Vector functions for singular fields on curved triangular elements, truly defined in the parent space

@article{Graglia2002VectorFF,
  title={Vector functions for singular fields on curved triangular elements, truly defined in the parent space},
  author={Roberto D. Graglia and Guido Lombardi},
  journal={IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313)},
  year={2002},
  volume={1},
  pages={62-65 vol.1}
}
This paper presents singular curl- and divergence-conforming functions of interpolative kind on curved triangular elements, directly defined in their parent triangle of area coordinates (/spl xi//sub 1//spl xi//sub 2;/ /spl xi//sub 3/=1-/spl xi//sub 1/-/spl xi//sub 2/), without introducing any intermediate (polar) reference frame as previously done in other works. Curl-conforming functions are useful in the FEM solution of the transverse vector Helmholtz equation, whereas divergence-conforming… CONTINUE READING

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