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Book synopsis

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 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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Parallel Multilevel Methods
• Subtitle: Adaptive Mesh Refinement and Loadbalancing
• Author: Gerhard Zumbusch
• Language: English
• Binding: Paperback
• Number of pages: 216
• EAN: 9783519004516
• ISBN: 9783519004516
• ID: 06623602
• Publisher: Springer Fachmedien Wiesbaden
• Weight: 381 g
• Dimensions: 240 × 170 × 13 mm
• Date of publishing: 26. November 2003

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