Virtual Element Method for the Navier--Stokes Equation coupled with the Heat Equation
Numerical Analysis
2022-05-03 v1 Numerical Analysis
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.
Cite
@article{arxiv.2205.00954,
title = {Virtual Element Method for the Navier--Stokes Equation coupled with the Heat Equation},
author = {Paola Francesca Antonietti and Giuseppe Vacca and Marco Verani},
journal= {arXiv preprint arXiv:2205.00954},
year = {2022}
}