4 papers
Global Sensitivity Analysis of Spatial Sets: Finite-Element-Based Estimation and the Role of Observation Windows
Farbod Chamanian, Chiara Piazzola, Elisabeth Ullmann
In this work we consider numerical models with random input parameters, where the model output is a spatially distributed random field. We carry out a statistical sensitivity analy…
Uncertainty quantification analysis of bifurcations of the Allen--Cahn equation with random coefficients
Christian Kuehn, Chiara Piazzola, Elisabeth Ullmann
In this work we consider the Allen--Cahn equation, a prototypical model problem in nonlinear dynamics that exhibits bifurcations corresponding to variations of a deterministic bifu…
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…
Uncertainty Quantification of Ship Resistance via Multi-Index Stochastic Collocation and Radial Basis Function Surrogates: A Comparison
Chiara Piazzola, Lorenzo Tamellini, Riccardo Pellegrini +3
This paper presents a comparison of two methods for the forward uncertainty quantification (UQ) of complex industrial problems. Specifically, the performance of Multi-Index Stochas…