A new triangular spectral element method I: implementation and analysis on a triangle

@article{Samson2012ANT,
  title={A new triangular spectral element method I: implementation and analysis on a triangle},
  author={Michael Daniel Samson and Huiyuan Li and Li-Lian Wang},
  journal={Numerical Algorithms},
  year={2012},
  volume={64},
  pages={519-547}
}
This paper serves as our first effort to develop a new triangular spectral element method (TSEM) on unstructured meshes, using the rectangle–triangle mapping proposed in the conference note (Li et al. 2011). Here, we provide some new insights into the originality and distinctive features of the mapping, and show that this transform only induces a logarithmic singularity, which allows us to devise a fast, stable and accurate numerical algorithm for its removal. Consequently, any triangular… CONTINUE READING