[HTML][HTML] An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition
A non-intrusive proper generalized decomposition (PGD) strategy, coupled with an
overlapping domain decomposition (DD) method, is proposed to efficiently construct …
overlapping domain decomposition (DD) method, is proposed to efficiently construct …
Nonlinear dimensionality reduction for parametric problems: A kernel proper orthogonal decomposition
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 …
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
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 …
devise inexpensive response surfaces to evaluate quantities of interest in real-time. There …
Nonintrusive parametric NVH study of a vehicle body structure
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 …
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
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 …
parametrised flow problems governed by the Stokes equation. The proposed method uses a …
Nonintrusive reduced order model for parametric solutions of inertia relief problems
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 …
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 …
order modeling of linear elastodynamic problems. It primarily focuses on enhancing the …
Nonintrusive uncertainty quantification for automotive crash problems with VPS/Pamcrash
Uncertainty Quantification (UQ) is a key discipline for computational modeling of complex
systems, enhancing reliability of engineering simulations. In crashworthiness, having an …
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 …
proposed to compute parametric solutions involving turbulent incompressible flows of …
[HTML][HTML] Nonintrusive parametric solutions in structural dynamics
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 …
in this work. The main objective is being able to efficiently identify how a variation of user …