Andreas Karageorghis

63 papers Misc 2Journal 58Unranked 3

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Local method of fundamental solutions formulations for polyharmonic BVPs. J. Comput. Sci. Andreas Karageorghis, C. S. Chen, Malgorzata A. Jankowska
2025	J	`jnl`	Hybrid local meshless method for solving elliptic boundary value problems. Comput. Appl. Math. C. S. Chen, Andreas Karageorghis
2025	J	`jnl`	Hybrid meshless method for solving inhomogeneous polyharmonic equations. Comput. Math. Appl. C. S. Chen, Andreas Karageorghis, Q. G. Liu
2025	J	`jnl`	Multi-level method of fundamental solutions for solving polyharmonic problems. J. Comput. Appl. Math. Andreas Karageorghis, C. S. Chen
2025	J	`jnl`	Novel method of fundamental solutions formulation for polyharmonic BVPs. Math. Comput. Simul. C. S. Chen, Andreas Karageorghis
2025	J	`jnl`	Solution of the Cauchy problem for the Brinkman equations using an alternating method of fundamental solutions. Numer. Algorithms Andreas Karageorghis, Daniel Lesnic
2025	J	`jnl`	The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity. Int. J. Comput. Math. Andreas Karageorghis, Daniel Lesnic
2024	J	`jnl`	Training RBF neural networks for solving nonlinear and inverse boundary value problems. Comput. Math. Appl. Malgorzata A. Jankowska, Andreas Karageorghis, C. S. Chen
2023	J	`jnl`	Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions. Math. Comput. Simul. Malgorzata A. Jankowska, Andreas Karageorghis, C. S. Chen
2022	J	`jnl`	A time-efficient variable shape parameter Kansa-radial basis function method for the solution of nonlinear boundary value problems. Appl. Math. Comput. Andreas Karageorghis
2022	J	`jnl`	An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem. Numer. Algorithms Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
2022	J	`jnl`	Fictitious centre RBF method for high order BVPs in multiply connected domains. Appl. Math. Lett. Andreas Karageorghis, Amir Noorizadegan, Chuin-Shan Chen
2022	J	`jnl`	RBF-DQ algorithms for elliptic problems in axisymmetric domains. Numer. Algorithms C. S. Chen, Malgorzata A. Jankowska, Andreas Karageorghis
2022	J	`jnl`	Training RBF neural networks for the solution of elliptic boundary value problems. Comput. Math. Appl. Andreas Karageorghis, C. S. Chen
2021	J	`jnl`	Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. J. Comput. Appl. Math. C. S. Chen, Andreas Karageorghis, Lionel Amuzu
2021	J	`jnl`	The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Math. Comput. Simul. Andreas Karageorghis, Demetriana Tappoura, C. S. Chen
2020	J	`jnl`	A fictitious points one-step MPS-MFS technique. Appl. Math. Comput. Xiaomin Zhu, Fangfang Dou, Andreas Karageorghis, C. S. Chen
2020	J	`jnl`	A novel RBF collocation method using fictitious centres. Appl. Math. Lett. C. S. Chen, Andreas Karageorghis, Fang-Fang Dou
2020	J	`jnl`	A quadratic spline collocation method for the Dirichlet biharmonic problem. Numer. Algorithms Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis, Jonathan Maack
2020	J	`jnl`	The radial basis function-differential quadrature method for elliptic problems in annular domains. J. Comput. Appl. Math. Daniel W. Watson, Andreas Karageorghis, C. S. Chen
2018	J	`jnl`	A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. Numer. Algorithms Bernard Bialecki, Andreas Karageorghis
2018	J	`jnl`	Kansa-RBF algorithms for elliptic problems in regular polygonal domains. Numer. Algorithms Andreas Karageorghis, Malgorzata A. Jankowska, C. S. Chen
2017	J	`jnl`	Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method. J. Sci. Comput. Xiao-Yan Liu, C. S. Chen, Andreas Karageorghis
2016	J	`jnl`	Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains. SIAM J. Sci. Comput. Andreas Karageorghis, C. S. Chen, Xiao-Yan Liu
2016	J	`jnl`	On choosing the location of the sources in the MFS. Numer. Algorithms C. S. Chen, Andreas Karageorghis, Yan Li
2015	J	`jnl`	A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains. J. Sci. Comput. Xiao-Yan Liu, Andreas Karageorghis, C. S. Chen
