Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Liu, X. -Y"
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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
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 ...