International audienceIn the present paper we prove a functional inequality of the Poincaré--Wirtinger type on some particular domains with a precise estimate of the constant as a function of the geometry of the domain. This type of inequality arises, for instance, in the analysis of finite volume (FV) numerical methods, which was our main motivation. As an illustration, our result let us prove uniform a priori bounds for the FV approximate solutions of the heat equation with Ventcell boundary conditions in the natural energy space constituted by functions in $H^1(\Omega)$ whose trace belongs to $H^1(\partial \Omega)$. The main difficulty here comes from the fact that the approximation is performed on non-polygonal control volumes since the...
This paper is concerned with the finite volume approximation of the p-laplacian equation with homoge...
This paper is concerned with the finite volume approximation of the p-laplacian equation with homoge...
This paper is concerned with the finite volume approximation of the p-laplacian equation with homoge...
International audienceIn the present paper we prove a functional inequality of the Poincaré--Wirting...
International audienceIn the present paper we prove a functional inequality of the Poincaré--Wirting...
International audienceIn the present paper we prove a functional inequality of the Poincaré--Wirting...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
We present new a posteriori error estimates for the finite volume approximations of elliptic problem...
In this paper we study the convergence rate of a finite volume approximation of the compressible Nav...
This paper is concerned with the finite volume approximation of the p-laplacian equation with homoge...
This paper is concerned with the finite volume approximation of the p-laplacian equation with homoge...
This paper is concerned with the finite volume approximation of the p-laplacian equation with homoge...
International audienceIn the present paper we prove a functional inequality of the Poincaré--Wirting...
International audienceIn the present paper we prove a functional inequality of the Poincaré--Wirting...
International audienceIn the present paper we prove a functional inequality of the Poincaré--Wirting...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
International audienceWe prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev ine...
We present new a posteriori error estimates for the finite volume approximations of elliptic problem...
In this paper we study the convergence rate of a finite volume approximation of the compressible Nav...
This paper is concerned with the finite volume approximation of the p-laplacian equation with homoge...
This paper is concerned with the finite volume approximation of the p-laplacian equation with homoge...
This paper is concerned with the finite volume approximation of the p-laplacian equation with homoge...