Open Access

ARTICLE

Fictitious Domain with Least-Squares Spectral Element Method to Explore Geometric Uncertainties by Non-Intrusive Polynomial Chaos Method

by L. Parussini¹, V. Pediroda²

1 Researcher, Mechanical Engineering Department, University of Trieste, Trieste, ITALY.
2 Assistant Professor, Mechanical Engineering Department, University of Trieste, Trieste, ITALY.

Computer Modeling in Engineering & Sciences 2007, 22(1), 41-64. https://doi.org/10.3970/cmes.2007.022.041

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.

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Keywords

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