Structure-preserving discretization of incompressible magnetohydrodynamics and the incompressible Godunov-Peshkov-Romenski model
Vortrag von Dr. Enrico Zampa
Datum: 12.03.25 Zeit: 16.30 - 18.00 Raum: ETH HG G 19.2
Incompressible magnetohydrodynamics (MHD) and the incompressible Godunov-Peshkov-Romenski (GPR) model share a similar structural framework, with key properties such as energy conservation, incompressibility, and involutions. In this talk, we demonstrate how to preserve these essential properties at the fully discrete level using compatible finite element methods, combined with a tailored time integration scheme. Furthermore, we explore both linear and nonlinear stabilization strategies necessary for convection-dominated regimes, examining their interplay with structure preservation. In particular, we show that such stabilizations affect only energy conservation. This research was conducted in collaboration with M. Dumbser from the University of Trento.