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2020 | OriginalPaper | Chapter

A Finite Volume Method for a Convection-Diffusion Equation Involving a Joule Term

Authors : Caterina Calgaro, Emmanuel Creusé

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Publisher: Springer International Publishing

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Abstract

This work is devoted to a Finite Volume method to approximate the solution of a convection-diffusion equation involving a Joule term. We propose a way to discretize this so-called “Joule effect” term in a consistent way with the non linear diffusion one, in order to ensure some maximum principle properties on the solution. We then investigate the numerical behavior of the scheme on two original benchmarks.

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previous chapter Acceleration of Newton’s Method Using Nonlinear Jacobi Preconditioning

next chapter On the Stability of Finite Volumes for Stationary First Order Systems

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Title: A Finite Volume Method for a Convection-Diffusion Equation Involving a Joule Term
Authors: Caterina Calgaro
Emmanuel Creusé
Publisher: Springer International Publishing
Book: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Print ISBN: 978-3-030-43650-6

Electronic ISBN: 978-3-030-43651-3

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-43651-3_37

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