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

TI  - Investigation of Multi Geometric Uncertainties by Different Polynomial Chaos Methodologies Using a Fictitious Domain Solver
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2008
VL  - 23
IS  - 1
SN  - 1526-1506

AB  - 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.
KW  - Chaos Polynomial
KW  -  Chaos Collocation
KW  -  Tensorial-expanded Chaos Collocation
KW  -  multi geometric uncertainties
KW  -  Fictitious Domain
KW  -  Least-Squares Spectral Element Method

DO  - 10.3970/cmes.2008.023.029