TY  - EJOU
AU  - Parussini, L.  
AU  - Pediroda, V.  

TI  - Fictitious Domain with Least-Squares Spectral Element Method to Explore Geometric Uncertainties by Non-Intrusive Polynomial Chaos Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2007
VL  - 22
IS  - 1
SN  - 1526-1506

AB  - 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.
KW  - Non-Intrusive Polynomial Chaos
KW  -  Fictitious Domain
KW  -  Lagrange multipliers
KW  -  Least-Squares Spectral Element Method

DO  - 10.3970/cmes.2007.022.041