Semester 1, Week 5: Dr Omar Lakkis, University of Sussex

Academic webpage

Title: Adaptive methods and explicit time-stepping

Abstract:

Aposteriori error analysis for Galerkin finite element methods have proven very successful tool in developing mathematically rigorous adaptive mesh refinement algorithms for implicit/space-time evolution equations.  In this work we extend rigorous adaptivity principles to explicit time-stepping for the wave equation.

I will review in the first part of the talk the state of the art for the wave equation. In the second part, I will present recent work in connection to fully practical explicit schemes such as the Leapfrog method and local time step variants thereof.

Location: TBD