Improving solve time of aggregation-based adaptive AMG

D'Ambra, Pasqua; Vassilevski, Panayot S.

doi:10.1002/nla.2269

Title: Improving solve time of aggregation-based adaptive AMG

Journal Article · Sun Oct 20 00:00:00 EDT 2019 · Numerical Linear Algebra with Applications

DOI:https://doi.org/10.1002/nla.2269· OSTI ID:1669235

^[1]; Vassilevski, Panayot S. ^[2]

National Research Council (CNR), Naples (Italy). Inst. for Applied Computing
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Center for Applied Scientific Computing; Portland State Univ., OR (United States). Dept. of Mathematics and Statistics

In this paper, we propose improving the solve time of a bootstrap algebraic multigrid (AMG) designed previously by the authors. This is achieved by incorporating the information, a set of algebraically smooth vectors, generated by the bootstrap algorithm, in a single hierarchy by using sufficiently large aggregates, and these aggregates are compositions of aggregates already built throughout the bootstrap algorithm. The modified AMG method has good convergence properties and shows significant reduction in both memory and solve time. These savings with respect to the original bootstrap AMG are illustrated on some difficult (for standard AMG) linear systems arising from discretization of scalar and vector function elliptic partial differential equations in both 2D and 3D.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); European Union (EU); National Science Foundation (NSF)

Grant/Contract Number:: AC52-07NA27344; 824158; DMS-1619640

OSTI ID:: 1669235

Alternate ID(s):: OSTI ID: 1571299

Report Number(s):: LLNL-JRNL-776759; 968776

Journal Information:: Numerical Linear Algebra with Applications, Vol. 26, Issue 6; ISSN 1070-5325

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

Citation information provided by
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