References
- [1]
- M. Petyt, J. Lea and G. H. Koopman (1976). A Finite
Element Method for Determining the Acoustic Modes of Irregular
Shaped Cavities, Journal of Sound and Vibration, 45(4), 495-502.
- [2]
- M. Petyt (1983). Finite Element Techniques for Acoustics,
in Theoretical Acoustics and Numerical Techniques edited by P. J. T
Filippi, Springer-Verlag.
- [3]
- M. A. Jaswon and G. T. Symm (1977). Integral
Equation Methods in Potential Theory and Elastostatics, Academic
Press, New York.
- [4]
- C. A. Brebbia (1980). The Boundary Element
Method for Engineers, Pentech Press, Plymouth.
- [5]
- G. Chen and J. Zhou (1992). Boundary Element Methods,
Academic Press, Computational Mathematics and Applications.
- [6]
- R. J. Bernhard, B. K. Gardner, C. G. Mollo and
C. R. Kipp (1987). Prediction of Sound Fields in Cavities Using
Boundary-Element Methods, AIAA Journal, 25, 1176-1183.
- [7]
- C. R. Kipp and R. J. Bernhard (1987). Prediction
of Acoustical Behavior in Cavities Using an Indirect Boundary Element
Method, ASME Journal of Vibration and Acoustics, 109, 22-28.
- [8]
- A. F. Seybert and C. Y. R. Cheng (1987). Application
of the Boundary Element Method to Acoustic Cavity Response and
Muffler Analysis, ASME Journal of Vibration, Acoustics, Stress, and
Reliability in Design, 119, 15-21.
- [9]
- G. R. C. Tai and R. P. Shaw (1974).
Helmholtz-Equation Eigenvalues and Eigenmodes for Arbitrary Domains,
Journal of the Acoustical Society of America, 56(3), 796-804.
- [10]
- G. De Mey (1976). Calculation of Eigenvalues of the
Helmholtz Equation by an Integral Equation, International Journal
for Numerical Methods in Engineering, 10, 59-66.
- [11]
- G. De Mey (1976). A Simplified Integral Equation Method
for the Calculation of the Eigenvalues of
Helmholtz Equation, International Journal
for Numerical Methods in Engineering, 10, 1340-1342.
- [12]
- J. O-O. Adeyeye (1982). Boundary Integral Equation
Methods for the Solution of Helmholtz Problems, PhD thesis,
Imperial College, University of London, UK.
- [13]
- Y. Niwa, S. Kobayashi and M. Kitahara (1982).
Determination of the Eigenvalues by Boundary Element Methods,
Developments in Boundary Elements, edited by P. K. Banerjee and
R. P. Shaw, 2, 143-176.
- [14]
- J. O-O. Adeyeye, M. J. M. Bernal and K. E. Pitman
(1985). An Improved Boundary Integral Equation Method for
Helmholtz Equations, International Journal for Numerical Methods in
Engineering, 21, 779-787.
- [15]
- P. K. Banerjee, S. Ahmad and H. C. Wang (1988). A New BEM
Formulation for the Acoustic Eigenfrequency Analysis, International
Journal for Numerical Methods in Engineering, 26, 1299-1309.
- [16]
- J. P. Coyette and K. R. Fyfe (1990). An Improved
Formulation for Acoustic Eigenmode Extraction from Boundary Element Models,
ASME Journal of Vibration and Acoustics, 112, 392-398.
- [17]
- A. Ali, C. Rajakumar and S. M. Yunus (1991). On the
Formulation of the Acoustic Boundary Element Eigenvalue Problems,
International Journal of Numerical Methods in Engineering,
31, 1271-1282.
- [18]
- S. M. Kirkup and S. Amini (1993). Solution of the
Helmholtz Eigenvalue Problem via the Boundary Element Method,
International Journal of Numerical Methods in Engineering,
36(2), 321-330.
- [19]
- N. Kamiya and E. Andoh (1993a). Standard
Eigenvalue Analysis by boundary-element method,
Communications in Numerical Methods in Engineering, 9, 489-495.
- [20]
- N. Kamiya and E. Andoh (1993b). Helmholtz
Eigenvalue Analysis by the boundary element method,
Journal of sound and Vibration, 160, 279-287.
- [21]
- N. Kamiya, E. Andoh and K. Nogae (1993c). Three-dimensional
eigenvalue analysis of the Helmholtz equation by multiple reciprocity
boundary element method, Advances in Engineering Software, 16,
203-207.
- [22]
- N. Kamiya, E. Andoh and K. Nogae (1993d).
Eigenvalue analysis by the boundary element method: new developments,
Engineering Analysis with Boundary Elements, 12, 151-162.
- [23]
- D. Nardini and C. A. Brebbia (1982). A New Approach to Free
Vibration Analysis using Boundary Elements, Proceedings 4th
International Conference on Boundary Element Methods,
edited by C. A. Brebbia, Springer Verlag, Berlin.
- [24]
- A. J. Nowak and C. A. Brebbia (1989). The multiple
reciprocity method. A new approach for transforming BEM domain integrals
to the boundary,
Engineering Analysis with Boundary Elements, 6, 164-167.
