Currently displaying 1 – 6 of 6

Showing per page

Order by Relevance | Title | Year of publication

Finite volume schemes for fully non-linear elliptic equations in divergence form

Jérôme Droniou — 2006

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We construct finite volume schemes, on unstructured and irregular grids and in any space dimension, for non-linear elliptic equations of the p -laplacian kind: - div ( | u | p - 2 u ) = f (with 1 < p < ). We prove the existence and uniqueness of the approximate solutions, as well as their strong convergence towards the solution of the PDE. The outcome of some numerical tests are also provided.

Finite volume schemes for fully non-linear elliptic equations in divergence form

Jérôme Droniou — 2007

ESAIM: Mathematical Modelling and Numerical Analysis

We construct finite volume schemes, on unstructured and irregular grids and in any space dimension, for non-linear elliptic equations of the -Laplacian kind: -div(|∇∇) = ƒ (with 1 < < ∞). We prove the existence and uniqueness of the approximate solutions, as well as their strong convergence towards the solution of the PDE. The outcome of some numerical tests are also provided.

The G method for heterogeneous anisotropic diffusion on general meshes

Léo AgélasDaniele A. Di PietroJérôme Droniou — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

In the present work we introduce a new family of cell-centered Finite Volume schemes for anisotropic and heterogeneous diffusion operators inspired by the MPFA L method. A very general framework for the convergence study of finite volume methods is provided and then used to establish the convergence of the new method. Fairly general meshes are covered and a computable sufficient criterion for coercivity is provided. In order to guarantee consistency in the presence of heterogeneous diffusivity,...

Page 1

Download Results (CSV)