Currently displaying 1 – 5 of 5

Showing per page

Order by Relevance | Title | Year of publication

Convergence of a numerical scheme for a nonlinear oblique derivative boundary value problem

Florian Mehats — 2002

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

We present here a discretization of a nonlinear oblique derivative boundary value problem for the heat equation in dimension two. This finite difference scheme takes advantages of the structure of the boundary condition, which can be reinterpreted as a Burgers equation in the space variables. This enables to obtain an energy estimate and to prove the convergence of the scheme. We also provide some numerical simulations of this problem and a numerical study of the stability of the scheme, which appears...

Convergence of a numerical scheme for a nonlinear oblique derivative boundary value problem

Florian Mehats — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

We present here a discretization of a nonlinear oblique derivative boundary value problem for the heat equation in dimension two. This finite difference scheme takes advantages of the structure of the boundary condition, which can be reinterpreted as a Burgers equation in the space variables. This enables to obtain an energy estimate and to prove the convergence of the scheme. We also provide some numerical simulations of this problem and a numerical study of the stability of the scheme, which appears...

Page 1

Download Results (CSV)