Abstract
Two model two-dimensional singularly perturbed convection-diffusion problems are considered whose solutions may have characteristic boundary and interior layers. They are solved numerically by the streamline-diffusion finite element method using piecewise linear or bilinear elements. We investigate how accurate the computed solution is in characteristic-layer regions if anisotropic layer-adapted meshes are used. It is shown that the streamline-diffusion formulation may, in the maximum norm, imply only first-order accuracy in characteristic-layer regions. Numerical experiments are presented that support our theoretical predictions.
Original language | English |
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Pages (from-to) | 4875-4889 |
Number of pages | 15 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 193 |
Issue number | 45-47 |
DOIs | |
Publication status | Published - 12 Nov 2004 |
Keywords
- Convection-diffusion
- Interior layer
- Layer-adapted meshes
- Parabolic boundary layer
- SDFEM
- Singular perturbation