Fictitious frequency for the exterior Helmholtz equation subject to the mixed-type boundary condition using BEMs

Mechanics Research Communications

Volumn 32, Issue 1, 2005, Pages 75-92

  Chen, Jeng Tzong ^a   Lin, Tzong Wey ^a   Chen, I Lin ^b   Lee, Yang Jye ^c  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

^b NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^c NATIONAL ILAN UNIVERSITY   (Taiwan)

Author keywords

Boundary element method; Fictitious frequency; Hypersingular formulation; Mixed type boundary condition; Semi analytical approach; Singular formulation

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTATIONAL METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

FICTITIOUS FREQUENCY; MIXED-TYPE BOUNDARY CONDITIONS; SEMI-ANALYTICAL APPROACH; SINGULAR FORMULATION;

BOUNDARY CONDITIONS;

EID: 8344258380     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2004.03.009     Document Type: Article

References (20)

1. Benthien G.W., Schenck H.A. Comput. Struct. 65:1997;295.
2. Burton A.J., Miller G.F. Proc. Roy. Soc. Lon. Ser. A. 323:1971;201.
3. Chen J.T. Mech. Res. Commun. 25(5):1998;529.
4. Chen J.T., Chen K.H. Engng. Analysis Bound. Elem. 21:1998;105.
5. Chen J.T., Hong H.-K. Appl. Mech. Rev. 52:1999;17-33.
6. Chen J.T., Kuo S.R. Mech. Res. Commun. 27(1):2000;49.
7. Chen J.T., Chen C.T., Chen K.H., Chen I.L. Mech. Res. Commun. 27(6):2000;685.
8. Chen J.T., Chen K.H., Chen I.L., Liu L.W. Mech. Res. Commun. 30(6):2003;161.
9. Dokumaci E. J. Sound Vib. 139(1):1990;83.
10. Juhl P. J. Sound Vib. 175(1):1994;39.
11. Kress R., Roach G.F. Proc. Roy. Soc. Edinburgh. 77A:1977;65.
12. Lee C.H., Sclavounos P.D. J. Fluid Mech. 207:1989;393.
13. Lee C.H., Newmn J.N., Zhu X. Int. J. Numer. Methods Fluids. 23:1996;637.
14. Malenica S., Chen X.B. Int. J. Offshore Polar Engng. 8(2):1998;110.
15. Matrin P.A. Quart. J. Mech. Appl. Math. 27:1980;386.
16. Ohmatsu, S. Papers of Ship Research Institute, 1983, p. 70.
17. Poulin, S., Ph.D. Dissertation of Department of Hydrodynamics and Water Resources, Technical University of Denmark, Lyngby, 1997.
18. Schenck H.A. J. Acoust. Soc. Am. 44(1):1968;41.
19. Seybert A.F., Rengarajan T.K. J. Acoust. Soc. Am. 81(5):1989;1299.
20. Ursell F. J. Fluid Mech. 143:1981;143.