@Article{IJNAM-7-444,
author = {C. de Falco and E. O'Riordan},
title = {Interior Layers in a Reaction-Diffusion Equation with a Discontinuous Diffusion Coefficient},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2010},
volume = {7},
number = {3},
pages = {444--461},
abstract = {<p style="text-align: justify;">In this paper a problem arising in the modelling of semiconductor
devices motivates the study of singularly perturbed differential equations of
reaction-diffusion type with discontinuous data. The solutions of such problems typically contain interior layers where the gradient of the solution changes
rapidly. Parameter-uniform methods based on piecewise-uniform Shishkin
meshes are constructed and analysed for such problems. Numerical results
are presented to support the theoretical results and to illustrate the benefits
of using a piecewise-uniform Shishkin mesh over the use of uniform meshes in
the simulation of a simple semiconductor device.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/730.html}
}