TY - JOUR
T1 - Numerical Approximation of Two-Dimensional Convection-Diffusion Equations with Multiple Boundary Layers
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 367
EP - 408
PY - 2005
DA - 2005/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/937.html
KW - boundary layers, finite elements, singularly perturbed problem, convection-diffusion.
AB - <p style="text-align: justify;">In this article, we demonstrate how one can improve the
numerical solutions of singularly perturbed problems involving multiple
boundary layers by using a combination of analytic and numerical tools.
Incorporating the structures of boundary layers into finite element
spaces can improve the accuracy of approximate solutions and result in
significant simplifications. We discuss here convection-diffusion
equations in the case where both ordinary and parabolic boundary layers
are present.</p>