Advances in Numerical Mathematics

Parallel Multilevel Methods

Adaptive Mesh Refinement and Loadbalancing

Authors: Zumbusch, Gerhard

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About this Textbook

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.

About the authors

Prof. Dr. Gerhard Zumbusch, Universit├Ąt Jena

Table of contents (7 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-322-80063-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-519-00451-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Parallel Multilevel Methods
Book Subtitle
Adaptive Mesh Refinement and Loadbalancing
Authors
Series Title
Advances in Numerical Mathematics
Copyright
2003
Publisher
Vieweg+Teubner Verlag
Copyright Holder
B. G. Teubner Verlag / GWV Fachverlage GmbH, Wiesbaden
eBook ISBN
978-3-322-80063-3
DOI
10.1007/978-3-322-80063-3
Softcover ISBN
978-3-519-00451-6
Series ISSN
1616-2994
Edition Number
1
Number of Pages
216
Number of Illustrations and Tables
22 b/w illustrations
Topics