The Almansi method of fundamental solutions for solving biharmonic problems
Date
1988Source
International Journal for Numerical Methods in EngineeringVolume
26Issue
7Pages
1665-1682Google Scholar check
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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. Copyright © 1988 John Wiley & Sons, Ltd