Fundamental Solutions and Functionally Graded Materials

  • Paul A. Martin


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.


Partial Differential Equation Fundamental Solution Boundary Integral Equation Polar Axis Singular Solution 
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© Springer Science+Business Media New York 2004

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  • Paul A. Martin

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