Adaptive experimental design for multi‐fidelity surrogate modeling of multi‐disciplinary systems

JD Jakeman, S Friedman, MS Eldred… - International Journal …, 2022 - Wiley Online Library
We present an adaptive algorithm for constructing surrogate models of multi‐disciplinary
systems composed of a set of coupled components. With this goal we introduce “coupling” …

Comparing multi-index stochastic collocation and multi-fidelity stochastic radial basis functions for forward uncertainty quantification of ship resistance

C Piazzola, L Tamellini, R Pellegrini, R Broglia… - Engineering with …, 2023 - Springer
This paper presents a comparison of two multi-fidelity methods for the forward uncertainty
quantification of a naval engineering problem. Specifically, we consider the problem of …

Stochastic isogeometric analysis in linear elasticity

R Jahanbin, S Rahman - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
A new stochastic method, integrating spline dimensional decomposition (SDD) and
isogeometric analysis (IGA), is proposed for solving stochastic boundary-value problems …

Multilevel double loop Monte Carlo and stochastic collocation methods with importance sampling for Bayesian optimal experimental design

J Beck, B Mansour Dia, L Espath… - International Journal for …, 2020 - Wiley Online Library
An optimal experimental set‐up maximizes the value of data for statistical inferences. The
efficiency of strategies for finding optimal experimental set‐ups is particularly important for …

Isogeometric multilevel quadrature for forward and inverse random acoustic scattering

J Dölz, H Harbrecht, C Jerez-Hanckes… - Computer Methods in …, 2022 - Elsevier
We study the numerical solution of forward and inverse time-harmonic acoustic scattering
problems by randomly shaped obstacles in three-dimensional space using a fast …

Uncertainty quantification of ship resistance via multi-index stochastic collocation and radial basis function surrogates: A comparison

C Piazzola, L Tamellini, R Pellegrini, R Broglia… - AIAA Aviation 2020 …, 2020 - arc.aiaa.org
This paper presents a comparison of two methods for the forward uncertainty quantification
(UQ) of complex industrial problems. Specifically, the performance of Multi-Index Stochastic …

Uncertainty propagation of dam break flow using the stochastic non-intrusive B-splines Bézier elements-based method

A Abdedou, A Soulaïmani, GW Tchamen - Journal of Hydrology, 2020 - Elsevier
The non-intrusive B-splines Bézier elements method (BSBEM) is used to perform uncertainty
propagation for complex dam break flow models. The predictive efficiency of the BSBEM is …

A combination technique for optimal control problems constrained by random PDEs

F Nobile, T Vanzan - SIAM/ASA Journal on Uncertainty Quantification, 2024 - SIAM
We present a combination technique based on mixed differences of both spatial
approximations and quadrature formulae for the stochastic variables to solve efficiently a …

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

M Chiappetta, C Piazzola, L Tamellini… - International Journal …, 2024 - Wiley Online Library
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 on …

Stochastic isogeometric analysis on arbitrary multipatch domains by spline dimensional decomposition

R Jahanbin, S Rahman - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
This paper presents a new stochastic method by integrating spline dimensional
decomposition (SDD) of a high-dimensional random function and isogeometric analysis …