An Optimal Streamline Diffusion Finite Element Method for a Singularly Perturbed Problem

@inproceedings{Chen2005AnOS,
  title={An Optimal Streamline Diffusion Finite Element Method for a Singularly Perturbed Problem},
  author={Long Chen},
  year={2005}
}
The stability and accuracy of a streamline diffusion finite element method (SDFEM) on arbitrary grids applied to a linear 1-d singularly perturbed problem are studied in this paper. With a special choice of the stabilization quadratic bubble function, the SDFEM is shown to have an optimal second order in the sense that ‖u − uh‖∞ ≤ C infvh∈V h ‖u − vh… CONTINUE READING