Bibliography

More recent and a wider range of BEM resource. Most are downloadable.

[1]
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.
[2]
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.
[3]
S. Amini, P. J. Harris and D. T. Wilton (1992). Coupled Boundary and Finite Element Methods for the Solution of the Dynamic Fluid-Structure Interaction Problem, in Lecture Notes in Engineering 77
[4]
S. Amini and S. M. Kirkup (1995). Solution of Helmholtz Equation in the Exterior Domain by Elementary Boundary Integral Methods, Journal of Computational Physics, 118, 208-221.
[5]
C. T. H. Baker (1977). The Numerical Treatment of Integral Equations, Clarendon Press, Oxford.
[6]
R. P. Banaugh and W. Goldsmith (1963). Diffraction of Steady Acoustic Waves by Surfaces of Arbitrary Shape, Journal of the Acoustical Society of America, bf 35(10), 1590-1601.
[7]
P. K. Banerjee and R. Butterfield (1981). Boundary Element Methods in Engineering Science, McGraw-Hill.
[8]
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.
[9]
W. A. Bell, W. L. Meyer and B.T. Zinn (1977). Predicting the acoustics of arbitrarily shaped bodies using an integral approach, AIAA Journal, 15(6), 813-820.
[10]
J. Ben Mariem and M. A. Hamdi (1987). A new Boundary Element Method for Fluid-Structure Interaction Problems, International Journal of Numerical Methods in Engineering, 24, 1251-1267.
[11]
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.
[12]
H. Brakhage and P. Werner (1965). [U\ddot]ber das Dirichletsche Aubenraumproblem f[u\ddot]r die Helmholtzsche Schwingungsgleichung, Archiv. der Math, 16, 325-329.
[13]
C. A. Brebbia (1978). The Boundary Element Method for Engineers, Pentech Press.
[14]
G. B. Brundrit (1964). A Solution to the Problem of Scalar Scattering from a Smooth, Bounded Obstacle using Integral Equations. Quarterly Journal of Mechanics and Applied Mathematics, Vol XVIII, Pt. 4, 473-489.
[15]
A. J. Burton and G. F. Miller (1971). The Application of Integral Equation Methods to the Numerical Solution of some Exterior Boundary Value Problems, Proc. Royal Society, London, A323, 201-210.
[16]
A. J. Burton (1973). The Solution of the Helmholtz Equation in Exterior Domains using Integral Equations. NPL Report NAC30, National Physical Laboratory, Teddington, Middlesex, UK.
[17]
A. J. Burton (1976). Numerical Solution of Acoustic Radiation Problems, NPL Report OC5/535, National Physical Laboratory, Teddington, Middlesex, UK.
[18]
L. H. Chen and D. G. Schweikert (1963). Sound Radiation from an Arbitrary Body, Journal of the Acoustical Society of America, 35(10), 1626-1632.
[19]
C. Y. R. Cheng, A. F. Seybert and T. W. Wu (1991). A Multidomain Boundary Element Solution for Silencer and Muffler Performance Prediction. Journal of Sound and Vibration, 151(1), 119-129.
[20]
G. Chen and J. Zhou (1992). Boundary Element Methods, Academic Press.
[21]
G. Chertock (1964). Sound Radiation from Vibrating Bodies, Journal of the Acoustical Society of America, 36(7), 1305-1313.
[22]
R. D. Ciskowski and C. A. Brebbia (1991). Boundary Element Methods in Acoustics. Computational Mechanics Publications, Southampton.
[23]
D. Colton and R. Kress (1983). Integral Equation Methods in Scattering Theory, John Wiley and Sons, New York.
[24]
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.
[25]
P. A. Davis and P. Rabinowitz (1984). Methods of Numerical Integration, Academic Press, Oxford.
[26]
L. M. Delves and J. L. Mohamed (1985) Computational Methods for Integral Equations, Cambridge University Press.
[27]
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.
[28]
I. Gohberg, P. Lancaster and L. Rodman (1982). Matrix Polynomials, Academic Press.
[29]
W. S. Hall (1994) The Boundary Element Method, Kluwer Academic Publishers Group, The Netherlands.
[30]
I. Harari and T. J. R. Hughes (1991). Finite Element Methods for the Helmholtz Equation in an Exterior Domain: Model Problems, Computer Methods in Applied Mechanics and Engineering, 87, 59-96.
