New curl-conforming hierarchical vector basis functions are developed for quadrilateral and hexahedral cells. These bases are constructed from orthogonal polynomials and are shown to maintain superior linear independence as their polynomial order is increased. The procedure for constructing these basis functions is described and general expressions are provided for an arbitrary order.
Hierarchical curl-conforming Nedelec elements for quadrilateral and brick cells / Graglia, Roberto; Peterson, A. F.. - In: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. - ISSN 0018-926X. - STAMPA. - 59:8(2011), pp. 2766-2773. [10.1109/TAP.2011.2158789]
Hierarchical curl-conforming Nedelec elements for quadrilateral and brick cells
GRAGLIA, Roberto;
2011
Abstract
New curl-conforming hierarchical vector basis functions are developed for quadrilateral and hexahedral cells. These bases are constructed from orthogonal polynomials and are shown to maintain superior linear independence as their polynomial order is increased. The procedure for constructing these basis functions is described and general expressions are provided for an arbitrary order.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2432979
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