The Almansi method of fundamental solutions for solving biharmonic problems

@inproceedings{Karageorghis1988TheAM,
  title={The Almansi method of fundamental solutions for solving biharmonic problems},
  author={Andreas Karageorghis and Graeme Fairweather},
  year={1988}
}
A new fundamental solutions method for the numerical solution of two-dimensional biharmonic problems is described. In this method, which is based on the Almansi representation of a biharmonic function in the plane, the approximate solution is expressed in terms of fundamental solutions of Laplace's equation, and is determined by a least squares fit of the boundary conditions. The results of numerical experiments which demonstrate the efficacy of the method are presented. 

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