Parallel Multilevel Methods

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Adaptive Mesh Refinement and Loadbalancing, Advances in Numerical Mathematics

ISBN: 3519004518
ISBN 13: 9783519004516
Autor: Zumbusch, Gerhard
Verlag: Springer Vieweg
Umfang: 216 S., 22 s/w Illustr., 216 p. 22 illus.
Erscheinungsdatum: 26.11.2003
Auflage: 1/2003
Produktform: Kartoniert
Einband: Kartoniert

Paralleles Rechnen – Mehrgitterverfahren und Adaptive Gitterverfeinerung

Main aspects of the efficient treatment of partial differential equations are discretisation, multilevel/multigrid solution and parallelisation. These distinct topics are coverd from the historical background to modern developments. It is demonstrated how the ingredients can be put together to give an adaptive and parallel multilevel approach for the solution of elliptic boundary value problems. Error estimators and adaptive grid refinement techniques for ordinary and for sparse grid discretisations are presented. Different types of additive and multiplicative multilevel solvers are discussed with respect to parallel implementation and application to adaptive refined grids. Efficiency issues are treated both for the sequential multilevel methods and for the parallel version by hash table storage techniques. Finally, space-filling curve enumeration for parallel load balancing and processor cache efficiency are discussed.

Beschreibung

Main aspects of the efficient treatment of partial differential equations are discretisation, multilevel/multigrid solution and parallelisation. These distinct topics are covered from the historical background to modern developments.

Autorenporträt

Prof. Dr. Gerhard Zumbusch, Universität Jena

Herstellerkennzeichnung:


Springer Vieweg in Springer Science + Business Media
Abraham-Lincoln-Straße 46
65189 Wiesbaden
DE

E-Mail: juergen.hartmann@springer.com

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