[HTML][HTML] An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition

M Discacciati, BJ Evans, M Giacomini - Computer Methods in Applied …, 2024 - Elsevier
A non-intrusive proper generalized decomposition (PGD) strategy, coupled with an
overlapping domain decomposition (DD) method, is proposed to efficiently construct …

Nonlinear dimensionality reduction for parametric problems: A kernel proper orthogonal decomposition

P Díez, A Muixí, S Zlotnik… - International Journal for …, 2021 - Wiley Online Library
Reduced‐order models are essential tools to deal with parametric problems in the context of
optimization, uncertainty quantification, or control and inverse problems. The set of …

Separated response surfaces for flows in parametrised domains: comparison of a priori and a posteriori PGD algorithms

M Giacomini, L Borchini, R Sevilla, A Huerta - Finite Elements in Analysis …, 2021 - Elsevier
Reduced order models (ROM) are commonly employed to solve parametric problems and to
devise inexpensive response surfaces to evaluate quantities of interest in real-time. There …

Nonintrusive parametric NVH study of a vehicle body structure

F Cavaliere, S Zlotnik, R Sevilla… - … based design of …, 2023 - Taylor & Francis
A reduced order model technique is presented to perform the parametric Noise, Vibration
and Harshness (NVH) study of a vehicle body-in-white (BIW) structure characterized by …

[HTML][HTML] Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows

R Sevilla, L Borchini, M Giacomini, A Huerta - Computer Methods in …, 2020 - Elsevier
This paper proposes a novel computational framework for the solution of geometrically
parametrised flow problems governed by the Stokes equation. The proposed method uses a …

Nonintrusive reduced order model for parametric solutions of inertia relief problems

F Cavaliere, S Zlotnik, R Sevilla… - … Journal for Numerical …, 2021 - Wiley Online Library
Abstract The Inertia Relief (IR) technique is widely used by industry and produces
equilibrated loads allowing to analyze unconstrained systems without resorting to the more …

An efficient PGD solver for structural dynamics applications

C Vella, P Gosselet, S Prudhomme - Advanced Modeling and Simulation …, 2024 - Springer
We propose in this paper a Proper Generalized Decomposition (PGD) solver for reduced-
order modeling of linear elastodynamic problems. It primarily focuses on enhancing the …

Nonintrusive uncertainty quantification for automotive crash problems with VPS/Pamcrash

M Rocas, A García-González, S Zlotnik… - Finite Elements in …, 2021 - Elsevier
Uncertainty Quantification (UQ) is a key discipline for computational modeling of complex
systems, enhancing reliability of engineering simulations. In crashworthiness, having an …

[HTML][HTML] Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition

V Tsiolakis, M Giacomini, R Sevilla, C Othmer… - Journal of …, 2022 - Elsevier
An a priori reduced order method based on the proper generalised decomposition (PGD) is
proposed to compute parametric solutions involving turbulent incompressible flows of …

[HTML][HTML] Nonintrusive parametric solutions in structural dynamics

F Cavaliere, S Zlotnik, R Sevilla, X Larrayoz… - Computer Methods in …, 2022 - Elsevier
A nonintrusive reduced order method able to solve a parametric modal analysis is proposed
in this work. The main objective is being able to efficiently identify how a variation of user …