Virtual Element method for the Navier-Stokes equation coupled with the heat equation

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
34/2022
Title:
Virtual Element method for the Navier-Stokes equation coupled with the heat equation
Date:
Tuesday 17th May 2022
Author(s):
Antonietti, P.F.; Vacca, G.; Verani, M.
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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.