Asymptotic expansion of the solution of the singularly perturbed convection-diffusion equation in the 2D convex polygonal domain

• ID: 2603, RIV: 10195416
• ISSN: 0094-243X, ISBN: 978-0-7354-1184-5
• source: 11th International Conference of Numerical Analysis and Applied Mathematics 2013
• keywords: Asymptotic expansion; singularly perturbed; convection; diffusion; convex domain; polygonal domain
• authors: Jan Lamač
• authors from KNM: not assigned

Abstract

We derive and apply the formulas for the global expansion and the asymptotic expansion of the solution of the singularly perturbed convection-diffusion equation in 2D convex polygonal domain. Under several assumptions we also prove its correctness and verify it on a few examples.