[Dottorcomp] reminder: Seminari di Matematica Applicata. Martedì 7 settembre, Michele Ruggeri, ore 15 (ora)

[Lorenzo Tamellini]

Buon pomeriggio a tutt*,

vi ricordo che potete seguire il seminario di Michele Ruggeri anche online
al link zoom qui sotto.

Il seminario iniziera` a breve (stiamo risolvendo dei problemi tecnici in
aula Beltrami)

Lorenzo

----------------------

Il giorno gio 2 set 2021 alle ore 19:23 Lorenzo Tamellini <
tamellini a imati.cnr.it> ha scritto:

> Martedì 7 settembre 2021, alle ore 15 precise, il Dott. Michele Ruggeri
> (TU Wien) terrà un seminario dal titolo:
>
> Convergent finite element methods for the Ericksen model of nematic liquid
> crystals
>
> Il seminario si terrà in formato *ibrido*, su Zoom al link:
>
> https://us02web.zoom.us/j/85346967892?pwd=dWdBbTZoLzk1aXI3TWswUzZIbkphUT09
> Meeting ID: 853 4696 7892
> Passcode: seminario
>
> e in presenza *in aula Beltrami* del dipartimento di matematica.
>
> Pagina web dei Seminari di Matematica Applicata
>
> https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/
>
>
>
> ---------------------------
> * Abstract:* The Ericksen model describes nematic liquid crystals (LCs)
> in terms of a unit-length vector field (director) and a scalar function
> (degree of orientation).
> Compared to the classical Oseen-Frank model, it allows for the description
> of a larger class of defects.
> Equilibrium states of the LC are given by admissible pairs that minimize
> an energy functional,
> which consists of the sum of Oseen-Frank-like energies and a double well
> potential.
> The resulting Euler-Lagrange equations are degenerate for the director,
> which poses serious
> difficulties to formulate mathematically sound algorithms for their
> approximation.
> We propose a simple but novel finite element approximation of the problem
> that can be
> implemented easily within standard finite element packages.
> The scheme does not employ a projection to impose the unit-length
> constraint on the director
> and thus circumvents the use of weakly acute meshes,
> which are quite restrictive in 3D but are required by recent algorithms
> for convergence.
> We show stability and Gamma-convergence properties of the new method in
> the presence
> of defects. We also discuss an effective nested gradient flow algorithm
> for computing minimizers
> that controls the violation of the unit-length constraint.
> We present several simulations in 2D and 3D that document the performance
> of the proposed
> scheme and its ability to capture quite intriguing defects.
> This is joint work with Ricardo H. Nochetto and Shuo Yang (University of
> Maryland).
>
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