Speaker
Heiner Olbermann
(UCLouvain)
Description
We consider the minimization of integral functionals in one dimension and their approximation by r-adaptive finite elements. Including the grid of the FEM approximation as a variable in the minimization, we are able to show that the optimal grid configurations have a well-defined limit when the number of nodes in the grid is being sent to infinity. This is done by showing that the suitably renormalized energy functionals possess a limit in the sense of Gamma-convergence. We also show some numerical results that demonstrate the convergence in practice.
Joint work with Darith Hun and Nicolas Moës (both UCLouvain).
Primary author
Heiner Olbermann
(UCLouvain)
