A note on the construction of L-fold sparse tensor product spaces
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 2157094
Author(s) Griebel, Michael; Harbrecht, Helmut
Author(s) at UniBasel Harbrecht, Helmut
Year 2013
Title A note on the construction of L-fold sparse tensor product spaces
Journal Constructive approximation
Volume 38
Number 2
Pages / Article-Number 235-251
Keywords High-dimensional problems, Sparse grids, Sparse tensor product spaces, Tensor product domains of different dimensions, Sparse tensor product of ansatz spaces with different approximation power, Optimal construction of sparse grids, Rate of approximation
Abstract

In the present paper, we consider the construction of general sparse tensor product spaces in arbitrary space dimensions when the single subdomains are of different dimensionality and theassociated ansatz spaces possess different approximation properties. Our theory extends the results from Griebel and Harbrecht [Math. Comput., 82(282):975-994, 2013] for the construction of two-fold sparse tensor product space to arbitrary L-fold sparse tensor product spaces.

Publisher Springer
ISSN/ISBN 1432-0940
edoc-URL http://edoc.unibas.ch/dok/A6174375
Full Text on edoc No
Digital Object Identifier DOI 10.1007/s00365-012-9178-7
ISI-Number WOS:000324104800004
Document type (ISI) Article
 
   

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