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The Almansi method of fundamental solutions for solving biharmonic problems (1988)

Karageorghis, Andreas ; Fairweather, Graeme

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 26 (1988), S. 1665-1682

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: 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.

Additional Material: 2 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620260714

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