Extending the applicability of multigrid methods

J. Brannick; M. Brezina; R. Falgout; T. Manteuffel; S. McCormick; J. Ruge; B. Sheehan; J. Xu; L. Zikatanov

doi:10.1088/1742-6596/46/1/061

Extending the applicability of multigrid methods

J. Brannick, M. Brezina, R. Falgout, T. Manteuffel, S. McCormick, J. Ruge, B. Sheehan, J. Xu, L. Zikatanov

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

6 Scopus citations

Abstract

Multigrid methods are ideal for solving the increasingly large-scale problems that arise in numerical simulations of physical phenomena because of their potential for computational costs and memory requirements that scale linearly with the degrees of freedom. Unfortunately, they have been historically limited by their applicability to elliptic-type problems and the need for special handling in their implementation. In this paper, we present an overview of several recent theoretical and algorithmic advances made by the TOPS multigrid partners and their collaborators in extending applicability of multigrid methods. specific examples that are presented include quantum chromodynamics, radiation transport, and electromagnetics. © 2006 IOP Publishing Ltd.

Original language	English (US)
Title of host publication	Journal of Physics: Conference Series
Publisher	Institute of Physics [email protected]
Pages	443-452
Number of pages	10
DOIs	https://doi.org/10.1088/1742-6596/46/1/061
State	Published - Oct 1 2006
Externally published	Yes

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

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abstract = "Multigrid methods are ideal for solving the increasingly large-scale problems that arise in numerical simulations of physical phenomena because of their potential for computational costs and memory requirements that scale linearly with the degrees of freedom. Unfortunately, they have been historically limited by their applicability to elliptic-type problems and the need for special handling in their implementation. In this paper, we present an overview of several recent theoretical and algorithmic advances made by the TOPS multigrid partners and their collaborators in extending applicability of multigrid methods. specific examples that are presented include quantum chromodynamics, radiation transport, and electromagnetics. {\textcopyright} 2006 IOP Publishing Ltd.",

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AU - Brannick, J.

AU - Brezina, M.

AU - Falgout, R.

AU - Manteuffel, T.

AU - McCormick, S.

AU - Ruge, J.

AU - Sheehan, B.

AU - Xu, J.

AU - Zikatanov, L.

N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15

PY - 2006/10/1

Y1 - 2006/10/1

N2 - Multigrid methods are ideal for solving the increasingly large-scale problems that arise in numerical simulations of physical phenomena because of their potential for computational costs and memory requirements that scale linearly with the degrees of freedom. Unfortunately, they have been historically limited by their applicability to elliptic-type problems and the need for special handling in their implementation. In this paper, we present an overview of several recent theoretical and algorithmic advances made by the TOPS multigrid partners and their collaborators in extending applicability of multigrid methods. specific examples that are presented include quantum chromodynamics, radiation transport, and electromagnetics. © 2006 IOP Publishing Ltd.

AB - Multigrid methods are ideal for solving the increasingly large-scale problems that arise in numerical simulations of physical phenomena because of their potential for computational costs and memory requirements that scale linearly with the degrees of freedom. Unfortunately, they have been historically limited by their applicability to elliptic-type problems and the need for special handling in their implementation. In this paper, we present an overview of several recent theoretical and algorithmic advances made by the TOPS multigrid partners and their collaborators in extending applicability of multigrid methods. specific examples that are presented include quantum chromodynamics, radiation transport, and electromagnetics. © 2006 IOP Publishing Ltd.

UR - https://iopscience.iop.org/article/10.1088/1742-6596/46/1/061

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DO - 10.1088/1742-6596/46/1/061

M3 - Conference contribution

SP - 443

EP - 452

BT - Journal of Physics: Conference Series

PB - Institute of Physics [email protected]

ER -

Extending the applicability of multigrid methods

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