@InProceedings{ Griebel.Zumbusch:1998*1, author = {M. Griebel and G. W. Zumbusch}, title = {Parallel multigrid in an adaptive {PDE} solver based on hashing}, booktitle = {Parallel Computing: Fundamentals, Applications and New Directions}, pages = {589--600}, editor = {E. D'Hollander and G.R. Joubert and F.J. Peters and U. Trottenberg}, publisher = {Elsevier}, series = {Advances in Parallel Computing}, number = {12}, address = {Amsterdam, The Netherlands}, year = {1998}, note = {Proceedings of ParCo 97, Bonn, Germany}, ps = {http://wissrech.ins.uni-bonn.de/research/pub/zumbusch/parco97.ps.gz} , pdf = {http://wissrech.ins.uni-bonn.de/research/pub/zumbusch/parco97.pdf} , annote = {refereed series,parallel,256C}, abstract = {Partial differential equations can be solved efficiently by adaptive multigrid methods on a parallel computer. We report on the concept of hash-table storage techniques to set up such a code. The code requires substantial less amount of memory and is easier to code in the sequential case. The parallelization takes place by a space filling curve domain decomposition intimately connected to the hash table. The new data structure simplifies the parallel version of the code substantially way and introduces a cheap way to solve the load balancing and mapping problem.} }