5 papers
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…
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…
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…
Fourier analysis of membrane locking and unlocking
Rene R. Hiemstra, Federico Fuentes, Dominik Schillinger
Membrane locking in finite element approximations of thin beams and shells has remained an unresolved topic despite four decades of research. In this article, we utilize Fourier an…
Global minimization of polynomial integral functionals
Giovanni Fantuzzi, Federico Fuentes
We describe a `discretize-then-relax' strategy to globally minimize integral functionals over functions in a Sobolev space subject to Dirichlet boundary conditions. The strateg…