Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with L1 data
Analysis of PDEs
2022-05-24 v1 Numerical Analysis
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2205.11079,
title = {Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with L1 data},
author = {Mirella Aoun and Olivier Guibé},
journal= {arXiv preprint arXiv:2205.11079},
year = {2022}
}