@inproceedings{321b2a6b4f0c49dd9d22c7d5896f7240,
title = "A quasi-optimal sparse grids procedure for groundwater flows",
abstract = "In this work we explore the extension of the quasi-optimal sparse grids method proposed in our previous work “On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods” to a Darcy problem where the permeability is modeled as a lognormal random field. We propose an explicit a-priori/a-posteriori procedure for the construction of such quasi-optimal grid and show its effectiveness on a numerical example. In this approach, the two main ingredients are an estimate of the decay of the Hermite coefficients of the solution and an efficient nested quadrature rule with respect to the Gaussian weight.",
author = "Joakim Beck and Fabio Nobile and Lorenzo Tamellini and Ra{\'u}l Tempone",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2014.; 9th International Conference on Spectral and High Order Methods, ICOSAHOM 2012 ; Conference date: 25-06-2012 Through 29-06-2012",
year = "2014",
doi = "10.1007/978-3-319-01601-6_1",
language = "English (US)",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "1--16",
editor = "Mejdi Aza{\"i}ez and Hesthaven, {Jan S.} and Fekih, {Henda El}",
booktitle = "Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2012 - ICOSAHOM conference, Selected papers",
address = "Germany",
}