A Boundary Integral Equation Formulation for Linearly Layered Potential Problems in Two and Three Dimensions
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.
KeywordsBoundary 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
- :Shaw, R. P., “Green’s Functions for Heterogeneous Media Potential Problems”, Eng. Anal., V13, pp. 219–221, 1994,Google Scholar
- :Garabedian, P. R., Partial Differential Equations, p. 153, John Wiley & Sons, N.Y., 1963.Google Scholar