Regularization of strongly singular integrals in boundary integral equations

Communications in Numerical Methods in Engineering

Volumn 12, Issue 11, 1996, Pages 787-793

  Amini, S ^a   Maines, N D ^a  

^a UNIVERSITY OF SALFORD   (United Kingdom)

Author keywords

Boundary integral equations; Hadamard finite part; Hypersingular integrals; Regularization

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION;

ANALYTIC CONTINUATION METHOD; BOUNDARY INTEGRAL EQUATIONS; FINITE PART VALUES; STRONGLY SINGULAR INTEGRALS;

BOUNDARY ELEMENT METHOD;

EID: 0030287085     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199611)12:11<787::AID-CNM19>3.0.CO;2-5     Document Type: Article

References (7)

1. S. Amini, P. J. Harris and D. T. Wilton, 'Coupled boundary and finite element methods for the solution of the dynamic fluid-structure interaction problem', Lect. Notes Eng., Springer-Verlag, Berlin, 77 (1992).
2. G. Chen and J. Zhou, Boundary Element Methods, Academic Press, London, 1992.
3. I. M. Gel'fand and G. E. Shilov, Generalized Functions, Volume 1: Properties and Operations, Academic Press, New York, London, 1964.
4. J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations, Yale Univ. Press, 1923 (Dover Publications, 1952).
5. S. Amini and N. D. Maines, 'Regularisation of strongly singular integrals in boundary integral equations', Tech. Report MCS-95-07, Dept. of Mathematics and Computer Science, University of Salford, M5 4WT, U.K., 1995.
6. P. A. Martin and F. J. Rizzo, 'Hypersingular integrals: How smooth must the density be?', Int. J. Num. Meth. Engng., 39, 687-704 (1995).
7. M. P. Bradnão, 'Improper integrals in theoretical aerodynamics: the problem revisited', AIAA J., 25, 1258-1260 (1987).