Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation

  author = {G. W. Zumbusch},
  title = {Parallel Adaptively Refined Sparse Grids},
  booktitle = {Multigrid Methods {VI}},
  publisher = {Springer},
  address = {Berlin, Germany},
  year = {2000},
  pages = {285--292},
  editor = {E. Dick and K. Riemslagh and J. Vierendeels},
  volume = {14},
  note = {(Proceedings EMG 6)},
  series = {Lecture Notes in Computational Science and Engineering},
  ps = { 1},
  pdf = { 1},
  annote = {unrefereed (only abstracts),parallel},
  abstract = {A parallel version of a finite difference discretization
		  of PDEs on sparse grids is proposed. Sparse grids or
		  hyperbolic crosspoints can be used for the efficient
		  representation of solutions of a boundary value problem,
		  especially in high dimensions, because the number of grid
		  points depends only weakly on the dimension. So far only
		  the `combination' technique for regular sparse grids was
		  available on parallel computers. However, the new approach
		  allows for arbitrary, adaptively refined sparse grids. The
		  efficient parallelisation is based on a dynamic
		  load-balancing approach with space-filling curves.}