Lower bounds on the eigenvalues by Crouzeix-Raviart finite elements
- Datum:
- Čas: 14:00 - 15:30
- Adresa: Sokolovská 83, Praha
- Místnost: K3
- Přednášející: Tomáš Vejchodský
In this talk, we will explain how to compute lower bounds on eigenvalues of the Laplace eigenvalue problem by the Crouzeix-Raviart finite element method. Computing estimates on eigenvalues of elliptic operators from below is a challenging task that requires elaborated methods and often some a priori knowledge about the exact spectrum. However, in the case of the Laplace operator, the elliptic projector coincides with the Crouzeix-Raviart interpolation operator, and we can explicitly obtain the corresponding interpolation constant. These special properties enable us to compute accurate lower bounds on eigenvalues easily.