Parallel multigrid method for solving elliptic equations

The proposed algorithm represents an efficient parallel implementation of the Fedorenko multigrid method and is intended for solving three-dimensional elliptic equations. Scalability is provided by the use of the Chebyshev iterations for solution of the coarsest grid equations and for construction o...

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Veröffentlicht in:Mathematical models and computer simulations Jg. 6; H. 4; S. 425 - 434
Hauptverfasser: Zhukov, V. T., Novikova, N. D., Feodoritova, O. B.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Moscow Pleiades Publishing 01.07.2014
Schlagworte:
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Simulation and Modeling
Chebyshev iteration
numerical simulation
multigrid method
three-dimensional elliptic equations
parallel implementation
ISSN:2070-0482, 2070-0490
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:The proposed algorithm represents an efficient parallel implementation of the Fedorenko multigrid method and is intended for solving three-dimensional elliptic equations. Scalability is provided by the use of the Chebyshev iterations for solution of the coarsest grid equations and for construction of the smoothing procedures. The calculation results are given: they confirm the efficiency of the algorithm and scalability of the parallel code.
ISSN:2070-0482
2070-0490
DOI:10.1134/S2070048214040103