Michael Griebel and Helmut Harbrecht On the convergence of the combination technique In Sparse grids and Applications, Volume 97 of Lecture Notes in Computational Science and Engineering
page 55-74.
2014 http://dx.doi.org/10.1007/978-3-319-04537-5_3
2013
Michael Griebel and Helmut Harbrecht A note on the construction of L-fold sparse tensor product spaces Constructive Approximation, 38(2): 235-251 2013 http://dx.doi.org/10.1007/s00365-012-9178-7
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 Griebel and Harbrecht (Math. Comput., 2013) for the construction of two-fold sparse tensor product space to arbitrary L-fold sparse tensor product spaces.