Abstract
Classical methods for solving continuum problems in engineering generally make use of some form of domain discretization — a grid in the case of the finite difference method, and a series of elements in the case of the finite element method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Selected DRM Bibliography
Nardini, D. and Brebbia, C. A. A New Approach to Free Vibration Analysis using Boundary Elements, in Boundary Element Methods in Engineering, Computational Mechanics Publications, Southampton, and Springer-Verlag, Berlin and New York, 1982.
Nardini, D. and Brebbia, C. A. Transient Dynamic Analysis by the Boundary Element Method, in Boundary Elements V, Computational Mechanics Publications, Southampton, and Springer-Verlag, Berlin and New York, 1983.
Brebbia, C. A. and Nardini, D. Dynamic Analysis in Solid Mechanics by an Alternative Boundary Element Procedure, International Journal of Soil Dynamics and Earthquake Engineering, Vol. 2, No. 4, pp 228–233, 1983.
Brebbia, C. A. The Solution of Time Dependent Problems using Boundary Elements, in The Mathematics of Finite Elements V, Academic Press, London, 1985.
Nardini, D. and Brebbia, C. A. Applications of an Alternative Boundary Element Procedure in Elastodynamics, in Variational Methods in Engineering, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1985.
Nardini, D. and Brebbia, C. A. Boundary Integral Formulation of Mass Matrices for Dynamic Analysis, in Topics in Boundary Element Research, Vol. 2, Springer-Verlag, Berlin and New York, 1985.
Nardini, D. and Brebbia, C. A. The Solution of Parabolic and Hyperbolic Problems using an Alternative Boundary Element Formulation, in Boundary Elements VII, Vol. 1, Computational Mechanics Publications, Southampton, and Springer-Verlag, Berlin and New York, 1985.
Wrobel, L. C., Nardini, D. and Brebbia, C. A. Analysis of Transient Thermal Problems in the BEASY System, in BETECH/86, Computational Mechanics Publications, Southampton, 1986.
Nardini, D. and Brebbia, C. A. Transient Boundary Element Elastodynamics using the Dual Reciprocity Method and Modal Superposition, in Boundary Elements VIII, Vol. 1, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1986.
Brebbia, C. A. Boundary Element Solution of Elastodynamic Problems using a New Technique, in Innovative Numerical Methods in Engineering, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1986.
Wrobel, L. C., Brebbia, C. A. and Nardini, D. The Dual Reciprocity Boundary Element Formulation for Transient Heat Conduction, in Finite Elements in Water Resources VI, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1986.
Niku, S. M. and Brebbia, C. A. Dual Reciprocity Boundary Element Formulation for Potential Problems with Arbitrarily Distributed Forces, Technical Note, Engineering Analysis, Vol. 5, No. 1, pp 46–48, 1988.
Wrobel, L. C. and Brebbia, C. A. The Dual Reciprocity Boundary Element Formulation for Non-Linear Diffusion Problems, Computer Methods in Applied Mechanics and Engineering,Vol. 65, No. 2, pp 147–164, 1987.
Wrobel, L. C., Telles, J. C. F. and Brebbia, C. A. A Dual Reciprocity Boundary Element Formulation for Axisymmetric Diffusion Problemsin Boundary Elements VIII, Vol. 1, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1986.
Brebbia, C. A. and Wrobel, L. C. Non-linear Transient Thermal Analysis using the Dual Reciprocity Method, in BETECH/87, Computational Mechanics Publications, Southampton, 1987.
Partridge, P. W. and Brebbia, C. A. Computer Implementation of the BEM Dual Reciprocity Method for the Solution of Poisson Type Equations, Software for Engineering Workstations, Vol. 5, No. 4, pp 199–206, 1989.
Partridge, P. W. and Brebbia, C. A. Computer Implementation of the BEM Dual Reciprocity Method for the Solution of General Field Problems, Communications in Applied Numerical Methods, Vol. 6, No. 2, pp 83–92, 1990.
Partridge, P. W. and Brebbia, C. A. The BEM Dual Reciprocity Method for Diffusion Problems, in Computational Methods in Water Resources VIII, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1990.
Partridge, P. W. and Wrobel, L. C. The Dual Reciprocity Boundary Element Method for Spontaneous Ignition, International Journal for Numerical Methods in Engineering, Vol. 30, 1990.
Partridge, P. W. and Brebbia, C. A. On Derivatives of the Problem Unknowns in BEM Analysis, Technical Note, Engineering Analysis, Vol. 7, No. 1, pp 50–52, 1990.
Partridge, P. W. and Brebbia, C. A. The Dual Reciprocity Boundary Element Method for the Helmholtz Equation, in European Boundary Element Symposium, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1990.
Brebbia, C. A. On the Treatment of Domain Integrals in Boundary Elements, in BETECH/89, Computational Mechanics Publications, Southampton, 1989.
Brebbia, C. A. On Two Different Methods for Transforming Domain Integrals to the Boundary, in Boundary Elements XI, Vol. 1, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1989.
Loeffler, C. F. and Mansur, W. J. Dual Reciprocity Boundary Element Formulation for Transient Elastic Wave Propagation in Infinite Domains, in Boundary Elements XI, Vol. 2, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1989.
