## Singular Hierarchical Curl-Conforming Vector Bases for Triangular Cells

- Roberto D. Graglia, Andrew F. Peterson, Ladislau Matekovits, Paolo Petrini
- IEEE Transactions on Antennas and Propagation
- 2014

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@article{Graglia2004SingularHO, title={Singular higher order complete vector bases for finite methods}, author={R. D. Graglia and Guido Lombardi}, journal={IEEE Transactions on Antennas and Propagation}, year={2004}, volume={52}, pages={1672-1685} }

- Published 2004 in IEEE Transactions on Antennas and Propagation

This paper presents new singular curl- and divergence-conforming vector bases that incorporate the edge conditions. Singular bases complete to arbitrarily high order are described in a unified and consistent manner for curved triangular and quadrilateral elements. The higher order basis functions are obtained as the product of lowest order functions and Silvester-Lagrange interpolatory polynomials with specially arranged arrays of interpolation points. The completeness properties are discussed… CONTINUE READING

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