Publications

Publications SGS: Bibliography 1992 BibTeX

@inproceedings {INPROC-1992-03,
    author = {H.-J. Bungartz and M. Griebel and U. R{\"u}de},
    title = {{Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems}},
    booktitle = {Analysis, algorithms, and applications of spectral and high order methods for partial differential equations},
    address = {North Holland},
    publisher = {Elsevier},
    institution = {University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology, Germany},
    pages = {243--252},
    type = {Conference Paper},
    month = {January},
    year = {1992},
    language = {English},
    cr-category = {G.0 Mathematics of Computing General},
    contact = {Hans-Joachim Bungartz bungartz@ipvs.uni-stuttgart.de},
    department = {University of Stuttgart, Institute of Parallel and Distributed Systems, Simulation of Large Systems},
    abstract = {Several variants of extrapolation can be used for elliptic partial differential
      equations. They are Richardson extrapolation, truncation error extrapolation
      and extrapolation of the functional.
      
      In multi-dimensional problems, multivariate error expansions can be exploited
      by multivariate extrapolation, where the asymptotic expansions in different
      mesh parameters are exploited. Particularly interesting cases are the
      combination technique that uses all the grids that have constant product of the
      meshspacings in the different coordinate directions. Another related technique
      is the sparse grid finite element technique that can be interpreted as a
      combination extrapolation of the functional.},
    url = {http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=INPROC-1992-03&engl=1}
 }