In this paper two basic issues concerning hypersingular boundary integral equations (HBIE's) for three-dimensional problems are addressed. Firstly, a new general method for the evaluation of all free-term coefficients is presented. Secondly, the so-called Tricomi-Mikhlin compatibility conditions at non-smooth bounday points are proved. In both cases. the analysis is performed in the parametric space and with deep recourse to differential geometry. The final formulas are quite simple. Numerical results are provided to test these theoretical findings.

Free terms and compatibility conditions for 3D hypersingular boundary integral equations

GUIGGIANI, MASSIMO
2001-01-01

Abstract

In this paper two basic issues concerning hypersingular boundary integral equations (HBIE's) for three-dimensional problems are addressed. Firstly, a new general method for the evaluation of all free-term coefficients is presented. Secondly, the so-called Tricomi-Mikhlin compatibility conditions at non-smooth bounday points are proved. In both cases. the analysis is performed in the parametric space and with deep recourse to differential geometry. The final formulas are quite simple. Numerical results are provided to test these theoretical findings.
2001
Frangi, A; Guiggiani, Massimo
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/177535
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 23
  • ???jsp.display-item.citation.isi??? 19
social impact