@Article{cmes.2007.022.041,
AUTHOR = {L.  Parussini, V.  Pediroda},
TITLE = {Fictitious Domain with Least-Squares Spectral Element Method to Explore Geometric Uncertainties by Non-Intrusive Polynomial Chaos Method},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {22},
YEAR = {2007},
NUMBER = {1},
PAGES = {41--64},
URL = {http://www.techscience.com/CMES/v22n1/25048},
ISSN = {1526-1506},
ABSTRACT = {In this paper the Non-Intrusive Polynomial Chaos Method coupled to a Fictitious Domain approach has been applied to one- and two-dimensional elliptic problems with geometric uncertainties, in order to demonstrate the accuracy and convergence of the methodology. The main advantage of non-intrusive formulation is that existing deterministic solvers can be used. A new Least-Squares Spectral Element method has been employed for the analysis of deterministic differential problems obtained by Non-Intrusive Polynomial Chaos. This algorithm employs a Fictitious Domain approach and for this reason its main advantage lies in the fact that only a Cartesian mesh needs to be generated. Excellent accuracy properties of method are demonstrated by numerical experiments.},
DOI = {10.3970/cmes.2007.022.041}
}