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- W2062012145 abstract "Abstract In this paper we consider (hierarchical, Lagrange) reduced basis approximation and a posteriori error estimation for potential flows in affinely parametrized geometries. We review the essential ingredients: i) a Galerkin projection onto a low-dimensional space associated with a smooth “parametric manifold” in order to get a dimension reduction; ii) an efficient and effective greedy sampling method for identification of optimal and numerically stable approximations to have a rapid convergence; iii) an a posteriori error estimation procedure: rigorous and sharp bounds for the linear-functional outputs of interest and over the potential solution or related quantities of interest like velocity and / or pressure; iv) an Offline-Online computational decomposition strategies to achieve a minimum marginal computational cost for high performance in the real-time and many-query (e.g., design and optimization) contexts. We present three illustrative results for inviscid potential flows in parametrized geometries representing a Venturi channel, a circular bend and an added mass problem." @default.
- W2062012145 created "2016-06-24" @default.
- W2062012145 creator A5061558433 @default.
- W2062012145 date "2011-01-01" @default.
- W2062012145 modified "2023-10-03" @default.
- W2062012145 title "Reduced Basis Approximation and Error Bounds for Potential Flows in Parametrized Geometries" @default.
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- W2062012145 doi "https://doi.org/10.4208/cicp.100310.260710a" @default.
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