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Article Dans Une Revue IEEE Transactions on Antennas and Propagation Année : 2011

Curl-Conforming hierarchical vector bases for triangles and tetrahedra

Résumé

A new family of hierarchical vector bases is proposed for triangles and tetrahedra. These functions span the curl-conforming reduced-gradient spaces of N´ed´elec. The bases are constructed from orthogonal scalar polynomials to enhance their linear independence, which is a simpler process than an orthogonalization applied to the final vector functions. Specific functions are tabulated to order 6.5. Preliminary results confirm that the new bases produce reasonably well-conditioned matrices.

Domaines

Electronique

Dates et versions

hal-02135326 , version 1 (21-05-2019)

Identifiants

Citer

Roberto Graglia, Andrew Peterson, Francesco Andriulli. Curl-Conforming hierarchical vector bases for triangles and tetrahedra. IEEE Transactions on Antennas and Propagation, 2011, 59 (3), pp.950 - 959. ⟨10.1109/TAP.2010.2103012⟩. ⟨hal-02135326⟩
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