Archivio Istituzionale della RicercaA new family of hierarchical divergence-conforming vector bases is proposed for tetrahedral, prism and brick cells. These functions span the divergence-conforming reduced-curl 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. These basis are intended for use with numerical solutions of volume integral equations or differential equations containing divergence operators.
Hierarchical Divergence-Conforming Nedelec Elements for Volumetric Cells / Graglia, Roberto; Andrew F., Peterson. - In: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. - ISSN 0018-926X. - STAMPA. - 60:11(2012), pp. 5215-5227. [10.1109/TAP.2012.2208086]
Hierarchical Divergence-Conforming Nedelec Elements for Volumetric Cells
GRAGLIA, Roberto;
2012
Abstract
A new family of hierarchical divergence-conforming vector bases is proposed for tetrahedral, prism and brick cells. These functions span the divergence-conforming reduced-curl 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. These basis are intended for use with numerical solutions of volume integral equations or differential equations containing divergence operators.
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https://hdl.handle.net/11583/2505110
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