2 papers
math.NA2026
A Tree-Based Localized Reduced Basis Method for Parametrized Parabolic PDEs
Mohamed Barakat, Diane Guignard
We propose a localized reduced basis method for parametrized parabolic partial differential equations based on an adaptive partitioning of the parameter domain using hierarchical b…
math.NA2025
Convergence analysis for a tree-based nonlinear reduced basis method
Mohamed Barakat, Diane Guignard
We develop and analyze a nonlinear reduced basis (RB) method for parametrized elliptic partial differential equations based on a binary-tree partition of the parameter domain into…