@Article{IJNAM-16-3,
author = {Simon, Becher},
title = {FEM-Analysis on Graded Meshes for Turning Point Problems Exhibiting an Interior Layer},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2019},
volume = {16},
number = {3},
pages = {499--518},
abstract = {<p style="text-align: justify;">We consider singularly perturbed boundary value problems with a simple interior turning
point whose solutions exhibit an interior layer. These problems are discretised using higher order finite
elements on layer-adapted graded meshes proposed by Liseikin. We prove $ε$-uniform error estimates
in the energy norm. Furthermore, for linear elements we are able to prove optimal order $ε$-uniform
convergence in the $L$<sup>2</sup>-norm on these graded meshes.</p>},
issn = {2617-8710},
doi = {https://doi.org/2019-IJNAM-12879},
url = {https://global-sci.com/article/83074/fem-analysis-on-graded-meshes-for-turning-point-problems-exhibiting-an-interior-layer}
}