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.
General
Imprint: |
Vieweg+teubner Verlag
|
Country of origin: |
Germany |
Series: |
Advances in Numerical Mathematics |
Release date: |
November 2003 |
First published: |
2003 |
Authors: |
Gerhard Zumbusch
|
Dimensions: |
240 x 170 x 12mm (L x W x T) |
Format: |
Paperback
|
Pages: |
216 |
Edition: |
Softcover reprint of the original 1st ed. 2003 |
ISBN-13: |
978-3-519-00451-6 |
Subtitles: |
German
|
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
3-519-00451-8 |
Barcode: |
9783519004516 |
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