Solving dynamics problem in the frequency domain gives significant advantages compared
with solutions fully computed in the temporal domain, but history-dependent nonlinear …

In this work, the space-time MORe DWR (M odel O rder Re duction with D ual-W eighted R
esidual error estimates) framework is extended and further developed for single-phase flow …

The LATIN method has been developed and successfully applied to a variety of
deterministic problems, but few work has been developed for nonlinear stochastic problems …

Within the framework of computational plasticity, recent advances show that the quasi-static
response of an elasto-plastic structure under cyclic loadings may exhibit a time multiscale …

Computational multiscale analyses are currently ubiquitous in science and technology.
Different problems of interest—eg, mechanical, fluid, thermal, or electromagnetic—involving …

The goal of this paper is to introduce a model order reduction method for high-cycle fatigue
simulations using a kinetic damage model, ie a constitutive model in which the damage …

A weakly-invasive version of the LATIN-PGD method is introduced to compute reduced-
order models in solid mechanics for time-dependent non-linear parametrized problems …

One of the challenges of fatigue simulation using continuum damage mechanics framework
over the years has been reduction of numerical cost while maintaining acceptable accuracy …

This paper presents a multi-temporal formulation for simulating elastoplastic solids under
cyclic loading. We leverage the proper generalized decomposition (PGD) to decompose the …

The LATIN-PGD method is a powerful alternative to the Newton–Raphson scheme for
solving non-linear time-dependent problems in combination with reduced-order modeling …