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D. Guignard

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Preprint Sep 2026

A Tree-Based Localized Reduced Basis Method for Parametrized Parabolic PDEs

We propose a localized reduced basis method for parametrized parabolic partial differential equations based on an adaptive partitioning of the parameter domain using hierarchical binary trees. A POD-Greedy procedure is employed to construct reduced spaces associated with each parameter subdomain. A certified \emph{a po...

Mohamed Barakat, D. Guignard · 0 citations

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