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Fundamental Solutions and Functionally Graded Materials

  • Paul A. Martin

Abstract

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.

Keywords

Partial Differential Equation Fundamental Solution Boundary Integral Equation Polar Axis Singular Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Paul A. Martin

There are no affiliations available

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