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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.

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Selected DRM Bibliography

  1. 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.

    Google Scholar 

  2. 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.

    Google Scholar 

  3. 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.

    Article  Google Scholar 

  4. Brebbia, C. A. The Solution of Time Dependent Problems using Boundary Elements, in The Mathematics of Finite Elements V, Academic Press, London, 1985.

    Google Scholar 

  5. 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.

    Google Scholar 

  6. 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.

    Google Scholar 

  7. 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.

    Google Scholar 

  8. 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.

    Google Scholar 

  9. 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.

    Google Scholar 

  10. 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.

    Google Scholar 

  11. 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.

    Google Scholar 

  12. 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.

    Article  Google Scholar 

  13. 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.

    Article  MATH  Google Scholar 

  14. 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.

    Google Scholar 

  15. 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.

    Google Scholar 

  16. 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.

    Google Scholar 

  17. 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.

    Article  MathSciNet  MATH  Google Scholar 

  18. 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.

    Google Scholar 

  19. 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.

    Google Scholar 

  20. 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.

    Google Scholar 

  21. 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.

    Google Scholar 

  22. Brebbia, C. A. On the Treatment of Domain Integrals in Boundary Elements, in BETECH/89, Computational Mechanics Publications, Southampton, 1989.

    Google Scholar 

  23. 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.

    Google Scholar 

  24. 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.

    Google Scholar 

  25. 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.

    Google Scholar 

  26. 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.

    Article  Google Scholar 

  27. 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.

    Google Scholar 

  28. 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.

    Google Scholar 

  29. 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.

    Google Scholar 

Further Reading Boundary Element Methods Conference Proceedings

  1. Brebbia, C. A. (Ed) Recent Advances in Boundary Element Methods, Pentech Press, London, 1978.

    MATH  Google Scholar 

  2. Brebbia, C. A. (Ed) New Developments in Boundary Element Methods, Computational Mechanics Publications, Southampton, 1980.

    MATH  Google Scholar 

  3. Brebbia, C. A. (Ed) Boundary Element Methods, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1981.

    Google Scholar 

  4. Brebbia, C. A. (Ed) Boundary Element Methods in Engineering, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1982.

    Google Scholar 

  5. Brebbia, C. A., Futagami, T. and Tanaka, M. (Eds) Boundary Elements V, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1983.

    Google Scholar 

  6. Brebbia, C. A. (Ed) Boundary Elements VI, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1984.

    Google Scholar 

  7. Brebbia, C. A. and Maier, G. (Eds) Boundary Elements VII, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1985.

    Google Scholar 

  8. Tanaka, M. and Brebbia, C. A. (Eds) Boundary Elements VIII, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1986.

    Google Scholar 

  9. 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.

    Google Scholar 

  10. Brebbia, C. A. (Ed) Boundary Elements X, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1988.

    Google Scholar 

  11. Brebbia, C. A. and Connor, J.J. (Eds) Boundary Elements XI, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1989.

    Google Scholar 

  12. Brebbia, C. A. Tanaka, M. and Honma, T. (Eds) Boundary Elements XII, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1990.

    Google Scholar 

Boundary Element Technology Conference Proceedings

  1. Brebbia, C. A. and Noye, B. J. (Eds) BETECH/85, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1985.

    Google Scholar 

  2. Brebbia, C. A. and Connor, J. J. (Eds) BETECH/86, Computational Mechanics Publications, Southampton, 1986.

    Google Scholar 

  3. Brebbia, C. A. and Venturini, W. S. (Eds) BETECH/87, Computational Mechanics Publications, Southampton, 1987.

    Google Scholar 

  4. Brebbia, C. A. and Zamani, N. G. (Eds) BETECH/89, Computational Mechanics Publications, Southampton, 1989.

    Google Scholar 

  5. Cheng, A. H. D., Brebbia, C. A. and Grilli, S. (Eds) BETECH/90, Computational Mechanics Publications, Southampton, 1990.

    Google Scholar 

Other BEM Meetings

  1. Brebbia, C. A. and Chaudouet-Miranda, A. (Eds) European Boundary Element Symposium, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin and New York, 1990.

    Google Scholar 

  2. Tanaka, M., Brebbia, C. A. and Shaw, R. (Eds) USA/Japan BEM Seminar, Computational Mechanics Publications, Southampton, 1990.

    Google Scholar 

State-of-the-Art Books

  1. Brebbia, C. A. (Ed) Progress in Boundary Element Methods, Vol. I, Pentech Press, London, 1981.

    MATH  Google Scholar 

  2. Brebbia, C. A. (Ed) Progress in Boundary Element Methods, Vol. II, Pentech Press, London, 1983.

    MATH  Google Scholar 

  3. Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. I: Basic Principles and Applications, Springer-Verlag, Berlin and New York, 1984.

    MATH  Google Scholar 

  4. Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. II: Time-Dependent and Vibration Problems, Springer-Verlag, Berlin and New York, 1985.

    Google Scholar 

  5. Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. III: Mathematical Aspects, Springer-Verlag, Berlin and New York, 1987.

    Google Scholar 

  6. Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. IV: Applications in Geomechanics, Springer-Verlag, Berlin and New York, 1987.

    Google Scholar 

  7. Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. V: Viscous Flow Applications, Springer-Verlag, Berlin and New York, 1989.

    Google Scholar 

  8. Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. VI: Electromagnetic Applications, Springer-Verlag, Berlin and New York, 1989.

    Google Scholar 

  9. Brebbia, C. A. (Ed) Topics in Boundary Element Research, Vol. VII: Electrostatics Applications, Springer-Verlag, Berlin and New York, 1990.

    Google Scholar 

  10. Wrobel, L. C. and Brebbia, C. A. (Eds) Advances in Boundary Element Methods for Heat Transfer, Computational Mechanics Publications, Southampton, 1991.

    Google Scholar 

  11. Ciskowski, R. D. and Schenck, H. A. (Eds) Advances in Boundary Element Methods for Acoustics, Computational Mechanics Publications, Southampton, 1991.

    Google Scholar 

  12. Aliabadi, M. (Ed) Advances in Boundary Element Methods for Fracture Mechanics, Computational Mechanics Publications, Southampton, 1991.

    Google Scholar 

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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

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  • DOI: https://doi.org/10.1007/978-94-011-3690-7_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-700-0

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