EFFICIENT GENERATION OF ORIENTED MESHES FOR SOLVING CONVECTION-DIFFUSION PROBLEMS

A description of Shishkin meshes for resolving boundary and interior layers is given. It is shown how PLTMG can be used to construct these special oriented meshes with minimal e ort. Several types of singularly perturbed convection{di usion problems are solved on the meshes. These solutions are compared with those obtained on uniform meshes and on meshes adaptively re ned by PLTMG; it is seen that Shishkin meshes yield much more accurate solutions with little additional computational e or