Group Seminar: Computational Methods for PDEs
Date: Thursday, Sep 14, 2023
Time: 4:00 pm, S2 416-1
Title: Derivation and simulation of thermoelastic Kirchhoff plates
Abstract:
Within the research of the Cluster of Excellence PhoenixD it is of interest
to simulate thermoelastic materials on thin optical components which have
the structure of Kirchhoff-Plates. This leads to a bothsided nonlinear coupled
4th order system of the heat equation and the elasticity equations. The
standard finite element method (FEM) is a powerful tool for the numerical
solution of boundary value problems of elliptic PDEs. In this talk I will
present a derivation of a 2nd order thermoelastic system on Kirchhoff-Plates
following [1]. Further I will summarize some theoretical statements and show
our FEM simulation results.
[1] K. Rafetseder and W. Zulehner, "A decomposition result for kirchhoff plate
bending problems and a new discretization approach," SIAM Journal on
Numerical Analysis, vol. 56, no. 3, pp. 1961{1986, 2018. doi: 10 . 1137 /
17M1118427. eprint: https : / / doi . org / 10 . 1137 / 17M1118427. [Online].
Available: https://doi.org/10.1137/17M1118427.