Loeffler, C. F. and Mansur, W. J. Dual Reciprocity Boundary Element Formulation for Potential Problems in Infinite Domains, in Boundary Elements X, Vol. 2, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1988.
Kamiya, N. and Sawaki, Y. The Plate Bending Analysis by the Dual Reciprocity Boundary Elements, Engineering Analysis, Vol. 5, No. 1, pp 36–40, 1988.
Sawaki, Y., Takeuchi, K. and Kamiya, N. Finite Deflection Analysis of Plates by Dual Reciprocity Boundary Elements, in Boundary Elements XI, Vol. 3, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1989.
Silva, N. A. and Venturini, W. S. Dual Reciprocity Process Applied to Solve Bending Plates on Elastic Foundations, in Boundary Elements X, Vol. 3, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1988.
Singh, K.M. and Kalra, M. S. A Least Squares Time Integration Scheme for the Dual Reciprocity BEM in Transient Heat Conduction, in Numerical Methods in Thermal Problems VI, Vol. 1, Pineridge Press, Swansea, 1989.
Further Reading Boundary Element Methods Conference Proceedings
Brebbia, C. A. (Ed) Recent Advances in Boundary Element Methods, Pentech Press, London, 1978.
Brebbia, C. A. (Ed) New Developments in Boundary Element Methods, Computational Mechanics Publications, Southampton, 1980.
Brebbia, C. A. (Ed) Boundary Element Methods, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1981.
Brebbia, C. A. (Ed) Boundary Element Methods in Engineering, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1982.
Brebbia, C. A., Futagami, T. and Tanaka, M. (Eds) Boundary Elements V, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1983.
Brebbia, C. A. (Ed) Boundary Elements VI, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1984.
Brebbia, C. A. and Maier, G. (Eds) Boundary Elements VII, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1985.
Tanaka, M. and Brebbia, C. A. (Eds) Boundary Elements VIII, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1986.
Brebbia, C. A., Wendland, W. L. and Kuhn, G. (Eds) Boundary Elements IX, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1987.
Brebbia, C. A. (Ed) Boundary Elements X, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1988.
Brebbia, C. A. and Connor, J.J. (Eds) Boundary Elements XI, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1989.
Brebbia, C. A. Tanaka, M. and Honma, T. (Eds) Boundary Elements XII, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1990.
Boundary Element Technology Conference Proceedings
Brebbia, C. A. and Noye, B. J. (Eds) BETECH/85, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1985.
Brebbia, C. A. and Connor, J. J. (Eds) BETECH/86, Computational Mechanics Publications, Southampton, 1986.
Brebbia, C. A. and Venturini, W. S. (Eds) BETECH/87, Computational Mechanics Publications, Southampton, 1987.
Brebbia, C. A. and Zamani, N. G. (Eds) BETECH/89, Computational Mechanics Publications, Southampton, 1989.
Cheng, A. H. D., Brebbia, C. A. and Grilli, S. (Eds) BETECH/90, Computational Mechanics Publications, Southampton, 1990.
Other BEM Meetings
Brebbia, C. A. and Chaudouet-Miranda, A. (Eds) European Boundary Element Symposium, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1990.
Tanaka, M., Brebbia, C. A. and Shaw, R. (Eds) USA/Japan BEM Seminar, Computational Mechanics Publications, Southampton, 1990.
State-of-the-Art Books
Brebbia, C. A. (Ed) Progress in Boundary Element Methods, Vol. I, Pentech Press, London, 1981.
Brebbia, C. A. (Ed) Progress in Boundary Element Methods, Vol. II, Pentech Press, London, 1983.
Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. I: Basic Principles and Applications, Springer-Verlag, Berlin and New York, 1984.
Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. II: Time-Dependent and Vibration Problems, Springer-Verlag, Berlin and New York, 1985.
Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. III: Mathematical Aspects, Springer-Verlag, Berlin and New York, 1987.
Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. IV: Applications in Geomechanics, Springer-Verlag, Berlin and New York, 1987.
Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. V: Viscous Flow Applications, Springer-Verlag, Berlin and New York, 1989.
Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. VI: Electromagnetic Applications, Springer-Verlag, Berlin and New York, 1989.
Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. VII: Electrostatics Applications, Springer-Verlag, Berlin and New York, 1990.
Wrobel, L. C. and Brebbia, C. A. (Eds) Advances in Boundary Element Methods for Heat Transfer, Computational Mechanics Publications, Southampton, 1991.
Ciskowski, R. D. and Schenck, H. A. (Eds) Advances in Boundary Element Methods for Acoustics, Computational Mechanics Publications, Southampton, 1991.
Aliabadi, M. (Ed) Advances in Boundary Element Methods for Fracture Mechanics, Computational Mechanics Publications, Southampton, 1991.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Computational Mechanics Publications
About this chapter
Cite this chapter
Partridge, P.W., Brebbia, C.A., Wrobel, L.C. (1992). Introduction. In: The Dual Reciprocity Boundary Element Method. International Series on Computational Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3690-7_1
Download citation
DOI: https://doi.org/10.1007/978-94-011-3690-7_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-700-0
Online ISBN: 978-94-011-3690-7
eBook Packages: Springer Book Archive