Fundamental Solutions and Functionally Graded Materials
A fundamental solution (or Green’s function) is a singular solution of a governing partial differential equation (PDE). Such solutions can be constructed easily when the PDE has constant coefficients. They are useful for reducing boundary-value problems to boundary integral equations (BIEs). We begin by describing simple properties of fundamental solutions, and then comment on the use and construction of half-space Green’s functions.
KeywordsPartial Differential Equation Fundamental Solution Boundary Integral Equation Polar Axis Singular Solution
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- 7.J.R. Berger, P.A. Martin, V. Mantic, and L.J. Gray, Fundamental solutions for steady-state heat transfer in an exponentially graded anisotropic material, J. Appl. Math. Phys. (ZAMP) (in press).Google Scholar