# Space-time finite element methods for the wave equation

## Univ.-Prof. Dr. Olaf Steinbach

Sept. 23, 2019, 1:45 p.m. S2 416-1

In this talk I will review some recent work on space-time finite
element methods
for the wave equation. First we discuss the variational formulation in
the energy
Sobolev space whose discretization requires an appropriate CFL condition for
stability. Following the work of Zlotnik we then consider a stabilized
formulation
which is unconditionally stable. We also comment on the equivalence of the
variational formulation in the energy space with the first order system for
the wave equation, and we derive an alternative construction of the Zlotnik
stabilization.
The talk is based on joint work with M. Zank (U Wien).