On direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics

Acta Mechanica

Volumn 162, Issue 1-4, 2003, Pages 99-110

  Iovane, G ^a   Lifanov, I K ^b   Sumbatyan, M A ^c  

^a UNIVERSITY OF SALERNO   (Italy)

^b N E Zhukovsky AF Eng Academy   (Russian Federation)

^c SOUTHERN FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELASTICITY; FLUID MECHANICS; INTEGRAL EQUATIONS;

WAVE DYNAMICS;

ACOUSTICS;

EID: 0037872126     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-002-1007-9     Document Type: Article

References (10)

1. Gradshteyn, I. S., Ryzhik, I. M.: Table of integrals, series and products. London: Academic Press 1980.
2. Gel'fand, I. M., Shilov, G. E.: Generalized functions, vol.1. New York London: Academic Press 1964.
3. Banerjee, P. K., Butterfield, R.: Boundary element methods in engineering science. New York: MCGraw-Hill 1981.
4. Belotserkovsky, S. M., Lifanov, I. K.: Method of discrete vortices. Boca Raton: CRC Press 1993.
5. Lifanov, I. K.: Singular integral equations and discrete vortices. The Netherlands: VSP 1996.
6. Samko, S. G.: Hypersingular integrals and their applications. In: Analytical Methods and Special Functions, vol.5. Gordon & Breach 2000.
7. Gakhov, F. D.: Boundary value problems. Oxford: Pergamon Press 1966.
8. Menon, G., Paulino, G. H., Mukherjee, S.: Analysis of hypersingular residual error in boundary element methods for potential problems. Comp. Methods Appl. Mech. Eng. 173, 449-473 (1999).
9. 3. SIAM J. Sci. Comp. 20, 739-749 (1999).
10. Fannjiang, A. C., Chan, Y.-S., Paulino, G. H.: Strain gradient elasticity for mode III crack: a hypersingular integrodifferential equation approach. SIAM J. Appl. Math. 62, 1066-1091 (2001).