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Virtual Element Method for the Navier--Stokes Equation coupled with the Heat Equation (2205.00954v1)
Published 2 May 2022 in math.NA and cs.NA
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.