On the Dimension of Multivariate Piecewise Polynomials

@inproceedings{Alfeld1986OnTD,
  title={On the Dimension of Multivariate Piecewise Polynomials},
  author={Peter Alfeld},
  year={1986}
}
Lower bounds are given on the dimension of piecewise polynomial C 1 and C 2 functions de ned on a tessellation of a polyhedral domain into Tetrahedra. The analysis technique consists of embedding the space of interest into a larger space with a simpler structure, and then making appropriate adjustments. In the bivariate case, this approach reproduces the… CONTINUE READING