This paper revisits a new model reduction methodology based on the use of separated
representations, the so called Proper Generalized Decomposition—PGD. Space and time …

This paper revisits a powerful discretization technique, the Proper Generalized
Decomposition—PGD, illustrating its ability for solving highly multidimensional models. This …

In this paper we are addressing a new paradigm in the field of simulation-based engineering
sciences (SBES) to face the challenges posed by current ICT technologies. Despite the …

We review the foundations and applications of the proper generalized decomposition (PGD),
a powerful model reduction technique that computes a priori by means of successive …

Many models in polymer processing and composites manufacturing are defined in
degenerated three-dimensional domains, involving plate or shell geometries. The reduction …

This chapter presents an overview of Model Order Reduction–a new paradigm in the field of
simulationbased engineering sciences, and one that can tackle the challenges and leverage …

This paper focuses on the efficient solution of models defined in high dimensional spaces.
Those models involve numerous numerical challenges because of their associated curse of …

Dynamic Data-Driven Application Systems—DDDAS—appear as a new paradigm in the
field of applied sciences and engineering, and in particular in Simulation-based Engineering …

This chapter presents an overview of model order reduction–a new paradigm in the field of
simulation‐based engineering sciences, and one that can tackle the challenges and …

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 …