[31]
Jeong-Guon Ih, Bong-Ki Kim and Won-Sik Choo (1995). Comparison of Eigenvalue Analysis Techniques in Acoustic Boundary Element Method, Euro-Noise 95, 591-596.
[32]
MATH/LIBRARY - Fortran routines for mathematical applications (1987). MALB-USM-PERFECT-1.0, IMSL, Houston.
[33]
Integrated Sound Software, Library of Integral Equation Methods in Acoustics.
[34]
M. A. Jaswon and G. T. Symm (1977). Integral Equation Methods in Potential Theory and Elastostatics, Academic Press.
[35]
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.
[36]
M. A. Jones, L. A. Binks and D. J. Henwood (1991). Finite Element Methods Applied to the Analysis of High Fidelity Loudspeaker Transducers, Computers and Structures.
[37]
P. Juhl (1994). A Numerical Study of the Coefficient Matrix of the Boundary Element Method Near Characteristic Frequencies, Journal of Sound and Vibration, 175(1), 39-50.
[38]
P. Juhl (1998). A note on the Convergence of the Direct Collocation Boundary Element Method, Journal of Sound and Vibration, 212(4), 703-719.
[39]
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.
[40]
S. M. Kirkup (1989). Solution of Exterior Acoustic Problems by the Boundary Element Method, PhD thesis, Brighton Polytechnic, Brighton, UK.
[41]
S. M. Kirkup and S. Amini (1991). Modal Analysis of Acoustically-loaded Structures via Integral Equation Methods, Computers and Structures, 40(5), 1279-1285.
[42]
S. M. Kirkup (1991). The Computational Modelling of Acoustic Shields by the Boundary and Shell Element Method, Computers and Structures, 40(5), 1177-1183.
[43]
S. M. Kirkup and D. J. Henwood (1992). Computational Solution of Acoustic Radiation Problems by Kussmaul's Boundary Element Method, Journal of Sound and Vibration, 158(2), 293-305.
[44]
S. M. Kirkup and D. J. Henwood (1992). Methods for speeding up the Boundary Element Solution of Acoustic Radiation Problems, Trans. ASME Journal of Vibration and Acoustics, 114(3), 374-380.
[45]
S. M. Kirkup and R. J. Tyrrell (1992). Computer-Aided Analysis of Engine Noise, International Journal of Vehicle Design, 13(4), 388-402.
[46]
S. M. Kirkup and S. Amini (1993). Solution of the Helmholtz Eigenvalue Problem via the Boundary Element Method, International Journal for Numerical Methods in Engineering 36(2), 321-330.
[47]
S. M. Kirkup (1994). The Boundary and Shell Element Method, Applied Mathematical Modelling, 18, 418-422, (1994).
[48]
S. M. Kirkup and M. A. Jones (1996). Computational Methods for the Acoustic Modal Analysis of an Enclosed Fluid with application to a Loudspeaker Cabinet, Applied Acoustics, 48(4), 275-299.
[49]
S. M. Kirkup (1997). Solution of Helmholtz Problems in Discontinuous Domains via the Boundary and Shell Element Method, Computer Methods in Applied Mechanics and Engineering, 140 3-4, 393-404.
[50]
S. M. Kirkup (1998). Fortran Codes for Computing the Discrete Helmholtz Integral Operators, Advances in Computational Mathematics, 9 391-409.
[51]
R. E. Kleinmann and G. F. Roach (1974). Boundary Integral Equations for the three-dimensional Helmholtz Equation SIAM Review, 16 (2), 214-236.
[52]
G. H. Koopman and H. Benner (1982). Method for Computing the Sound Power of Machines based on the Helmholtz Integral, The Journal of the Acoustical Society of America, 71(1), 78-89. Oxford University Press, Oxford.
[53]
S. Kopuz and N. Lalor (1995). Analysis of Interior Acoustic Fields Using the Finite Element Method and the Boundary Element Method, Applied Acoustics, 45, 193-210.
[54]
R. Kussmaul (1969). Ein numeriches Verfahren zur L[o\ddot]sung des Neumannschen Aubenraumproblems fur die Helmholtsche Schwingungsgleichung. Computing 4, 246-273.
[55]
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.
[56]
M. E. Laursen and M. Gellert (1978). Some Criteria for Numerically Integrated Matrices and Quadrature Formulas for Triangles, International Journal for Numerical Methods in Engineering 12, 67-76.
