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Bound-Preserving High Order Finite Volume Schemes for Conservation Laws and Convection-Diffusion Equations Read chapter Read first chapter

2017 | OriginalPaper | Chapter

\(L^\infty \)-Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation

Authors : Caterina Calgaro, Meriem Ezzoug

Published in: Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Publisher: Springer International Publishing

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Abstract

In this paper, we propose a finite volume scheme for solving a two-dimensional convection-diffusion equation on general meshes. This work is based on a implicit-explicit (IMEX) second order method and it is issued from the seminal paper [5]. In the framework of MUSCL methods, we will prove that the local maximum property is guaranteed under an explicit Courant–Friedrichs–Levy condition and the classical hypothesis for the triangulation of the domain.

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previous chapter Lagrange-Flux Schemes and the Entropy Property
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Metadata
Title
-Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation
Authors
Caterina Calgaro
Meriem Ezzoug
Copyright Year
2017
Book
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Print ISBN: 978-3-319-57396-0

Electronic ISBN: 978-3-319-57397-7

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-57397-7_17

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