New hierarchical basis functions are proposed for triangular cells with corner singularities. These functions are of the additive kind, and combine a traditional polynomial-complete scalar or a mixed-order vector representation on triangles with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. The functions are described, and the matrix condition numbers arising from their use are investigated.

Modeling Corner Singularities in Triangular Cells with Hierarchical Bases / Graglia, Roberto; A. F., Peterson; Matekovits, Ladislau; Petrini, Paolo. - ELETTRONICO. - (2013), pp. 7-11. (Intervento presentato al convegno The 29th International Review of Progress in Applied Computational Electromagnetics tenutosi a Monterey, USA. nel 24 - 28 March 2013).

Modeling Corner Singularities in Triangular Cells with Hierarchical Bases

GRAGLIA, Roberto;MATEKOVITS, Ladislau;PETRINI, PAOLO
2013

Abstract

New hierarchical basis functions are proposed for triangular cells with corner singularities. These functions are of the additive kind, and combine a traditional polynomial-complete scalar or a mixed-order vector representation on triangles with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. The functions are described, and the matrix condition numbers arising from their use are investigated.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2511701
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