Autor(en): Zumbusch, Gerhard

Parallel Multilevel Methods
Adaptive Mesh Refinement and Loadbalancing
Aus der Reihe: Advances in Numerical Mathematics
B.G. Teubner Verlag 2003. 216 pp. 17 x 24 cm Softc.
ISBN: 3-519-00451-8
EUR: 39.90 Sfr: 67.00

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.

Aus dem Inhalt:
Multilevel Iterative Solver - Adaptively Refined Grids - Space-Filling Curves - Adaptive Parallel Multilevel Methods - Numerical Applications

Studierende der Mathematik und Informatik im Hauptstudium und Promotionsstudenten in interdisziplinären und rechnergestützten Forschungsgebieten, Studiengänge wissenschaftliches Rechnen, computational science and engineering (CSE)

Über den/die Autor(en):
Prof. Dr. Gerhard Zumbusch, Universität Jena