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 …

Engineering is evolving in the same way than society is doing. Nowadays, data is acquiring
a prominence never imagined. In the past, in the domain of materials, processes and …

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 …

Sparse model identification by means of data is especially cumbersome if the sought
dynamics live in a high dimensional space. This usually involves the need for large amount …

Digital twins can be defined as digital representations of physical entities that employ real‐
time data to enable understanding of the operating conditions of these entities. Here we …

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 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 …

We introduce here a novel approach for the numerical simulation of nonlinear, hyperelastic
soft tissues at kilohertz feedback rates necessary for haptic rendering. This approach is …

Optimization of manufacturing processes or structures involves the optimal choice of many
parameters (process parameters, material parameters or geometrical parameters). Usual …

This book is intended to help researchers overcome the entrance barrier to Proper
Generalized Decomposition (PGD), by providing a valuable tool to begin the programming …