C. A. Brebbia and A. J. Nowak. A new approach for transforming domain integrals to the boundary. In R. Gruber, J. Periaux, and R. P. Shaw, editors, Proceedings of the fifth International Symposium on Numerical Method in Engineering-Vol.1,page 73-85. Comp. Mech Publications and Springer-Verlog, 1989. Lausanne,
Switzerland, p.11-19, Sep. 1989.
J. T. Chen, Recent Development of Dual BEM in Acoustic Problems,
Keynote lecture, Proceedings of the 4th World Congress on Computational Mechanics, E. Onate and S. R. Idelsohn (eds),
Argentina, p.106, 1998.
J. T. Chen, On a Dual Integral Representation and Its Applications to Computational Mechanics, Ph.D. Dissertation, Department of Civil Engineering, National Taiwan University, 1994.
J. T. Chen and K. H. Chen, Dual integral formulation for determining the acoustic modes of a two-dimensional cavity with a degenerate boundary,Engng. Anal. Bound. Elem.,21(2), p.105-116 ,1998.
J. T. Chen, K. H. Chen and S. W. Chyuan, Numerical experiments for acoustic modes of a square cavity using dual BEM, Appl. Acoust., Vol.57, No.4, p.293-325, 1999.
J. T. Chen and H.-K. Hong, Boundary element method, New World Press 2nd Ed., Taipei, Taiwan, 1992 (in Chinese).
J. T. Chen and H.-K. Hong, On the Dual Integral Representation of Boundary Value Problem in Laplace Equation, Boundary Element Abstracts, 3, p.114-116, 1993.
J. T. Chen and H.-K. Hong, Boundary Element Analysis and Design in Seepage Flow Problems with Sheetpiles, Finite Elements in Analysis and Design, 17, p.1-20, 1994.
J. T. Chen and H.-K. Hong, Dual Boundary Integral Equations at a
Corner Using Contour Approach around Singularity, Advances in Engineering Softwares, 21, p.169-178, 1994.
J. T. Chen and H.-K. Hong,
Review of dual integral representations with emphasis on hypersingular integrals and divergent series, Trans. ASME, Appl. Mech. Rev., 52(1), p.17-33, 1999.
J. T. Chen, C. S. Huang and F. C. Wong, Analysis and experiment for acoustic modes of a cavity containing an incomplete partition, Proceedings of the Fourth National Conference on
Structural Engineering, Vol.1, p.349-356, 1998.
J. T. Chen, C. X. Huang and K. H. Chen, Determination of spurious eigenvalues and multiplicities of true eigenvalues
using the real-part dual BEM, Comp. Mech., Accepted, 1999.
J. T. Chen, C. X. Huang and F. C. Wong, Determination of spurious eigenvalues and multiplicities of true eigenvalues in the dual multiple reciprocity method using the singular value decomposition technique, J. Sound Vib., Revirsed, 1999.
J. T. Chen, M. T. Liang and S. S. Yang, Dual Boundary Integral
Equations for Exterior Problems, Engineering Analysis with Boundary Elements, 16, p.333-340, 1996.
J. T. Chen, M. T. Liang, I. L. Chen, S. W. Chyuan and K. H. Chen, Dual boundary element analysis of wave scattering from singularities, Wave Motion, Accepted, 1999.
J. T. Chen and F. C. Wong, Analytical derivations for one-dimensional eigenproblems using dual BEM and MRM,Engng. Anal. Bound. Elem., 20(1), p.25-33, 1997.
J. T. Chen and F. C. Wong, Dual formulation of multiple reciprocity method for the acoustic mode of a cavity with a thin partition, J. Sound Vib., 217(1), p.75-95, 1998.
K. H. Chen, J. T. Chen and D. Y. Liou, Dual boundary element analysis for an acoustic cavity with an incomplete partition,
Chinese J. Mech., 14(2), p.1-14, 1998 (in Chinese).
J. R. Chang, W. Yeih and J. T. Chen, Determination of natural frequencies and natural modes using the dual BEM in conjunction with the superelement concept, Computational Mechanics, Accepted, 1999.
G. De Mey, Calculation of the Helmholtz equation by an integral equation, Int. J. Num. Meth. Engng., 10, p.59-66, 1976.
G. De Mey, A simplified integral equation method for the calculation of the eigenvalues of Helmholtz equation, Int. J. Num. Meth. Engng., 11, p.1340-1342, 1977.
D. Givoli and S. Vigdergauz, Finite element analysis of wave scattering from singularities, Wave Motion, 20, p.165-176, 1994.
G. M. L. Gladwell, Procedings of 5th International on Acoustics. A finite element method for acoustics, 1965.
J. L. Goldberg, Matrix Theory with Applications,
McGraw-Hill, New York, 1991.
G. H. Gloub and C. F. Van Loan, Matrix Computations, 2nd edition, The Johns Hopkins University Press, Baltimore, 1989.
H.-K. Hong and J. T. Chen, Derivation of Integral equations in
Elasticity, J. Eng. Mech. Div., ASCE, 114, p.1028-1044, 1988.
J. R. Hutchinson, Vibration of Plates, in Boundary Elements X,
Vol. 4, C. A. Brebbia (ed), Springer-Verlag, Berlin, p.415,430, 1988.
