Parallel Multilevel Methods: Adaptive Mesh Refinement and Loadbalancing (Advances in Numerical Mathematics) - Softcover

Zumbusch, Gerhard

 
9783519004516: Parallel Multilevel Methods: Adaptive Mesh Refinement and Loadbalancing (Advances in Numerical Mathematics)

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Paralleles Rechnen - Mehrgitterverfahren und Adaptive Gitterverfeinerung

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Über die Autorin bzw. den Autor

Prof. Dr. Gerhard Zumbusch, Universität Jena

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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.

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9783322800640: Parallel Multilevel Methods: Adaptive Mesh Refinement and Loadbalancing

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ISBN 10:  3322800644 ISBN 13:  9783322800640
Verlag: Vieweg+Teubner Verlag, 2011
Softcover