Archivio Istituzionale della RicercaIn the recent past the authors have developed new hierarchical scalar and vector basis functions for modeling corner singularities in electromagnetic fields. The triangular cell bases (described in other papers) are of the additive kind, with singular bases superimposed with a full set of existing hierarchical nonsingular polynomial basis functions to form the representation. The present work and the Conference presentation are aimed at illustrating the accuracy and cost as the number of degrees of freedom are systematically incremented.
The performance of additive singular basis functions for triangles / Graglia, Roberto; Andrew F., Peterson; Matekovits, Ladislau; Petrini, Paolo. - (2013), pp. 1557-1560. (Intervento presentato al convegno Electromagnetics in Advanced Applications (ICEAA), 2013 International Conference on tenutosi a Torino nel 9-13 Sept.) [10.1109/ICEAA.2013.6632514].
The performance of additive singular basis functions for triangles
GRAGLIA, Roberto;MATEKOVITS, Ladislau;PETRINI, PAOLO
2013
Abstract
In the recent past the authors have developed new hierarchical scalar and vector basis functions for modeling corner singularities in electromagnetic fields. The triangular cell bases (described in other papers) are of the additive kind, with singular bases superimposed with a full set of existing hierarchical nonsingular polynomial basis functions to form the representation. The present work and the Conference presentation are aimed at illustrating the accuracy and cost as the number of degrees of freedom are systematically incremented.
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https://hdl.handle.net/11583/2537503
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