On the spectrum of a nonlinear planar problem
Francesca Gladiali, Massimo Grossi (2009)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Existence and blow up of solutions to certain classes of two-dimensional nonlinear Neumann problems”
On the spectrum of a nonlinear planar problem
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The Method of Fundamental Solutions (MFS) is a boundary-type meshless method for the solution of certain elliptic boundary value problems. In this work, we investigate the properties of the matrices that arise when the MFS is applied to the Dirichlet problem for Laplace’s equation in a disk. In particular, we study the behaviour of the eigenvalues of these matrices and the cases in which they vanish. Based on this, we propose a modified efficient numerical algorithm for the solution...