200022
20190416220316.0
0898-1221
doi
10.1016/j.camwa.2016.01.005
000373542600001
ISI
ARTICLE
Analytic regularity and collocation approximation for elliptic PDEs with Random domain deformations
2016
2016
25
Journal Articles
In this work we consider the problem of approximating the statistics of a given Quantity of Interest (QoI) that depends on the solution of a linear elliptic PDE defined over a random domain parameterized by N random variables. The elliptic problem is remapped onto a corresponding PDE with a fixed deterministic domain. We show that the solution can be analytically extended to a well defined region in C^N with respect to the random variables. A sparse grid stochastic collocation method is then used to compute the mean and variance of the QoI. Finally, convergence rates for the mean and variance of the QoI are derived and compared to those obtained in numerical experiments.
Uncertainty Quantification
Stochastic Collocation
Stochastic PDEs
Finite Elements
Complex Analysis
Smolyak Sparse Grids
Castrillón-Candás, Julio Enrique
241873
Nobile, Fabio
118353
Tempone, Raúl
Computers and Mathematics with Applications
71
6
1173-1197
Is New Version Of
https://infoscience.epfl.ch/record/263217
Publisher's version
915166
Publisher's version
http://infoscience.epfl.ch/record/200022/files/2016_Castrillon_Nobile_Tempone_CAMWA_RandomDom.pdf
julien.junod@epfl.ch
CSQI
252411
U12495
oai:infoscience.tind.io:200022
article
SB
GLOBAL_SET
178574
118353
148230
EPFL-ARTICLE-200022
EPFL
PUBLISHED
REVIEWED
ARTICLE