A note on the construction of L-fold sparse tensor product spaces
A note on the construction of L-fold sparse tensor product spaces
View/Date of Publication
04.2012Publisher
Institut für Numerische Simulation (INS)Publisher Location
BonnMetadata
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Citable Link (Handle URI) 
https://hdl.handle.net/20.500.11811/11935
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 the associated ansatz spaces possess different approximation properties. Our theory extends the results from [10] for the construction of two-fold sparse tensor product space to arbitrary L-fold sparse tensor product spaces.
Subjects
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
Classification (DDC)
510 Mathematik 518 Numerische AnalysisFirst Publication
https://ins.uni-bonn.de/publication/preprintsRelated Publications
https://doi.org/10.1007/s00365-012-9178-7Part of Series
INS Preprints ; 1205Griebel, Michael; Harbrecht, Helmut: A note on the construction of L-fold sparse tensor product spaces. In: INS Preprints, 1205.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11935
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11935
@unpublished{handle:20.500.11811/11935,
author = {{Michael Griebel} and {Helmut Harbrecht}},
title = {A note on the construction of L-fold sparse tensor product spaces},
publisher = {Institut für Numerische Simulation (INS)},
year = 2012,
month = apr,
INS Preprints},
volume = 1205,
note = {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 the associated ansatz spaces possess different approximation properties. Our theory extends the results from [10] for the construction of two-fold sparse tensor product space to arbitrary L-fold sparse tensor product spaces.},
url = {https://hdl.handle.net/20.500.11811/11935}
}
author = {{Michael Griebel} and {Helmut Harbrecht}},
title = {A note on the construction of L-fold sparse tensor product spaces},
publisher = {Institut für Numerische Simulation (INS)},
year = 2012,
month = apr,
INS Preprints},
volume = 1205,
note = {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 the associated ansatz spaces possess different approximation properties. Our theory extends the results from [10] for the construction of two-fold sparse tensor product space to arbitrary L-fold sparse tensor product spaces.},
url = {https://hdl.handle.net/20.500.11811/11935}
}
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