Skip to content
BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2011

Layer-adapted methods for a singularly perturbed singular problem

  • Christian Grossmann EMAIL logo , Lars Ludwig and Hans-Görg Roos


In the present paper we analyze linear finite elements on a layer adapted mesh for a boundary value problem characterized by the overlapping of a boundary layer with a singularity. Moreover, we compare this approach numerically with the use of adapted basis functions, in our case modified Bessel functions. It turns out that as well adapted meshes as adapted basis functions are suitable where for our one-dimensional problem adapted bases work slightly better.

Received: 2010-12-19
Revised: 2011-03-16
Accepted: 2011-05-21
Published Online: 2011
Published in Print: 2011

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Downloaded on 30.3.2023 from
Scroll to top button