Solution of discontinuous interior Helmholtz problems by the boundary and shell element method

Computer Methods in Applied Mechanics and Engineering

Volumn 140, Issue 3-4, 1997, Pages 393-404

  Kirkup, Stephen M ^a  

^a UNIVERSITY OF SALFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; INTERPOLATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; PROBLEM SOLVING;

BOUNDARY AND SHELL ELEMENT METHOD; HELMHOLTZ EQUATION; SHELL DISCONTINUITIES;

BOUNDARY ELEMENT METHOD;

EID: 0030786878     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01117-6     Document Type: Article

References (17)

1. M.A. Jaswon and G.T. Symm, Integral Equation Methods in Potential Theory and Elastostatics (Academic Press, 1977).
2. C.A. Brebbia, The Boundary Element Method for Engineers (Pentech Press, Plymouth, 1978).
3. P.K. Banerjee and R. Butterfield, Boundary Element Methods in Engineering Science (McGraw-Hill, 1981).
4. G. Chen and J. Zhou, Boundary Element Methods, Computational Mathematics and Applications (Academic Press, 1992).
5. J. Ben Mariem and M. A. Hamdi, A new boundary element method for fluid-structure interaction problems, Int. J. Numer. Methods Engrg. 24 (1987) 1251-1267.
6. A.G.P. Warham, The Helmholtz integral equation for a thin shell NPL report DITC 129/88, National Physical Laboratory, Teddington, Middlesex, 1988.
7. S.M. Kirkup, Shell elements: their use in conjunction with boundary elements and in application to Laplace problems, Proceedings of the NUMETA 90 Conference, G.N. Pande and J. Middleton, eds., Vol. 1 (Elsevier, 1990) 222-229.
8. S.M. Kirkup and S. Amini, Solution of the Helmholtz eigenvalue problem via the boundary element method, Int. J. Numer. Methods Engrg. 36(2) (1993) 321-330.
9. S.M. Kirkup, The boundary and shell element method, Appl. Math. Model. 18 (1994) 418-422.
10. S.M. Kirkup, Fortran codes for computing the discrete Helmholtz integral operators: User guide, Report MCS-96-06, Department of Mathematics and Computer Science, University of Salford, Salford, UK, 1996.
11. A. Ruhe, Algorithms for the non-linear Eigenvalue problem, SIAM J. Numer. Anal. 10 (1973) 674-689.
12. P. Lancaster, A Review of Numerical Methods for Eigenvalue Problems Nonlinear in Parameter, Numerik und Andwendungen von Eigenwertaufgaben und Verzweigungsproblemen, E. Bohl, L. Collatz and K. P. Hedeler, eds., ISNM 38 (Basel-Stuttgart, Birkhauser, 1977).
13. R. Wobst, The generalized Eigenvalue problem and acoustic surface wave computations, Comput. 39 (1987) 57-69.
14. C.B. Moler and G.W. Stewart, An algorithm for generalized matrix Eigenvalue problems, SIAM J. Numer. Anal. 10(2) (1973) 241-256.
15. NAG Library, The Numerical Algorithms Group Oxford, UK.
16. I. Gohberg, P Lancaster and L. Rodman, Matrix Polynomials (Academic Press, 1982).
17. S.M. Kirkup, The computational modelling of acoustic shields by the boundary and shell element method, Comput. Struct. 40(5) (1991) 1177-1183.