3 papers
math.OC2026
Finite convergence and minimizer extraction in moment relaxations with correlative sparsity
Giovanni Fantuzzi, Federico Fuentes
We identify a new sufficient condition for the finite convergence of moment relaxations of polynomial optimization problems with correlative sparsity. This condition, which follows…
physics.flu-dyn2026
Improved global stability bounds for two-dimensional plane Poiseuille flow
Vicente Iligaray, Danilo Aballay, Federico Fuentes
This work provides new lower bounds on the global (nonlinear) stability limit of pressure-driven two-dimensional plane Poiseuille flow, improving on the energy stability limit, $Re…
math.NA2025
An -adaptive finite element method using neural networks for parametric self-adjoint elliptic problem
Danilo Aballay, Federico Fuentes, Vicente Iligaray +5
This work proposes an -adaptive finite element method (FEM) using neural networks (NNs). The method employs the Ritz energy functional as the loss function, currently limiting i…