Efficient Generation of Oriented Meshes for Solving Convection-Diffusion Problems
Madden, Neil and Martin Stynes
International Journal for Numerical Methods In Engineering, Wiley, Vol 40, pp.565-576, 1997
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 effort. Several types of singularly perturbed convection-diffusion problems are solved on the meshes. These solutions are compared with those obtained on uniform meshes and on meshes adaptively refined by PLTMG; it is seen that Shishkin meshes yield much more accurate solutions with little additional computational effort.
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