Numerical analysis of a singularly perturbed convection diffusion problem with shift in space
Numerical Analysis
2022-07-20 v1 Numerical Analysis
Abstract
We consider a singularly perturbed convection-diffusion problem that has in addition a shift term. We show a solution decomposition using asymptotic expansions and a stability result. Based upon this we provide a numerical analysis of high order finite element method on layer adapted meshes. We also apply a new idea of using a coarser mesh in places where weak layers appear. Numerical experiments confirm our theoretical results.
Cite
@article{arxiv.2207.09218,
title = {Numerical analysis of a singularly perturbed convection diffusion problem with shift in space},
author = {Mirjana Brdar and Sebastian Franz and Lars Ludwig and Hans-Görg Roos},
journal= {arXiv preprint arXiv:2207.09218},
year = {2022}
}
Comments
17 pages, 1 figure