Browsing by Author "Chen, C. S."
Now showing items 1-11 of 11
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Article
Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method
Liu, X. -Y; Chen, C. S.; Karageorghis, Andreas (2017)We consider the solution of Poisson Dirichlet problems in simply-connected irregular domains. These domains are conformally mapped onto the unit disk and the resulting Poisson Dirichlet problems are solved efficiently using ...
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Article
Improved Kansa RBF method for the solution of nonlinear boundary value problems
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. (2018)We apply the Kansa–radial basis function (RBF) collocation method to two-dimensional nonlinear boundary value problems. In it, the solution is approximated by a linear combination of RBFs and the governing equation and ...
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Article
A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
Liu, X. -Y; Karageorghis, Andreas; Chen, C. S. (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
Karageorghis, Andreas; Chen, C. S.; Liu, X. -Y (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
Kansa-RBF algorithms for elliptic problems in regular polygonal domains
Karageorghis, Andreas; Jankowska, Malgorzata A.; Chen, C. S. (2018)We propose matrix decomposition algorithms for the efficient solution of the linear systems arising from Kansa radial basis function discretizations of elliptic boundary value problems in regular polygonal domains. These ...
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Conference Object
A Kansa-RBF method for Poisson problems in annular domains
Karageorghis, Andreas; Chen, C. S. (WITPress, 2014)We employ a Kansa-radial basis function (RBF) method for Poisson boundary value problems in annular domains. This discretization leads, for any choice of RBF, to linear system matrices possessing block circulant structures. ...
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Article
Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains
Chen, C. S.; Karageorghis, Andreas (2019)A local radial basis function method (LRBF) is applied for the solution of boundary value problems in annular domains governed by the Poisson equation, the inhomogeneous biharmonic equation and the inhomogeneous Cauchy-Navier ...
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Article
Matrix decomposition RBF algorithm for solving 3D elliptic problems
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis (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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Article
A matrix decomposition RBF algorithm: Approximation of functions and their derivatives
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis (2007)We propose an efficient algorithm for the approximation of functions and their derivatives using radial basis functions (RBFs). The interpolation points are placed on concentric circles and the resulting matrix has a block ...
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Article
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions
Li, M.; Chen, C. S.; Karageorghis, Andreas (2013)We investigate applications of the method of fundamental solutions (MFS) for the numerical solution of two-dimensional boundary value problems in complex geometries, governed by the Laplace equation and subject to Dirichlet ...
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Article
On choosing the location of the sources in the MFS
Chen, C. S.; Karageorghis, Andreas; Li, Y. (2016)The satisfactory location for the sources outside the closure of the domain of the problem under consideration remains one of the major issues in the application of the method of fundamental solutions (MFS). In this work ...