@Article{IJNAM-16-499,
author = {Becher , Simon},
title = {FEM-Analysis on Graded Meshes for Turning Point Problems Exhibiting an Interior Layer},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2018},
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/},
url = {http://global-sci.org/intro/article_detail/ijnam/12879.html}
}