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arXiv · 2205.11079

Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with L1 data

Mirella Aoun·Olivier Guibé
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Abstract

In this paper we study the convergence of a finite volume approximation of a convective diffusive elliptic problem with Neumann boundary conditions and L 1 data. To deal with the non-coercive character of the equation and the low regularity of the right hand-side we mix the finite volume tools and the renormalized techniques. To handle the Neumann boundary conditions we choose solutions having a null median and we prove a convergence result.

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Mirella Aoun, Olivier Guibé. 2022-05-23. Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with L1 data. https://arxiv.org/abs/2205.11079

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