Virtual element method for the Navier–Stokes equation coupled with the heat equation-Reference-Cited by-同舟云学术

Virtual element method for the Navier–Stokes equation coupled with the heat equation

Published:2022-11-22 Issue: Volume: Page:
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Antonietti Paola F¹,Vacca Giuseppe²,Verani Marco¹

Affiliation:

1. MOX–Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica , Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy

2. Department of Mathematics, University of Bari , Via Edoardo Orabona 4, 70125, Bari, Italy

Abstract

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 that confirm the theoretical error bounds are also presented.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/drac072/47188456/drac072.pdf

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