Virtual Element method for the Navier-Stokes equation coupled with the heat equation
Tuesday 17th May 2022
Antonietti, P.F.; Vacca, G.; Verani, M.
We consider the Virtual Element discretization of the Navier-Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We present the Virtual Element discretization of the coupled problem, show its well-posedness, and prove optimal error estimates. Numerical experiments which confirm the theoretical error bounds are also presented.