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A Boundary Element Solution of the Wave Equation

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Boundary Element Techniques in Computer-Aided Engineering

Part of the book series: NATO ASI Series ((NSSE,volume 84))

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Summary

The Boundary Element Method is applied to the solution of the 3D wave equation. An advantage of the method in this application is that at no time is it necessary to solve a system of simultaneous equations. A computer code, BEREPOT, has been written to apply the method for any geometry. An example comparing results obtained using BEREPOT with an exact solution is given.

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References

  1. SHAW, P.S., Diffraction of Acoustic Pulses by Obstacles of Arbitrary Shape with a Robin Boundary Condition. Jnl. Acoust.Soc. of Am. Vol. 41, No. 4 (1967) pp. 855–859.

    Article  Google Scholar 

  2. MITZNER, K.M., Numerical Solution for Transient Scattering from a Hard Surface of Arbitrary shape — Retarded Potential Technique. Jnl. Acoust. Soc. Of Am. Vol. 42, No. 2 (1967) pp. 391–397.

    Article  MATH  Google Scholar 

  3. SHAW, R.P. and ENGLISH, J.A., Transient Acoustic Scattering by a Free (Pressure Release) Sphere. Jnl. Sound and Vibration Vol. 30, No. 3 (1972) pp. 321–331.

    Article  Google Scholar 

  4. SHAW, R.P., An Outer Boundary Integral Equation Applied to Transient Wave Scattering in an Inhomogeneous Medium. Jnl. Of Appl. Mech. Vol.42, No.1 March (1975) pp. 147–152

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  5. GEERS, T.L., Boundary-Element Methods for Transient Response Analysis in Computational Methods for Transient Response Analysis, North Holland, T. Belytshko and T.J.R. Hughes.

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  6. Groenenboom, P.H.L., The Application of Boundary Elements to Steady and Unsteady Potential Fluid Flow Problems in Two and Three Dimensions in Boundary Element Methods, Procs. Of the Third Int. Seminar, Irvine, CA, July 1981 (ed. C.A. Brebbia) CML Publications and Springer Verlag, Berlin, 1981.

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Author information

Authors and Affiliations

  1. Computational Mechanics Centre, Southampton, UK

    D. J. Danson

Authors
  1. D. J. Danson
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Editor information

Editors and Affiliations

  1. Institute for Computational Mechanics, Ashurst, Southampton, SO4 2AA, UK

    C. A. Brebbia

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© 1984 Martinus Nijhoff Publishers, Dordrecht

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Danson, D.J. (1984). A Boundary Element Solution of the Wave Equation. In: Brebbia, C.A. (eds) Boundary Element Techniques in Computer-Aided Engineering. NATO ASI Series, vol 84. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6192-0_12

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  • DOI: https://doi.org/10.1007/978-94-009-6192-0_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6194-4

  • Online ISBN: 978-94-009-6192-0

  • eBook Packages: Springer Book Archive

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