Aerodynamic modeling plays an important role in multiphysics and design problems, in
addition to experiment and numerical simulation, due to its low-dimensional representation …

In this paper, we introduce an uplifted reduced order modeling (UROM) approach through
the integration of standard projection based methods with long short-term memory (LSTM) …

This paper presents a non-intrusive model order reduction (MOR) for the solution of
parameterized electromagnetic scattering problems, which needs to prepare a database …

Using nonlinear projections and preserving structure in model order reduction (MOR) are
currently active research fields. In this paper, we provide a novel differential geometric …

We propose a formulation to derive a reduced order model for geometric nonlinearities
which is shown to be valid for a set of parametrized defects. The latter are imposed in terms …

Projection-based reduced-order models (ROMs) play a crucial role in simplifying the
complex dynamics of fluid systems. Such models are achieved by projecting the Navier …

Abstract Proper Orthogonal Decomposition (POD) basis interpolation on Grassmann
manifolds has been successfully applied to problems of parametric model order reduction …

In this paper, an improved nonlinear reduced-order modeling technique capable of
describing the parameterized shape defect is presented. In the proposed framework, a set of …

The design of a new magnetic resonance imaging (MRI) scanner requires multiple
numerical simulations of the same magneto‐mechanical problem for varying model …

A new strategy for constructing parametric Galerkin reduced order models is presented in
this article. This strategy is achieved thanks to the Riemannian manifold, quotient of the set …