[Dottorcomp] Seminari di Matematica Applicata, 18/03/2025, Michael Herty, Charles Parker.

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 18 Marzo 2025, alle ore 15 precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Michael Herty (RWTH Aachen University)

terrà un seminario dal titolo:

New Results for Consensus Based Optimization,

e alle ore 16 precise,

Charles Parker (University of Oxford)

terrà un seminario dal titolo:

Locking-free methods for nonclamped, holely Reissner-Mindlin plates.


Abstract (Herty): We are interested in the construction of numerical
methods for (constrained) very high-dimensional constrained nonlinear
optimization problems by gradient free techniques appearing data
assimilation problems as well as learning applications. Gradients are
replaced by particle approximations and recently different methods have
been proposed, e.g. consensus-based or swarm-based methods.  We discuss new
results  on constrained and  parametric case as well as their corresponding
mean field descriptions in the many particle  limit. Those allow to show
convergence as well as the analysis of properties of the new algorithm.
Several numerical examples, also in high dimensions, illustrate the
theoretical findings as well as the performance of those methods.


Abstract (Parker): Most standard discretizations of Reissner-Mindlin plates
suffer from shear locking in the zero-thickness limit. While many methods
have been developed over the past 40 years to overcome the issue of
locking, it is almost always assumed that the plate is simply connected and
clamped “for simplicity.” In this talk, we show that the analysis of MITC
elements with other boundary conditions and nontrivial topologies is not so
simple. Fortunately, the standard MITC elements and some high-order schemes
without reduction operators remain locking-free in the more general
setting. We then show how the analysis naturally leads to a method to
compute H2-conforming finite element approximations without implementing
C1-continuous elements.

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https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/