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This content will become publicly available on October 19, 2020

Title: Improving solve time of aggregation‐based adaptive AMG

Authors:
ORCiD logo [1];  [2]
  1. Institute for Applied Computing “Mauro Picone,” National Research Council Naples Italy
  2. Center for Applied Scientific ComputingLawrence Livermore National Laboratory Livermore California, Fariborz Maseeh Department of Mathematics and StatisticsPortland State University Portland Oregon
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1571299
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Numerical Linear Algebra with Applications
Additional Journal Information:
Journal Name: Numerical Linear Algebra with Applications Journal Volume: 26 Journal Issue: 6; Journal ID: ISSN 1070-5325
Publisher:
Wiley Blackwell (John Wiley & Sons)
Country of Publication:
United Kingdom
Language:
English

Citation Formats

D'Ambra, Pasqua, and Vassilevski, Panayot S. Improving solve time of aggregation‐based adaptive AMG. United Kingdom: N. p., 2019. Web. doi:10.1002/nla.2269.
D'Ambra, Pasqua, & Vassilevski, Panayot S. Improving solve time of aggregation‐based adaptive AMG. United Kingdom. doi:10.1002/nla.2269.
D'Ambra, Pasqua, and Vassilevski, Panayot S. Sun . "Improving solve time of aggregation‐based adaptive AMG". United Kingdom. doi:10.1002/nla.2269.
@article{osti_1571299,
title = {Improving solve time of aggregation‐based adaptive AMG},
author = {D'Ambra, Pasqua and Vassilevski, Panayot S.},
abstractNote = {},
doi = {10.1002/nla.2269},
journal = {Numerical Linear Algebra with Applications},
number = 6,
volume = 26,
place = {United Kingdom},
year = {2019},
month = {10}
}

Journal Article:
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This content will become publicly available on October 19, 2020
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Works referenced in this record:

Improving algebraic multigrid interpolation operators for linear elasticity problems
journal, January 2009

  • Baker, A. H.; Kolev, Tz. V.; Yang, U. M.
  • Numerical Linear Algebra with Applications
  • DOI: 10.1002/nla.688

Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
journal, September 1996


Bootstrap Algebraic Multigrid: Status Report, Open Problems, and Outlook
journal, February 2015

  • Brandt, Achi; Brannick, James; Kahl, Karsten
  • Numerical Mathematics: Theory, Methods and Applications, Vol. 8, Issue 1
  • DOI: 10.4208/nmtma.2015.w06si

Bootstrap AMG
journal, January 2011

  • Brandt, A.; Brannick, J.; Kahl, K.
  • SIAM Journal on Scientific Computing, Vol. 33, Issue 2
  • DOI: 10.1137/090752973

Compatible Relaxation and Coarsening in Algebraic Multigrid
journal, January 2010

  • Brannick, James J.; Falgout, Robert D.
  • SIAM Journal on Scientific Computing, Vol. 32, Issue 3
  • DOI: 10.1137/090772216

Adaptive AMG with coarsening based on compatible weighted matching
journal, April 2013

  • D’Ambra, Pasqua; Vassilevski, Panayot S.
  • Computing and Visualization in Science, Vol. 16, Issue 2
  • DOI: 10.1007/s00791-014-0224-9

An overview of SuperLU: Algorithms, implementation, and user interface
journal, September 2005


BoomerAMG: A parallel algebraic multigrid solver and preconditioner
journal, April 2002


A parallel generalized relaxation method for high-performance image segmentation on GPUs
journal, February 2016

  • D’Ambra, Pasqua; Filippone, Salvatore
  • Journal of Computational and Applied Mathematics, Vol. 293
  • DOI: 10.1016/j.cam.2015.04.035

On Generalizing the Algebraic Multigrid Framework
journal, January 2004

  • Falgout, Robert D.; Vassilevski, Panayot S.
  • SIAM Journal on Numerical Analysis, Vol. 42, Issue 4
  • DOI: 10.1137/S0036142903429742

AMG for problems of elasticity
journal, July 1986


On the use of suboptimal matchings for scaling and ordering sparse symmetric matrices: SCALING OF SPARSE SYMMETRIC MATRICES USING AN AUCTION ALGORITHM
journal, March 2015

  • Hogg, Jonathan; Scott, Jennifer
  • Numerical Linear Algebra with Applications, Vol. 22, Issue 4
  • DOI: 10.1002/nla.1978

Algebraic multigrid methods
journal, May 2017


Coarsening by compatible relaxation
journal, March 2004

  • Livne, O. E.
  • Numerical Linear Algebra with Applications, Vol. 11, Issue 23
  • DOI: 10.1002/nla.378

AMG by element agglomeration and constrained energy minimization interpolation
journal, January 2006

  • Kolev, Tzanio V.; Vassilevski, Panayot S.
  • Numerical Linear Algebra with Applications, Vol. 13, Issue 9
  • DOI: 10.1002/nla.494

Algebraic Multigrid Based on Computational Molecules, 2: Linear Elasticity Problems
journal, January 2008

  • Kraus, J. K.
  • SIAM Journal on Scientific Computing, Vol. 30, Issue 1
  • DOI: 10.1137/050641156

Spectral AMGe ($\rho$AMGe)
journal, January 2003

  • Chartier, T.; Falgout, R. D.; Henson, V. E.
  • SIAM Journal on Scientific Computing, Vol. 25, Issue 1
  • DOI: 10.1137/S106482750139892X

On Algorithms For Permuting Large Entries to the Diagonal of a Sparse Matrix
journal, January 2001


AMGE Based on Element Agglomeration
journal, January 2001

  • Jones, Jim E.; Vassilevski, Panayot S.
  • SIAM Journal on Scientific Computing, Vol. 23, Issue 1
  • DOI: 10.1137/S1064827599361047

An Aggregation Multilevel Method Using Smooth Error Vectors
journal, January 2006

  • Chow, Edmond
  • SIAM Journal on Scientific Computing, Vol. 27, Issue 5
  • DOI: 10.1137/040608192

Weighted Matchings for Preconditioning Symmetric Indefinite Linear Systems
journal, January 2006

  • Hagemann, Michael; Schenk, Olaf
  • SIAM Journal on Scientific Computing, Vol. 28, Issue 2
  • DOI: 10.1137/040615614

Adaptive Algebraic Multigrid
journal, January 2006

  • Brezina, M.; Falgout, R.; MacLachlan, S.
  • SIAM Journal on Scientific Computing, Vol. 27, Issue 4
  • DOI: 10.1137/040614402