@Article{IJNAMB-3-408,
author = {ANDRÉ FORTIN, JOSÉ M. URQUIZA, AND RICHARD BOIS},
title = {A Mesh Adaptation Method for 1D-Boundary Layer Problems},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2012},
volume = {3},
number = {4},
pages = {408--428},
abstract = {We present a one-dimensional version of a general mesh adaptation technique developed in [1, 2] which is valid for two and three-dimensional problems. The simplicity of the
one-dimensional case allows to detail all the necessary steps with very simple computations. We
show how the error can be estimated on a piecewise finite element of degree k and how this information
can be used to modify the grid using local mesh operations: element division, node
elimination and node displacement. Finally, we apply the whole strategy to many challenging
singularly perturbed boundary value problems where the one-dimensional setting allows to push
the adaptation method to its limits.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/292.html}
}