Virtual Element Method for the Navier–Stokes Equation coupled with the Heat Equation

05/02/2022

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by   Paola Francesca Antonietti, et al.

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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.