Perturbation technique and method of fundamental solution to solve nonlinear Poisson problems

• Autores: A. Tri, H. Zahrouni, M. Potier-Ferry
• Localización: Engineering analysis with boundary elements, ISSN 0955-7997, Vol. 35, Nº. 3, 2011, págs. 273-278
• Idioma: inglés
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• Resumen

  • We show in this work that the Asymptotic Numerical Method (ANM) combined with the Method of Fundamental Solution (MFS) can be a robust algorithm to solve the nonlinear Poisson problem. The ANM transforms the nonlinear problem into a sequence of linear ones which can be solved by MFS. This last method consists of approximating the solution of the linear Poisson problem by a linear combination of fundamental solutions. Some examples are presented to show the efficiency of the proposed method.