- [25]
- C. B. Moler and G. W. Stewart (1973). An Algorithm
for Generalized Matrix Eigenvalue Problems, SIAM Journal
of Numerical Analysis, 10(2), 241-256.
- [26]
- R. Wobst (1987). The Generalized Eigenvalue Problem and
Acoustic Surface Wave Computations, Computing, 39, 57-69.
- [27]
- Ya Yan Lu and Shing-Tung Yau (1991). Eigenvalues of the
Laplacian through Boundary Integral Equations, SIAM J. Matrix Anal.
Appl., 12(3), 597-609.
- [28]
- M. R. Bai (1992). Study of Acoustic Resonances in
Enclosures using Eigenanalysis based on Boundary Element Methods,
Journal of the Acoustical Society of America, 91(5), 2529-2538.
- [29]
- S. Ahmad and P. K. Banerjee (1986). Free Vibration
Analysis by BEM Using Particular Integrals, Journal of
Engineering Mechanics Div., ASCE, 113, 682-695.
- [30]
- D. P. N. Kontoni, P. W. Partridge and C. A. Brebbia
(1991). The Dual Reciprocity Boundary Element Method for the Eigenvalue
Analysis of Helmholtz Problems, Adv. Eng. Software, 1, 2-16.
- [31]
- G. H. Koopman and H. Benner (1982). Methods for
Computing the Sound Power of Machines based on the Helmholtz Integral,
Journal of the Acoustical Society of America, 71(1), 78-89.
- [32]
- H. A. Schenck and G. W. Benthien (1989). The
Application of a Coupled Finite-Element Boundary-Element Technique
to Large-Scale Structural Acoustic Problems, Proceedings of the
Eleventh International Conference on Boundary Elements
(Edited by C. A. Brebbia and J. J. Connor), 2, 309-318.
- [33]
- S. M. Kirkup and D. J. Henwood (1992). Methods
for Speeding up the Boundary Element Solution of Acoustic Radiation Problems,
ASME Journal of Vibration and Acoustics, 114(3), 374-380.
- [34]
- S. M. Kirkup and S. Amini (1991). Modal
Analysis of Acoustically-loaded Structures via Integral Equation Methods,
Computers and Structures, 40(5), 1279-1285.
- [35]
- V. N. Kublanovskaya (1970). On an Approach
to the Solution of the Generalized Latent Value Problem for
l-Matrices, SIAM Journal of Numerical Analysis,
7(4), 532-537.
- [36]
- P. Lancaster (1977). A Review of Numerical Methods
for Eigenvalue Problems Nonlinear in Parameter, Numerik und
Andwendungen von Eigenwertaufgaben und Verzweigungsproblemen (edited by
E. Bohl, L. Collatz and K. P. Hedeler) ISNM 38, Basel-Stuttgart, Birkhauser.
- [37]
- I. Gohberg, P. Lancaster and L. Rodman (1982).
Matrix Polynomials, Academic Press, New York.
- [38]
- A. Ruhe (1973). Algorithms for the Non-Linear Eigenvalue
Problem, SIAM Journal of Numerical Analysis, 10, 674-689.
- [39]
- NAG Library, The Numerical Algorithms Group, Oxford, UK.
- [40]
- S. M. Kirkup and D. J. Henwood (1994). An Empirical
Error Analysis of the Boundary Element Method applied to Laplace's
Equation, Applied Mathematical Modelling, 18, 32-38.
- [41]
- C. J. C. Jones (1986). Finite Element Analysis
of Loudspeaker Diaphragm Vibration and Prediction of the resulting
Sound Radiation, PhD thesis, Brighton Polytechnic, Brighton, UK.
- [42]
- D. J. Henwood (1993). The Boundary Element Method and
Horn Design, J. Audio Eng. Soc., 41(6), 485-496.
- [43]
- Kinsler and Frey (1962). Fundamentals of Acoustics,
2nd ed., Wiley, New York.
- [44]
- M. A. Jones (1989). The Pressure Inside an
Axially Symmetric Loudspeaker Enclosure, Internal Report,
Information Technology Research Institute, Brighton Polytechnic, UK.
- [45]
- M. A. Jones and D. J. Henwood (1991). Finite
Element Modelling of Loudspeaker Drive Units,
IMACS '91, edited by R. Vichnevetsky and J. J. H. Miller,
Criterion Press, Dublin, 4, 1998-1999.
- [46]
- M. A. Jones, D. J. Henwood and P. A. Fryer (1992a).
A Computer Model of the Vibration and the Sound Radiated by Loudspeaker
Diaphragms and its Validation, Acoustics Letters, 15(8),
143-152.
- [47]
- S. M. Kirkup (1990). Fortran Codes for Computing
the Discrete Helmholtz Integral Operators,
Report MCS-90-09 , Department of Mathematics and COmputer Science, University of Salford, UK,
- [48]
- M. A. Jones, L. A. Binks and D. J. Henwood (1992b).
Finite Element Methods Applied to the Analysis of High Fidelity
Loudspeaker Transducers, Computers and Structures, 44(4), 765-772.
of Mathematics and Computer Science, University of Salford, Salford, UK.