In many situations across computational science and engineering, multiple computational
models are available that describe a system of interest. These different models have varying …

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 …

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 …

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

Kinetic theory models involving the Fokker–Planck equation can be accurately discretized
using a mesh support (finite elements, finite differences, finite volumes, spectral techniques …

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 …

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 …

In this self-consistent monograph, the author gathers and describes different mathematical
techniques and combines all together to form practical procedures for the inverse analyses …

Despite a solid theoretical foundation and straightforward application to structural design
problems, 3D topology optimization still suffers from a prohibitively high computational effort …

This paper presents a methodology for constructing low‐order surrogate models of finite
element/finite volume discrete solutions of parameterized steady‐state partial differential …