TY - JOUR
T1 - Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points
AU - Linß , Torsten
JO - Journal of Computational Mathematics
VL - 4
SP - 401
EP - 410
PY - 2003
DA - 2003/08
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8882.html
KW - Convection-diffusion, Singular perturbation, Solution decomposition, Shishkin mesh.
AB - <p style="text-align: justify;">We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposition is used to analyse the convergence of an upwind finite difference scheme on Shishkin meshes.</p>