Conference Papers Year : 2020

$L^\infty$ bounds for numerical solutions of noncoercive convection-diffusion equations

Abstract

In this work, we apply an iterative energy method à la de Giorgi in order to establish $L^\infty$ bounds for numerical solutions of noncoercive convection-diffusion equations with mixed Dirichlet-Neumann boundary conditions.
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Dates and versions

hal-02404546 , version 1 (11-12-2019)
hal-02404546 , version 2 (11-12-2019)

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Claire Chainais-Hillairet, Maxime Herda. $L^\infty$ bounds for numerical solutions of noncoercive convection-diffusion equations. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples., Jun 2020, Bergen, Norway. ⟨10.1007/978-3-030-43651-3_12⟩. ⟨hal-02404546v2⟩
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