A new MOX report entitled “Virtual Element method for the Navier-Stokes equation coupled with the heat equation” by Antonietti, P.F.; Vacca, G.; Verani, M. has appeared in the MOX Report Collection.
The report can be donwloaded at the following link:
https://www.mate.polimi.it/biblioteca/add/qmox/34/2022.pdf
Abstract: 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.
