activity
20072026
most citedAccurate prediction of melt pool shapes in laser powder bed fusion by the non-linear temperature equation including phase changes - isotropic versus anisotropic conductivity

47 citations · 208 across the 28 of their papers we have counts for

collaborators

32 papers

math.AP2026

Thermal Transmission in a Film-Bulk Domain: Finite-Thickness Film and Thin-Film Limit

Ferdinando Auricchio, Mihaela Chiappetta, Andrea Poiatti +1

We investigate a thermal transmission problem in a domain composed of a film region and a bulk region coupled through an interface where temperature continuity and heat-flux balanc…

math.OC2024

Analysis of a combined Filtered/phase-field approach to topology optimization in elasticit

Ferdinando Auricchio, Michele Marino, Idriss Mazari +1

We advance a combined filtered/phase-field approach to topology optimization in the setting of linearized elasticity. Existence of minimizers is proved and rigorous parameter asymp…

cs.CE2023★ 1 cited

Data-informed uncertainty quantification for laser-based powder bed fusion additive manufacturing

Mihaela Chiappetta, Chiara Piazzola, Lorenzo Tamellini +3

We present an efficient approach to quantify the uncertainties associated with the numerical simulations of the laser-based powder bed fusion of metals processes. Our study focuses…

math.NA2023★ 1 cited

On the accuracy of interpolation based on single-layer artificial neural networks with a focus on defeating the Runge phenomenon

Ferdinando Auricchio, Maria Roberta Belardo, Gianluca Fabiani +2

In the present paper, we consider one-hidden layer ANNs with a feedforward architecture, also referred to as shallow or two-layer networks, so that the structure is determined by t…

math.AP2023

Impact of interaction forces in first order many-agent systems for swarm manufacturing

Ferdinando Auricchio, Massimo Carraturo, Giuseppe Toscani +1

We study the large time behavior of a system of interacting agents modeling the relaxation of a large swarm of robots, whose task is to uniformly cover a portion of the domain by c…

math.AP2023

Trends to equilibrium for a nonlocal Fokker-Planck equation

Ferdinando Auricchio, Giuseppe Toscani, Mattia Zanella

We obtain equilibration rates for a one-dimensional nonlocal Fokker-Planck equation with time-dependent diffusion coefficient and drift, modeling the relaxation of a large swarm of…