Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with \(L^1\) data
type: Item
instance of: scholarly article
title: Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with \(L^1\) data
zbMATH Open document ID: 1546.65096
author: Mirella Aoun
author: O. Guibé
published in: Calcolo
publication date: 2024-08-26T00:00:00Z
Mathematics Subject Classification ID: 65N08
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7901435
zbMATH Keywords: convection-diffusion equation
zbMATH Keywords: finite volume schemes
zbMATH Keywords: renormalized solution
zbMATH Keywords: Neumann boundary conditions
zbMATH Keywords: integrable data
zbMATH Keywords: numerical analysis
MaRDI profile type: Publication
cites work: Well-posed elliptic Neumann problems involving irregular data and domains
cites work: On discrete functional inequalities for some finite volume schemes
cites work: Neumann problems for nonlinear elliptic equations with \(L^1\) data
cites work: Uniqueness for Neumann problems for nonlinear elliptic equations
cites work: Nonlinear elliptic and parabolic equations involving measure data
cites work: Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in \(L^1\)
cites work: Finite-volume schemes for noncoercive elliptic problems with Neumann boundary conditions
cites work: Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
cites work: Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations
cites work: Q4487386
cites work: Approximated solutions of equations with \(L^ 1\) data. Application to the \(H\)-convergence of quasilinear parabolic equations
cites work: Solving convection-diffusion equations with mixed, Neumann and Fourier boundary conditions and measures as data, by a duality method.
cites work: Study of the mixed finite volume method for Stokes and Navier‐Stokes equations
cites work: A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data
cites work: Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions
cites work: H-Convergence and Numerical Schemes for Elliptic Problems
cites work: Finite volume methods
cites work: Q4829739
cites work: Finite volume scheme and renormalized solutions for a noncoercive elliptic problem with \(L^{1}\) data
cites work: Non-homogeneous boundary value conditions for elliptic problems with measure valued right hand side
cites work: Q5518040
cites work: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
cites work: Weakly Differentiable Functions
DOI: 10.1007/S10092-024-00602-3
description: scientific article; zbMATH DE number 7901435