Allan McRobie


Approximate Inertial Manifolds

Approximate Inertial Manifolds

I have been looking at the technique of inertial manifold approximation as a method for dimension-reduction applicable to high-dimensional numerical models of computational structural mechanics. The technique was developed in the field of theoretical computational fluid dynamics. Together with Dr Steve Foale (formerly of University College London) and Dr Carlo Laing (formerly of DAMTP, University College London and CUED, now in Pittsburgh) we have been applying the technique to numerical models of nonlinear shell vibrations. The aim is to extract from a high-dimensional numerical model a more manageable low-dimensional model which exhibits the major features of the fully-nonlinear response, such as the bifurcation structure.

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