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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Calgaro, C., Ezzoug, M. (2017). \(L^\infty \)-Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects . FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-319-57397-7_17
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DOI: https://doi.org/10.1007/978-3-319-57397-7_17
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