Model reduction methods are usually based on preliminary computations to build the shape
function of the reduced order model (ROM) before the computation of the reduced state …

In this work, the PGD method will be considered for solving some problems of fluid
mechanics by looking for the solution as a sum of tensor product functions. In the first stage …

This paper concerns the adaptation of reduced-order models during simulations of series of
elastoviscoplastic problems. In continuation with previous works, this paper aimed at …

This work deals with the question of the resolution of nonlinear problems for many different
configurations in order to build a 'virtual chart'of solutions. The targeted problems are three …

Modeling large systems usually requires metamodels or response surfaces (RSs) of sub-
systems. These metamodels are using sampling points in a parameter domain and related …

A new approximation technique, called Reference Point Method (RPM), is proposed in order
to reduce the computational complexity of algebraic operations for constructing reduced …

The simulation of engineering problems is quite often a complex task that can be time
consuming. In this context, the use of Hyper Reduced Order Models (HROMs) is a promising …

The Boundary Element Method (BEM) is a discretisation technique for solving partial
differential equations, which offers, for certain problems, important advantages over domain …

Reduced order models (ROMs) in fluid dynamics are nowadays mostly developed by
performing a projection of the Navier–Stokes equations onto a low-dimensional space basis …

The solution of structural problems with nonlinear material behaviour in a model order
reduction framework is investigated in this paper. In such a framework, greedy algorithms or …