Browsing by Subject "Elliptic boundary value problem"
Now showing items 1-6 of 6
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Article
A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
(2015)We employ a Kansa-radial basis function (RBF) method for the numerical solution of elliptic boundary value problems in annular domains. This discretization leads, with an appropriate selection of collocation points and for ...
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Article
Kansa-RBF algorithms for elliptic problems in axisymmetric domains
(2016)We employ a Kansa-radial basis function method for the numerical solution of elliptic boundary value problems in three-dimensional axisymmetric domains. We consider problems governed by the Poisson equation, the inhomogeneous ...
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Article
Matrix decomposition RBF algorithm for solving 3D elliptic problems
(2009)In this study, we propose an efficient algorithm for the evaluation of the particular solutions of three-dimensional inhomogeneous elliptic partial differential equations using radial basis functions. The collocation points ...
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Conference Object
Performance of GMRES for the MFS
(2009)In this work we present some preliminary numerical results regarding the performance of the Generalized Minimal Residual (GMRES) method when it is applied to the solution of the linear systems arising from the discretization ...
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Article
Rotation of the sources and normalization of the fundamental solutions in the MFS
(2002)The Method of Fundamental Solutions (MFS) is a boundary type method suitable for the solution of certain elliptic boundary value problems. The basic ideas of the MFS were introduced by Kupradze and Alexidze and its modern ...
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Article
The under-determined version of the MFS: Taking more sources than collocation points
(2010)In this study we investigate the approximation of the solutions of certain elliptic boundary value problems by the Method of Fundamental Solutions (MFS). In particular, we study the case in which the number of singularities ...