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 …

A non-intrusive proper generalized decomposition (PGD) strategy, coupled with an
overlapping domain decomposition (DD) method, is proposed to efficiently construct …

Solving the Helmholtz equation for a large number of input data in an heterogeneous media
and unbounded domain still represents a challenge. This is due to the particular nature of …

The hydraulic fracturing is a nonlinear, fluid-solid coupling and transient problem, in most
cases it is always time-consuming to simulate this process numerically. In recent years …

In the context of MOR techniques for parametrized PDEs, a novel computational method
relying on NURBS-based geometric mappings and PGD-based space separated …

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 …

Proper generalized decomposition (PGD) is often used for multiquery and fast‐response
simulations. It is a powerful tool alleviating the curse of dimensionality affecting …

The computational cost of parametric studies currently represents the major limitation to the
application of simulation-based engineering techniques in a daily industrial environment …

This article deals with the efficient construction of approximations of fields and quantities of
interest used in geometric optimisation of complex shapes that can be encountered in …