@InProceedings{ Zumbusch:1999*1, author = {G. W. Zumbusch}, title = {A Parallel Adaptive Multigrid Method}, booktitle = {Proceedings of the 15th GAMM-Seminar Kiel on Numerical Techniques for Composite Materials}, year = {1999}, editor = {W. Hackbusch and S. Sauter}, series = {Notes on Numerical Fluid Mechanics}, publisher = {Vieweg}, address = {Wiesbaden, Germany}, note = {submitted}, ps = {http://wissrech.ins.uni-bonn.de/research/pub/zumbusch/kiel99.ps.gz} , pdf = {http://wissrech.ins.uni-bonn.de/research/pub/zumbusch/kiel99.pdf} , annote = {refereed,parallel}, abstract = {A parallel version of an adaptive multigrid solver for elliptic partial differential equations is described. It operates on a finite difference discretization on quad-tree and oct-tree meshes, which are obtained by adaptive mesh refinement. A fast parallel load balancing strategy for the parallel multigrid equation solver is proposed that is defined by a space-filling Hilbert curve and is applicable to arbitrary shaped domains. Some numerical experiments demonstrate the parallel efficiency and scalability of the approach.} }