Publications SGS: Bibliography 1994 BibTeX
@article {ART-1994-07,
author = {Thomas St{\"o}rtkuhl and Christoph Zenger and Stefan Zimmer},
title = {{An Asymptotic Solution for the Singularity at the Angular Point of the Lid Driven Cavity}},
journal = {International Journal of Numerical Methods for Heat and Fluid Flow},
publisher = {Pineridge Press},
volume = {4},
number = {1},
pages = {47--59},
type = {Article in Journal},
month = {February},
year = {1994},
language = {English},
cr-category = {G.1.8 Partial Differential Equations},
department = {University of Stuttgart, Institute of Parallel and Distributed Systems, Simulation of Large Systems},
abstract = {},
url = {http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=ART-1994-07&engl=1}
}
@article {ART-1994-01,
author = {H.-J. Bungartz and M. Griebel and U. R{\"u}de},
title = {{Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems}},
journal = {Comput. Methods Appl. Mech. Eng.},
address = {North Holland},
publisher = {Elsevier},
volume = {116},
pages = {243--252},
type = {Article in Journal},
month = {January},
year = {1994},
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=ART-1994-01&engl=1}
}
@inbook {INBOOK-1994-02,
author = {H.-J. Bungartz and M. Griebel and D. R{\"o}schke and C. Zenger},
title = {{Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems}},
series = {Domain Decomposition Methods in Scientific and Engineering Computing, DDM7},
address = {Providence},
publisher = {American Mathematical Society},
series = {Contemp. Math.},
volume = {180},
pages = {15--20},
type = {Article in Book},
month = {January},
year = {1994},
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 = {no abstract available},
url = {http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=INBOOK-1994-02&engl=1}
}
