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math.NA2024
Multilevel quadrature formulae for the optimal control of random PDEs
Fabio Nobile, Tommaso Vanzan
This manuscript presents a framework for using multilevel quadrature formulae to compute the solution of optimal control problems constrained by random partial differential equatio…
math.NA2024★ 1 cited
Petrov-Galerkin Dynamical Low Rank Approximation:SUPG stabilisation of advection-dominated problems
Fabio Nobile, Thomas Trigo Trindade
We propose a novel framework of generalised Petrov-Galerkin Dynamical Low Rank Approximations (DLR) in the context of random PDEs. It builds on the standard Dynamical Low Rank Appr…
math.NA2024★ 2 cited
Error estimates for SUPG-stabilised Dynamical Low Rank Approximations
Fabio Nobile, Thomas Trigo Trindade
We perform an error analysis of a fully discretised Streamline Upwind Petrov Galerkin Dynamical Low Rank (SUPG-DLR) method for random time-dependent advection-dominated problems. T…