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International Journal of Computer Mathematics Volume 78, 2001 - Issue 4
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Original Articles

Algebraic multigrid methods based on element preconditioning

G Haase Department of Computational Mathematics and Optimization, Institute for Analysis and Computational Mathematics
,
U. Langer Department of Computational Mathematics and Optimization, Institute for Analysis and Computational MathematicsCorrespondence[email protected]
,
S. Reitzinger Special Research Program, Numerical and Symbolic Scientific Computing, (SFB) F013
&
J. Schöberl Special Research Program, Numerical and Symbolic Scientific Computing, (SFB) F013
Pages 575-598 | Received 20 Sep 2000, Published online: 10 Jun 2010

Citations (17)

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Gundolf Haase, Manfred Liebmann & Gernot Plank. (2007) A Hilbert-order multiplication scheme for unstructured sparse matrices. International Journal of Parallel, Emergent and Distributed Systems 22:4, pages 213-220.
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Articles from other publishers (16)

Lukas Kogler & Joachim Schöberl. (2021) An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices. Numerical Linear Algebra with Applications 29:1.
Crossref
Wolfgang Hackbusch. 2017. Encyclopedia of Computational Mechanics Second Edition. Encyclopedia of Computational Mechanics Second Edition 1 17 .
Karl Ljungkvist, Martin Tillenius, David Black-Schaffer, Sverker Holmgren, Martin Karlsson & Elisabeth Larsson. (2011) Using Hardware Transactional Memory for High-Performance Computing. Using Hardware Transactional Memory for High-Performance Computing.
E. Karer & J. K. Kraus. (2010) Algebraic multigrid for finite element elasticity equations: Determination of nodal dependence via edge‐matrices and two‐level convergence. International Journal for Numerical Methods in Engineering 83:5, pages 642-670.
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Owe Axelsson, Radim Blaheta & Maya Neytcheva. (2009) Preconditioning of Boundary Value Problems Using Elementwise Schur Complements. SIAM Journal on Matrix Analysis and Applications 31:2, pages 767-789.
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Haim Avron, Doron Chen, Gil Shklarski & Sivan Toledo. (2009) Combinatorial Preconditioners for Scalar Elliptic Finite-Element Problems. SIAM Journal on Matrix Analysis and Applications 31:2, pages 694-720.
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J. K. Kraus. (2008) Algebraic Multigrid Based on Computational Molecules, 2: Linear Elasticity Problems. SIAM Journal on Scientific Computing 30:1, pages 505-524.
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E.J. Vigmond, R. Weber dos Santos, A.J. Prassl, M. Deo & G. Plank. (2008) Solvers for the cardiac bidomain equations. Progress in Biophysics and Molecular Biology 96:1-3, pages 3-18.
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Randolph E. Bank. (2007) Compatible coarsening in the multigraph algorithm. Advances in Engineering Software 38:5, pages 287-294.
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J. K. Kraus & J. Schicho. (2006) Algebraic Multigrid Based on Computational Molecules, 1: Scalar Elliptic Problems. Computing 77:1, pages 57-75.
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J. K. Kraus. 2006. Large-Scale Scientific Computing. Large-Scale Scientific Computing 121 129 .
Gundolf Haase & Stefan Reitzinger. (2005) Cache Issues of Algebraic Multigrid Methods for Linear Systems with Multiple Right-Hand Sides. SIAM Journal on Scientific Computing 27:1, pages 1-18.
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Wolfgang Hackbusch. 2004. Encyclopedia of Computational Mechanics. Encyclopedia of Computational Mechanics.
CRAIG C. DOUGLAS, GUNDOLF HAASE, MOHAMED ISKANDARANI & STEFAN REITZINGER. (2011) SPECIAL SOLUTION STRATEGIES INSIDE A SPECTRAL ELEMENT OCEAN MODEL. Mathematical Models and Methods in Applied Sciences 13:03, pages 309-322.
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Ulrich Langer, Stefan Reitzinger & Josef Schicho. 2003. Symbolic and Numerical Scientific Computation. Symbolic and Numerical Scientific Computation 293 308 .
Gundolf Haase, Michael Kuhn & Stefan Reitzinger. (2002) Parallel Algebraic Multigrid Methods on Distributed Memory Computers. SIAM Journal on Scientific Computing 24:2, pages 410-427.
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