[57]
R. Leis (1965). Zur Dirichletschen Randwertaufgabe des Aubenraums der Schwingungsgleichung, Math. Z., 90, 205-211.
[58]
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.
[59]
I. C. Mathews (1986). Numerical Techniques for three-dimensional steady state Fluid-Structure Interaction, Journal of the Acoustical Society of America, 79(5), 1317-1325.
[60]
W. L. Meyer, W. A. Bell, B. T. Zinn and M. P. Stallybrass (1978). Boundary Integral Solutions of three dimensional Acoustic Radiation Problems, Journal of Sound and Vibration, 59(2), 245-262.
[61]
C. B. Moler and G. W. Stewart (1973). An Algorithm for Generalized Matrix Eigenvalue Problems, SIAM Journal of Numerical Analysis, 10(2), 241-256.
[62]
P. M. Morse and K. U. Ingard (1981), Theoretical Acoustics, McGraw-Hill.
[63]
NAG Fortran Library, The Numerical Algorithms Group Ltd, Oxford, UK.
[64]
D. J. Nefske, J. A. Wolf and L. J. Howell (1982). Structural-Acoustic Finite Element Analysis of the Automobile Passenger Compartment: A Review of Current Practice, Journal of Sound and Vibration, 80, 247-266.
[65]
D. J. Nefske and S. H. Sung (1985). Vehicle Interior Acoustic Design using Finite Element Methods, International Journal of Vehicle Design, 6(1), 24-39.
[66]
O. I. Panich (1965). On the Question of the Solvability of the Exterior Boundary Problem for the Wave Equation and Maxwell's Equation, Uspeki Mat. Nauk, 20, 221-226.
[67]
G. Peters and J. H. Wilkinson (1970). A x = lB x and the Generalized Eigenproblem, SIAM Journal of Numerical Analysis, 7(4), 479-492.
[68]
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.
[69]
M. Petyt (1983). Finite Element Techniques for Acoustics, in Theoretical Acoustics and Numerical Techniques edited by P. J. T Filippi, Springer-Verlag.
[70]
A. D. Pierce (1981). Acoustics: An Introduction to its Physical Principles and Applications, McGraw-Hill.
[71]
W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery (1992), Numerical Recipes in Fortran , Cambridge University Press.
[72]
J. J. do Rego Silva (1994). Acoustic and Elastic Wave Scattering using Boundary Elements, Topics in Engineering 18, Computational Mechanics Publications, Southampton and Boston.
[73]
A. Ruhe (1973). Algorithms for the Non-Linear Eigenvalue Problem, SIAM Journal of Numerical Analysis, 10, 674-689.
[74]
M. N. Sayhi, Y. Ousset and G. Verchery (1981). Solution of Radiation Problems by Collocation of Integral Formulations in terms of Single and Double Layer Potentials, Journal of Sound and Vibration, 74(2), 187-204.
[75]
H. A. Schenck (1968). Improved Integral Formulation for Acoustic Radiation Problems, Journal of the Acoustical Society of America, 44(1), 41-58.
[76]
A. F. Seybert and J. A. Holt (1985). A Technique for the Prediction of the Noise Field from an Arbitrary Vibrating Machine, Noise Con., 51-56.
[77]
A. F. Seybert and T. K. Rengarajan (1987). The use of CHIEF to obtain unique solutions for acoustic radiation using boundary integral equations, Journal of the Acoustical Society of America, 81(5), 1299-1306.
[78]
A. F. Seybert and T. K. Rengarajan (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.
[79]
A. H. Stroud and D. Secrest (1966). Gaussian Quadrature Formulas, Prentice Hall.
[80]
T. Terai (1980). On the Calculation of Sound Fields around three-dimensional Objects by Integral Equation Methods, Journal of Sound and Vibration, 69(1), 71-100.
[81]
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.
[82]
A. G. P. Warham (1989). The Helmholtz Integral Equation for a Thin Shell, NPL Report DITC 129/88, National Physical Laboratory, Teddington, Middlesex.
[83]
D. T. Wilton (1978). Acoustic Radiation and Scattering from Elastic Structures, International Journal for Numerical Methods in Engineering, 13, 123-128.
[84]
R. Wobst (1987). The Generalized Eigenvalue Problem and Acoustic Surface Wave Computations, Computing, 39, 57-69.



Stephen Kirkup's research papers on the BEM
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