Multilevel algebraic elliptic solvers

Tony F. Chan; Petr Vanĕk

doi:10.1007/bfb0100661

Multilevel algebraic elliptic solvers

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We survey some of the recent research in developing multilevel algebraic solvers for elliptic problems. A key concept is the design of a hierarchy of coarse spaces and related interpolation operators which together satisfy certain approximation and stability properties to ensure the rapid convergence of the resulting multigrid algorithms. We will discuss smoothed agglomeration methods, harmonic extension methods, and global energy minimization methods for the construction of these coarse spaces and interpolation operators.

Original language	English (US)
Title of host publication	High-Performance Computing and Networking - 7th International Conference, HPCN Europe 1999, Proceedings
Editors	Peter Sloot, Alfons Hoekstra, Bob Hertzberger, Marian Bubak
Publisher	Springer Verlag
Pages	1001-1014
Number of pages	14
ISBN (Print)	3540658211, 9783540658214
DOIs	https://doi.org/10.1007/bfb0100661
State	Published - 1999
Externally published	Yes
Event	7th International Conference on High-Performance Computing and Networking, HPCN Europe 1999 - Amsterdam, Netherlands Duration: Apr 12 1999 → Apr 14 1999

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	1593
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	7th International Conference on High-Performance Computing and Networking, HPCN Europe 1999
Country/Territory	Netherlands
City	Amsterdam
Period	04/12/99 → 04/14/99

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1999.

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/bfb0100661

Cite this

Chan, T. F., & Vanĕk, P. (1999). Multilevel algebraic elliptic solvers. In P. Sloot, A. Hoekstra, B. Hertzberger, & M. Bubak (Eds.), High-Performance Computing and Networking - 7th International Conference, HPCN Europe 1999, Proceedings (pp. 1001-1014). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1593). Springer Verlag. https://doi.org/10.1007/bfb0100661

Chan, Tony F. ; Vanĕk, Petr. / Multilevel algebraic elliptic solvers. High-Performance Computing and Networking - 7th International Conference, HPCN Europe 1999, Proceedings. editor / Peter Sloot ; Alfons Hoekstra ; Bob Hertzberger ; Marian Bubak. Springer Verlag, 1999. pp. 1001-1014 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Multilevel algebraic elliptic solvers",

abstract = "We survey some of the recent research in developing multilevel algebraic solvers for elliptic problems. A key concept is the design of a hierarchy of coarse spaces and related interpolation operators which together satisfy certain approximation and stability properties to ensure the rapid convergence of the resulting multigrid algorithms. We will discuss smoothed agglomeration methods, harmonic extension methods, and global energy minimization methods for the construction of these coarse spaces and interpolation operators.",

author = "Chan, {Tony F.} and Petr Vanĕk",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1999.; 7th International Conference on High-Performance Computing and Networking, HPCN Europe 1999 ; Conference date: 12-04-1999 Through 14-04-1999",

year = "1999",

doi = "10.1007/bfb0100661",

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isbn = "3540658211",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "1001--1014",

editor = "Peter Sloot and Alfons Hoekstra and Bob Hertzberger and Marian Bubak",

booktitle = "High-Performance Computing and Networking - 7th International Conference, HPCN Europe 1999, Proceedings",

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Chan, TF & Vanĕk, P 1999, Multilevel algebraic elliptic solvers. in P Sloot, A Hoekstra, B Hertzberger & M Bubak (eds), High-Performance Computing and Networking - 7th International Conference, HPCN Europe 1999, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1593, Springer Verlag, pp. 1001-1014, 7th International Conference on High-Performance Computing and Networking, HPCN Europe 1999, Amsterdam, Netherlands, 04/12/99. https://doi.org/10.1007/bfb0100661

Multilevel algebraic elliptic solvers. / Chan, Tony F.; Vanĕk, Petr.
High-Performance Computing and Networking - 7th International Conference, HPCN Europe 1999, Proceedings. ed. / Peter Sloot; Alfons Hoekstra; Bob Hertzberger; Marian Bubak. Springer Verlag, 1999. p. 1001-1014 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1593).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Chan, Tony F.

AU - Vanĕk, Petr

N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 1999.

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AB - We survey some of the recent research in developing multilevel algebraic solvers for elliptic problems. A key concept is the design of a hierarchy of coarse spaces and related interpolation operators which together satisfy certain approximation and stability properties to ensure the rapid convergence of the resulting multigrid algorithms. We will discuss smoothed agglomeration methods, harmonic extension methods, and global energy minimization methods for the construction of these coarse spaces and interpolation operators.

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SN - 3540658211

SN - 9783540658214

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - High-Performance Computing and Networking - 7th International Conference, HPCN Europe 1999, Proceedings

A2 - Sloot, Peter

A2 - Hoekstra, Alfons

A2 - Hertzberger, Bob

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Chan TF, Vanĕk P. Multilevel algebraic elliptic solvers. In Sloot P, Hoekstra A, Hertzberger B, Bubak M, editors, High-Performance Computing and Networking - 7th International Conference, HPCN Europe 1999, Proceedings. Springer Verlag. 1999. p. 1001-1014. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/bfb0100661

Multilevel algebraic elliptic solvers

Abstract

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Bibliographical note

ASJC Scopus subject areas

Access to Document

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