activity
20202025
most citedDirect computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures

104 citations · 345 across the 13 of their papers we have counts for

collaborators
Showing 2023Show all

2 papers · 1 filter

math.NA2023★ 4 cited

Reduced order modelling of fully coupled electro-mechanical systems through invariant manifolds with applications to microstructures

Attilio Frangi, Alessio Colombo, Alessandra Vizzaccaro +1

This paper presents the first application of the direct parametrisation method for invariant manifolds to a fully coupled multiphysics problem involving the nonlinear vibrations of…

math.NA2023★ 26 cited

Direct parametrisation of invariant manifolds for non-autonomous forced systems including superharmonic resonances

Alessandra Vizzaccaro, Giorgio Gobat, Attilio Frangi +1

The direct parametrisation method for invariant manifold is a model-order reduction technique that can be applied to nonlinear systems described by PDEs and discretised e.g. with a…