Whitney Forms of Higher Degree

@article{Rapetti2009WhitneyFO,
  title={Whitney Forms of Higher Degree},
  author={Francesca Rapetti and Alain Bossavit},
  journal={SIAM J. Numerical Analysis},
  year={2009},
  volume={47},
  pages={2369-2386}
}
Low-order Whitney elements are widely used for electromagnetic field problems. Higher-order approximations are receiving increasing interest, but their definition remains unduly complex. In this paper we propose a new simple construction for Whitney p-elements of polynomial degree higher than one that use only degrees of freedom associated to p-chains. We provide a basis for these elements on simplicial meshes and give a geometrical localization of all degrees of freedom. Properties of the… CONTINUE READING

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