Parallel Multilevel Methods: Adaptive Mesh Refinement And Loadbalancing Gerhard Zumbusch

ISBN: 9783519004516

Published: November 26th 2003

Paperback

216 pages


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Parallel Multilevel Methods: Adaptive Mesh Refinement And Loadbalancing  by  Gerhard Zumbusch

Parallel Multilevel Methods: Adaptive Mesh Refinement And Loadbalancing by Gerhard Zumbusch
November 26th 2003 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 216 pages | ISBN: 9783519004516 | 3.45 Mb

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. It isMoreMain 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. 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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