Accessible Requires Authentication Published by De Gruyter January 25, 2010

Finite element methods for a singularly perturbed transmission problem

S. Nicaise and C. Xenophontos
From the journal

Abstract

We consider a one-dimensional singularly perturbed transmission problem with two different diffusion coefficients. The solution will contain boundary layers only in the part of the domain where the diffusion coefficient is high. We derive and analyze various finite element approaches for the approximation of the solution and conduct numerical computations that show the robustness (or lack thereof) of each approach.

Received: 2009-03-24
Revised: 2009-09-07
Published Online: 2010-01-25
Published in Print: 2009-December

© de Gruyter 2009