element method

Victorita Dolean; Richard Pasquetti; Francesca Rapetti

doi:10.1007/978-3-540-75199-1_61

p-Multigrid for Fekete spectral element method

Victorita Dolean^*, Richard Pasquetti, Francesca Rapetti

^*Corresponding author for this work

Mathematics And Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

1 Citation (Scopus)

Abstract

Spectral element approximations based on triangular elements and on the so-called Fekete points of the triangle have been recently developed. p-multigrid methods offer an interesting way to resolve efficiently the resulting ill-conditioned algebraic systems. 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.

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XVII
Editors	Ulrich Langer, Marco Discacciati, David E. Keyes, Olof B. Widlund, Walter Zulehner
Place of Publication	Berlin
Publisher	Springer
Pages	485-492
Number of pages	8
ISBN (Print)	9783540751984, 9783540751991
DOIs	https://doi.org/10.1007/978-3-540-75199-1_61
Publication status	Published - 30 Nov 2007
Event	17th International Conference on Domain Decomposition Methods - St. Wolfgang /Strobl, Austria Duration: 3 Jul 2006 → 7 Jul 2006

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	60
ISSN (Print)	1439-7358

Conference

Conference	17th International Conference on Domain Decomposition Methods
Country/Territory	Austria
City	St. Wolfgang /Strobl
Period	3/07/06 → 7/07/06

Keywords

coarse grid
spectral element
Gauss point
quadrature point
spectral element method

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10.1007/978-3-540-75199-1_61

Cite this

Dolean, V., Pasquetti, R., & Rapetti, F. (2007). p-Multigrid for Fekete spectral element method. In U. Langer, M. Discacciati, D. E. Keyes, O. B. Widlund, & W. Zulehner (Eds.), Domain Decomposition Methods in Science and Engineering XVII (pp. 485-492). (Lecture Notes in Computational Science and Engineering; Vol. 60). Springer. https://doi.org/10.1007/978-3-540-75199-1_61

@inproceedings{1c48b9da56b9449998a0e8d5cc85fd98,

title = "p-Multigrid for Fekete spectral element method",

abstract = "Spectral element approximations based on triangular elements and on the so-called Fekete points of the triangle have been recently developed. p-multigrid methods offer an interesting way to resolve efficiently the resulting ill-conditioned algebraic systems. 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.",

keywords = "coarse grid, spectral element, Gauss point, quadrature point, spectral element method",

author = "Victorita Dolean and Richard Pasquetti and Francesca Rapetti",

year = "2007",

month = nov,

day = "30",

doi = "10.1007/978-3-540-75199-1_61",

language = "English",

isbn = "9783540751984",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer",

pages = "485--492",

editor = "Ulrich Langer and Marco Discacciati and Keyes, {David E.} and Widlund, {Olof B.} and Walter Zulehner",

booktitle = "Domain Decomposition Methods in Science and Engineering XVII",

note = "17th International Conference on Domain Decomposition Methods ; Conference date: 03-07-2006 Through 07-07-2006",

}

Dolean, V, Pasquetti, R & Rapetti, F 2007, p-Multigrid for Fekete spectral element method. in U Langer, M Discacciati, DE Keyes, OB Widlund & W Zulehner (eds), Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, vol. 60, Springer, Berlin, pp. 485-492, 17th International Conference on Domain Decomposition Methods, St. Wolfgang /Strobl, Austria, 3/07/06. https://doi.org/10.1007/978-3-540-75199-1_61

p-Multigrid for Fekete spectral element method. / Dolean, Victorita; Pasquetti, Richard; Rapetti, Francesca.
Domain Decomposition Methods in Science and Engineering XVII. ed. / Ulrich Langer; Marco Discacciati; David E. Keyes; Olof B. Widlund; Walter Zulehner. Berlin: Springer, 2007. p. 485-492 (Lecture Notes in Computational Science and Engineering; Vol. 60).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

TY - GEN

T1 - p-Multigrid for Fekete spectral element method

AU - Dolean, Victorita

AU - Pasquetti, Richard

AU - Rapetti, Francesca

PY - 2007/11/30

Y1 - 2007/11/30

N2 - Spectral element approximations based on triangular elements and on the so-called Fekete points of the triangle have been recently developed. p-multigrid methods offer an interesting way to resolve efficiently the resulting ill-conditioned algebraic systems. 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.

AB - Spectral element approximations based on triangular elements and on the so-called Fekete points of the triangle have been recently developed. p-multigrid methods offer an interesting way to resolve efficiently the resulting ill-conditioned algebraic systems. 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.

KW - coarse grid

KW - spectral element

KW - Gauss point

KW - quadrature point

KW - spectral element method

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DO - 10.1007/978-3-540-75199-1_61

M3 - Conference contribution book

AN - SCOPUS:77949607841

SN - 9783540751984

SN - 9783540751991

T3 - Lecture Notes in Computational Science and Engineering

SP - 485

EP - 492

BT - Domain Decomposition Methods in Science and Engineering XVII

A2 - Langer, Ulrich

A2 - Discacciati, Marco

A2 - Keyes, David E.

A2 - Widlund, Olof B.

A2 - Zulehner, Walter

PB - Springer

CY - Berlin

T2 - 17th International Conference on Domain Decomposition Methods

Y2 - 3 July 2006 through 7 July 2006

ER -

p-Multigrid for Fekete spectral element method

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