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

  • Richard Paul Shaw
  • G. Steven Gipson
Conference paper


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.


Boundary Element Method Poisson Equation Boundary Integral Equation Axisymmetric Solution Variable Property Material 
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    Brebbia, C. A. and Dominguez, J., Boundary Elements, McGraw-Hill Book Co., 2nd edition, N.Y., 1992,Google Scholar
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    Gipson, G. S., Boundary Element Fundamentals — Basic Concepts and Recent Developments in the Poisson Equation, Comp. Mech. Publ., Boston, U.S., 1987,zbMATHGoogle Scholar
  3. [3]:
    Shaw, R. P., “Green’s Functions for Heterogeneous Media Potential Problems”, Eng. Anal., V13, pp. 219–221, 1994,Google Scholar
  4. [4]:
    Garabedian, P. R., Partial Differential Equations, p. 153, John Wiley & Sons, N.Y., 1963.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Richard Paul Shaw
    • 1
  • G. Steven Gipson
    • 2
  1. 1.State University of New York at BuffaloUSA
  2. 2.Oklahoma State UniversityUSA

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