106 citations · 275 across the 12 of their papers we have counts for
12 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…
Global stability of fluid flows despite transient growth of energy
Federico Fuentes, David Goluskin, Sergei Chernyshenko
Verifying nonlinear stability of a laminar fluid flow against all perturbations is a central challenge in fluid dynamics. Past results rely on monotonic decrease of a perturbation…
High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations
Ali Vaziri Astaneh, Federico Fuentes, Jaime Mora +1
This work represents the first endeavor in using ultraweak formulations to implement high-order polygonal finite element methods via the discontinuous Petrov-Galerkin (DPG) methodo…
Discrete least-squares finite element methods
Brendan Keith, Socratis Petrides, Federico Fuentes +1
A finite element methodology for large classes of variational boundary value problems is defined which involves discretizing two linear operators: (1) the differential operator def…
Using a DPG method to validate DMA experimental calibration of viscoelastic materials
Federico Fuentes, Leszek Demkowicz, Aleta Wilder
A discontinuous Petrov-Galerkin (DPG) method is used to solve the time-harmonic equations of linear viscoelasticity. It is based on a "broken" primal variational formulation, which…
Coupled variational formulations of linear elasticity and the DPG methodology
Federico Fuentes, Brendan Keith, Leszek Demkowicz +1
This article presents a general approach akin to domain-decomposition methods to solve a single linear PDE, but where each subdomain of a partitioned domain is associated to a dist…
The DPG methodology applied to different variational formulations of linear elasticity
Brendan Keith, Federico Fuentes, Leszek Demkowicz
The flexibility of the DPG methodology is exposed by solving the linear elasticity equations under different variational formulations, including some with non-symmetric functional…
Orientation Embedded High Order Shape Functions for the Exact Sequence Elements of All Shapes
Federico Fuentes, Brendan Keith, Leszek Demkowicz +1
A unified construction of high order shape functions is given for all four classical energy spaces (, , and ) and for elements of "all…