@Article{cmes.2008.023.029,
AUTHOR = {L.  Parussini, V.  Pediroda},
TITLE = {Investigation of Multi Geometric Uncertainties by Different Polynomial Chaos Methodologies Using a Fictitious Domain Solver},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {23},
YEAR = {2008},
NUMBER = {1},
PAGES = {29--52},
URL = {http://www.techscience.com/CMES/v23n1/25063},
ISSN = {1526-1506},
ABSTRACT = {In this paper different Polynomial Chaos methods coupled to Fictitious Domain approach have been applied to one- and two- dimensional elliptic problems with multi uncertain variables in order to compare the accuracy and convergence of the methodologies. Both intrusive and non-intrusive methods have been considered, with particular attention to their employment for quantification of geometric uncertainties. A Fictitious Domain approach with Least-Squares Spectral Element approximation has been employed for the analysis of differential problems with uncertain boundary domains. Its main advantage lies in the fact that only a Cartesian mesh, that represents the enclosure, needs to be generated. Excellent accuracy properties of considered methods are demonstrated by numerical experiments.},
DOI = {10.3970/cmes.2008.023.029}
}