J. R. Hutchinson, An Alternative BEM Formulation Applied to Membrane Vibrations, in Boundary Elements VII, C. A. Brebbia and G. Maier Eds., Springer-Verlag, 1985.
J. R. Hutchinson, Analysis of Plates and Shells by Boundary Collocation,in Boundary Elements Analysis of Plates and Shells, D. E. Beskos (ed), Springer-Verlag, Berlin, p.314-368, 1991.
N. Kamiya and E. Andoh, A Note on Multiple Reciprocity Integral Formulation for Helmholtz Equation, Communications in Numerical Methods in Engineering, 9, p.9-13, 1993.
N. Kamiya, E. Ando and K. Nogae, A New Complex-valued formulation and eigenvalue analysis of the Helmholtz Equation by Boundary Element Method, Advances in Engineering Softwares, 26, p.219-227, 1996.
M.T. Liang, J.T. Chen and S.S. Yang, Error Estimation for Boundary Element Method, to Appear in Computers and Structures, 1996.
D. Y. Liou, J. T. Chen and K. H. Chen, A new method for determining the acoustic modes of a two-dimensional sound field,
J. Chinese Inst. Civ. Hydr. Engng., Accepted, 1999 (in Chinese).
A. J. Nowak and A. C. Neves, eds., Multiple Reciprocity Boundary Element Method, Southampton: Comp. Mech. Publ., 1994.
A. J. Nowak and C. A. Brebbia, The Multiple Reciprocity Method --- A New Approach for Transforming BEM.Domain Integrals to the Boundary, Engineering Analysis with Boundary Elements, 6, p.164-167, 1989.
A. J. Nowak, Temperature field in domain with heat sources using boundary-only formulation. In C. A. Brebbia, editor, Boundary Element Method X-Vol.2 Heat Transfer, Fluid Flow and Electrical Applications, p.233-247. Comp. Mech. Publications
and Springer-Verlag, 1988.
A. J. Nowak, The Multiple Reciprocity Method of solving heat conduction problem. In. C. A. Brebbia and J.J. Connor, editor,
Advances in Boundary Elements-Vol.2. Field and Fluid Flow Solutions, pages 81-95. Comp. Mech. Publications and Springer-Verlag, 1989. Proceedings of the elenth International Conference on Boundary Element Methods, Cambridge, Massachusetts
, USA, August, 1989.
A. J. Nowak, Solving linear heat transfer problems by the Multiple Reciprocity Method. In L. C. Wrobel and C. A. Brebbia, editors, Boundary Element Method for Heat transfer, chapter 3, page 63-122. Comp. Mech. Publications and Elsevier Applied Sciense, Inernational Series on Computational Engineering, 1992.
A. J. Nowak and C. A. Brebbia. Numerical verification of the Multiple Reciprocity Method for linear potential problems with body forces. Engineering Analysis with Boundary Elements, 10(3), p.253-266, 1992.
W. T. Press, S. A. Teukosky, W. T. Vetterling and B. P. Flannery,Numerical Recipes in FORTRAN, 2nd edition, Cambridge University Press, New York, 1992.
M. Petyt, G. H. Koopman and Pinnington, Acoustic modes of rectangular cavity with a rigid incomplete partition, J. Sound and Vibration, 53, p.71-82, 1997.
M. Petyt, J. Lea and G. H. Koopman,
A finite element method for determining the acoustic modes of
irregular shapes cavities, J. Sound and Vibration, 45, p.495-502, 1976.
N.A. Silva and W. S. Venturini, Dual Reciprocity Process Applied to Solve Bending Plate on Elastic Foundations, in Boundary Elements X, Vol. 3, Computational Mechanics Publacations, Southampton and Springer-Verlag, Berlin and New York, 1988.
G. R. G. Tai and R. P. Shaw, Helmholtz equation eigenvalues and eigenmodes for arbitrary domains, J. Acou. Soc. Amer., 56, p.796-804, 1974.
W. Yeih, J. T. Chen and C. M. Chang,
Applications of dual MRM for determining the natural frequencies
and natural modes of an Euler-Bernoulli beam using the singular value decomposition method, Engng Anal. Bound. Elem.,
Accepted ,1999.
W. Yeih, J. T. Chen, K. H. Chen, and F. C. Wong, A study on the
multiple reciprocity method and complex-valued formulation for the Helmholtz equation, Adv. Engng. Software, 29(1), p.7-12, 1997.
W. Yeih, J. R. Chang, C. M. Chang and J. T. Chen, Applications of dual MRM for determining the natural frequencies and natural modes of a rod using the singular value decomposition method, Advances in Engineering Software, Accepted ,1999.
MSC/ABAQUS User Manual, MSC Version 5.5, 1996.
翁煥昌,不完全隔間小空間聲場自然聲模分析與實驗,國立台灣海洋大學河海工程學研究所碩士論文,基隆,1997。陳桂鴻,對偶邊界積分方程式在聲場上之應用,國立台灣海洋大學河海工程學研究所碩士論文,基隆,1997。楊森翔,對偶邊界元素法在外域問題上的應用,國立台灣海洋大學河海工程學研究所碩士論文,基隆,1996。