A singularly perturbed model problem for numerical computation
Journal of Computational and Applied Mathematics
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
Mathematics of Computation
SIAM Journal on Numerical Analysis
Convection-diffusion-reaction problems, SDFEM/SUPG and a priori meshes
International Journal of Computing Science and Mathematics
Journal of Computational and Applied Mathematics
Pointwise estimates of the SDFEM for convection-diffusion problems with characteristic layers
Applied Numerical Mathematics
Superconvergence using pointwise interpolation in convection-diffusion problems
Applied Numerical Mathematics
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In this paper we analyse the superconvergence property of the streamline diffusion finite element method (SDFEM) in the case of elliptic problems with characteristic layers. For the SDFEM we give optimal parameter choices for maximal stability in the induced streamline diffusion norm. It is shown that inside the parabolic boundary layer the SDFEM-parameter can be chosen of order @e^-^1^/^4N^-^2 which is also confirmed by numerical results.