[Dottorcomp] Venerdì 24 gennaio ore 15, seminario di Cecilia Pagliantini

[Lorenzo Tamellini]

Venerdì 24 gennaio 2020 alle ore 15 precise, presso l'aula Beltrami del
Dipartimento di Matematica "F. Casorati",

Cecilia Pagliantini, EPFL Losanna,

terrà un seminario dal titolo:

Structure preserving model order reduction of non-dissipative problems

nell'ambito del Seminario di Matematica Applicata (IMATI-CNR e Dipartimento
di Matematica, Pavia),
http://matematica.unipv.it/it/seminari-matematica-applicata

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*Abstract.* Model order reduction allows to efficiently solve parameterized
differential equations in computationally intensive scenarios, such as
real-time and many-query simulations. The gist is to replace the original
problems with models of significantly reduced dimensionality without
compromising the overall accuracy. In the case of time-dependent
non-dissipative problems standard formulations of reduced models do not
generally guarantee preservation of the geometric structure underlying the
physical properties of the original system, like symmetries, invariants,
and conservation laws. This may result in the onset of spurious artifacts
and instabilities. After a brief introduction to reduced order models, we
discuss and analyze structure preserving reduced basis methods for
non-dissipative problems by resorting to their formulation as Hamiltonian
systems endowed with a nonlinear Poisson manifold structure. Time
permitting, we subsequently consider nonlinear structure preserving reduced
models where the reduced phase space evolves in time. This allows to
effectively cope with the local low-rank nature of the non-dissipative
dynamics characterizing e.g. wave-type and advection problems.

This talk is based on a joint work with Jan S. Hesthaven.
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