On the discrete Sobolev inequalities
type: Item
instance of: scholarly article
title: On the discrete Sobolev inequalities
author: Sédrick Kameni Ngwamou
author: Michaël Ndjinga
published in: Journal of Numerical Mathematics
publication date: 2024-12-13T00:00:00Z
Mathematics Subject Classification ID: 65N08
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 46E39
zbMATH DE Number: 7958077
zbMATH Keywords: discrete Sobolev inequalities
zbMATH Keywords: finite volumes
zbMATH Keywords: general meshes
zbMATH Keywords: directional total variation
MaRDI profile type: Publication
cites work: Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
cites work: Q4073917
cites work: Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations
cites work: Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
cites work: Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
cites work: Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data
cites work: The gradient discretisation method
cites work: Q5178046
cites work: On discrete functional inequalities for some finite volume schemes
cites work: Q3518684
cites work: A note on the Sobolev and Gagliardo-Nirenberg inequality when \(p > N \)
cites work: On a theorem of functional analysis
cites work: Functions of several variables and absolute continuity. II.
cites work: Q3260749
cites work: Proprietà di alcune classi di funzioni in più variabili
cites work: Detailed proof of classical Gagliardo-Nirenberg interpolation inequality with historical remarks
DOI: 10.1515/JNMA-2023-0086
description: scientific article; zbMATH DE number 7958077