The concept of multiscale modelling has emerged over the last few decades to describe
procedures that seek to simulate continuum-scale behaviour using information gleaned from …

This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

A new data-driven computational framework is developed to assist in the design and
modeling of new material systems and structures. The proposed framework integrates three …

A non-intrusive reduced basis (RB) method is proposed for parametrized nonlinear
structural analysis undergoing large deformations and with elasto-plastic constitutive …

SUMMARY A rigorous computational framework for the dimensional reduction of discrete,
high‐fidelity, nonlinear, finite element structural dynamics models is presented. It is based …

Large-scale structural topology optimization has always suffered from prohibitively high
computational costs that have till date hindered its widespread use in industrial design. The …

The computational efficiency of a typical, projection‐based, nonlinear model reduction
method hinges on the efficient approximation, for explicit computations, of the scalar …

In this paper, we review the development of new reduced-order modeling techniques and
discuss their applicability to various problems in computational physics. Emphasis is given …

In this paper, we introduce a new method of model reduction for nonlinear control systems.
Our approach is to construct an approximately balanced realization. The method requires …

The direct computation of the third-order normal form for a geometrically nonlinear structure
discretised with the finite element (FE) method, is detailed. The procedure allows to define a …