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A Boundary Integral Equation Formulation for Linearly Layered Potential Problems in Two and Three Dimensions

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Computational Mechanics ’95

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Abstract

A boundary integral equation formulation is developed for a Poisson equation with a linearly layered conductivity, using 2D and 3D Green’s functions obtained for this heterogeneous medium problem found a corresponding 3D and 4D axisymmetric Green’s function for a homogeneous material.

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References

  1. Brebbia, C. A. and Dominguez, J., Boundary Elements, McGraw-Hill Book Co., 2nd edition, N.Y., 1992,

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  2. Gipson, G. S., Boundary Element Fundamentals — Basic Concepts and Recent Developments in the Poisson Equation, Comp. Mech. Publ., Boston, U.S., 1987,

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  3. Shaw, R. P., “Green’s Functions for Heterogeneous Media Potential Problems”, Eng. Anal., V13, pp. 219–221, 1994,

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  4. Garabedian, P. R., Partial Differential Equations, p. 153, John Wiley & Sons, N.Y., 1963.

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Author information

Authors and Affiliations

  1. State University of New York at Buffalo, USA

    Richard Paul Shaw

  2. Oklahoma State University, USA

    G. Steven Gipson

Authors
  1. Richard Paul Shaw
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  2. G. Steven Gipson
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Editor information

Editors and Affiliations

  1. Computational Modeling Center, Georgia Institute of Technology, Atlanta, GA, 30332-0356, USA

    S. N. Atluri

  2. Department of Quantum Engineering & Systems Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    G. Yagawa

  3. Department of Mechanical Engineering, Vanderbilt University, P.O. Box 1592, Station B, Nashville, TN, 37235, USA

    Thomas Cruse

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© 1995 Springer-Verlag Berlin Heidelberg

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Shaw, R.P., Gipson, G.S. (1995). A Boundary Integral Equation Formulation for Linearly Layered Potential Problems in Two and Three Dimensions. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_496

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_496

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

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