Scalar and vector basis functions are developed for modeling corner singularities in electromagnetic fields. These functions are additive as opposed to substitutive; instead of replacing certain basis functions, singular bases are superimposed with a full set of existing hierarchical nonsingular polynomial basis functions to form the representation. The functions are described for triangular cells, and results are provided to illustrate their performance in terms of solution accuracy and matrix condition number.
Hierarchical Additive Basis Functions for the Finite-Element Treatment of Corner Singularities / Graglia, Roberto; Andrew F., Peterson; Matekovits, Ladislau; Petrini, Paolo. - In: ELECTROMAGNETICS. - ISSN 0272-6343. - STAMPA. - 34:3-4(2014), pp. 171-198. [10.1080/02726343.2014.877746]
Hierarchical Additive Basis Functions for the Finite-Element Treatment of Corner Singularities
GRAGLIA, Roberto;MATEKOVITS, Ladislau;PETRINI, PAOLO
2014
Abstract
Scalar and vector basis functions are developed for modeling corner singularities in electromagnetic fields. These functions are additive as opposed to substitutive; instead of replacing certain basis functions, singular bases are superimposed with a full set of existing hierarchical nonsingular polynomial basis functions to form the representation. The functions are described for triangular cells, and results are provided to illustrate their performance in terms of solution accuracy and matrix condition number.Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2543089
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo