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

L. Parussini1, V. Pediroda2
Researcher, Mechanical Engineering Department, University of Trieste, Trieste, ITALY.
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.

Keywords

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

Cite This Article

Parussini, L., Pediroda, V. (2007). Fictitious Domain with Least-Squares Spectral Element Method to Explore Geometric Uncertainties by Non-Intrusive Polynomial Chaos Method. CMES-Computer Modeling in Engineering & Sciences, 22(1), 41–64.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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