Many problems in scientific computing are intractable with classical numerical techniques.
These fail, for example, in the solution of high-dimensional models due to the exponential …

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 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 …

Pipeline structural analysis is a well-developed topic in engineering and research practice.
Since water, oil or gas pipeline systems are a key part of modern development, therefore, it …

The literature about the asymptotic numerical method (ANM) is reviewed in this paper as
well as its application to hyperelasticity and elastoplasticity. ANM is a generic continuation …

In this paper, a highly performing model order reduction technique called Proper
Generalized Decomposition (PGD) is applied to the numerical modeling of highly transient …

Background The solution of 3D models in degenerated geometries in which some
characteristic dimensions are much lower than the other ones-eg beams, plates, shells,...-is …

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 …

Abstract Space separation within the Proper Generalized Decomposition—PGD—rationale
allows solving high dimensional problems as a sequence of lower dimensional ones. In our …