Archivio Istituzionale della RicercaA new family of hierarchical vector bases is proposed for triangles and tetrahedra. These functions span the curl-conforming reduced-gradient spaces of Nédélec. 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.
Curl-conforming hierarchical vector bases for triangles and tetrahedra / Graglia, Roberto; Peterson, A. F.; Andriulli, F. P.. - In: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. - ISSN 0018-926X. - STAMPA. - 59:3(2011), pp. 950-959. [10.1109/TAP.2010.2103012]
Curl-conforming hierarchical vector bases for triangles and tetrahedra
GRAGLIA, Roberto;Peterson A. F.;
2011
Abstract
A new family of hierarchical vector bases is proposed for triangles and tetrahedra. These functions span the curl-conforming reduced-gradient spaces of Nédélec. 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.
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https://hdl.handle.net/11583/2414141
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