@Article{IJNAMB-3-408, author = {}, 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} }