High Order Ńed́elec Elements with local complete sequence properties

@inproceedings{Scoberl2004HighO,
  title={High Order Ńed́elec Elements with local complete sequence properties},
  author={Joachim Scḧoberl and Sabine Zaglmayr},
  year={2004}
}
The goal of the presented work is the efficient computation of Maxwell boundary and eigenvalue problems using high order H(curl) finite elements. We discuss a systematic strategy for the realization of arbitrary order hierarchic H(curl)conforming finite elements for triangular and tetrahedral element geometries. The shape functions are classified as lowestorder Nédélec, higher-order edge-based, face-based (only in 3D) and element-based ones. Our new shape functions provide not only the global… CONTINUE READING