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The E.F.M. Applied to Transient Heat Conduction Problems

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Computational Mechanics ’88

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Summary

The solution of 2-D transient heat conduction problems are considered. The Laplace transform in time is applied to the differential equation and the boundary conditions. The ‘transformed problem’ is solved using the Edge Function Method. Solutions in the time domain are obtained using a numerical Laplace transform inversion technique.

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References

  1. Quinlan, P.M.; O’Callaghan, M.J.A.: The Edge Function Method (E.F.M.) for Cracks, Cavities and Curved Boundaries in Elastostatics. Topics in Boundary Elements Vol. 3 C.A. Brebbia (Ed), Springer-Verlag, 1986.

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  2. Durbin, F.: Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate’s method. Comput. J. 17 (1974) 371–376.

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  4. De Hoog, F.R.; Knight, J.H.; Stokes, A.N.: An improved method for Numerical Inversion of Laplace Transforms. SIAM J.Sci.STAT.Comput. 3(1982) 357–366.

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  5. Honig, G.; Hirdes, U.: A method for the numerical inversion of Laplace transforms. J.Comput.Appl.MATH. 10(1984) 113–132.

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  6. Schneider, C.; Werner, W.: Some new Aspects of Rational Interpolation. MATH Comp. 47(1986) 285–299.

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Author information

Authors and Affiliations

  1. Department of Mathematical Physics, University College, Cork, Ireland

    B. G. McEnery & M. H. Quinlan

Authors
  1. B. G. McEnery
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  2. M. H. Quinlan
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Editor information

Editors and Affiliations

  1. Center for the Advancement of Computational Mechanics, Georgia Institute of Technology, 30332, Atlanta, GA, USA

    S. N. Atluri

  2. Department of Nuclear Engineering, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113, Japan

    G. Yagawa

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© 1988 Springer-Verlag Berlin Heidelberg

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McEnery, B.G., Quinlan, M.H. (1988). The E.F.M. Applied to Transient Heat Conduction Problems. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_8

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  • DOI: https://doi.org/10.1007/978-3-642-61381-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64818-2

  • Online ISBN: 978-3-642-61381-4

  • eBook Packages: Springer Book Archive

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