2015	J	`jnl`	Finite Difference Schemes for the Cauchy-Navier Equations of Elasticity with Variable Coefficients. J. Sci. Comput. Bernard Bialecki, Andreas Karageorghis
2015	J	`jnl`	The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Numer. Algorithms Andreas Karageorghis
2013	J	`jnl`	Efficient MFS Algorithms for Problems in Thermoelasticity. J. Sci. Comput. Andreas Karageorghis, Liviu Marin
2013	J	`jnl`	Efficient Trefftz collocation algorithms for elliptic problems in circular domains. Numer. Algorithms Andreas Karageorghis
2013	J	`jnl`	Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations. Numer. Algorithms Bernard Bialecki, Andreas Karageorghis
2013	J	`jnl`	The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Comput. Math. Appl. Ming Li, C. S. Chen, Andreas Karageorghis
2011	J	`jnl`	Compact optimal quadratic spline collocation methods for the Helmholtz equation. J. Comput. Phys. Graeme Fairweather, Andreas Karageorghis, Jon Maack
2011	J	`jnl`	Efficient MFS Algorithms for Inhomogeneous Polyharmonic Problems. J. Sci. Comput. Andreas Karageorghis
2011	J	`jnl`	Matrix decomposition algorithms for elliptic boundary value problems: a survey. Numer. Algorithms Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
2010	J	`jnl`	Efficient Kansa-type MFS algorithm for elliptic problems. Numer. Algorithms Andreas Karageorghis
2010	J	`jnl`	Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations. SIAM J. Sci. Comput. Bernard Bialecki, Andreas Karageorghis
2009	J	`jnl`	Efficient MFS algorithms in regular polygonal domains. Numer. Algorithms Andreas Karageorghis
2008	J	`jnl`	Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Computing Andreas Karageorghis, Yiorgos Sokratis Smyrlis
2008	J	`jnl`	Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. J. Comput. Phys. Bernard Bialecki, Andreas Karageorghis
2007	J	`jnl`	A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems. J. Sci. Comput. Bernard Bialecki, Andreas Karageorghis
2007	J	`jnl`	A Spectral Mortar Element Discretization of the Poisson Equation with Mixed Boundary Conditions. J. Sci. Comput. Zakaria Belhachmi, Andreas Karageorghis
2006	J	`jnl`	A Matrix Decomposition MFS Algorithm for Problems in Hollow Axisymmetric Domains. J. Sci. Comput. Th. Tsangaris, Yiorgos Sokratis Smyrlis, Andreas Karageorghis
2006	J	`jnl`	A matrix decomposition MFS algorithm for certain linear elasticity problems. Numer. Algorithms Andreas Karageorghis, Yiorgos Sokratis Smyrlis, Th. Tsangaris
2006	J	`jnl`	Identification and Reconstruction of a Small Leak Zone in a Pipe by a Spectral Element Method. J. Sci. Comput. Zakaria Belhachmi, Andreas Karageorghis, K. Taous
2006	J	`jnl`	The Method of Fundamental Solutions for Stationary Heat Conduction Problems in Rotationally Symmetric Domains. SIAM J. Sci. Comput. Yiorgos Sokratis Smyrlis, Andreas Karageorghis
2005	J	`jnl`	A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Adv. Comput. Math. Graeme Fairweather, Andreas Karageorghis, Yiorgos Sokratis Smyrlis
2005	J	`jnl`	Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods. SIAM J. Sci. Comput. Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
2005	—	`conf`	The method of fundamental solutions in geometric design with potential fields. SIGGRAPH Posters Roman Tankelevich, Andreas Karageorghis
2004	J	`jnl`	A Linear Least-Squares MFS for Certain Elliptic Problems. Numer. Algorithms Yiorgos Sokratis Smyrlis, Andreas Karageorghis
2004	J	`jnl`	Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle. Numer. Algorithms Bernard Bialecki, Andreas Karageorghis
2003	J	`jnl`	Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems. SIAM J. Sci. Comput. Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
2001	J	`jnl`	A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem. SIAM J. Sci. Comput. Bernard Bialecki, Andreas Karageorghis
2001	Misc	`conf`	Rotation of the Sources and Normalization of the Fundamental Solutions in the MFS. PPAM Yiorgos Sokratis Smyrlis, Andreas Karageorghis
2001	J	`jnl`	Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems. J. Sci. Comput. Yiorgos Sokratis Smyrlis, Andreas Karageorghis
2001	J	`jnl`	Spectral Element Discretization of the Circular Driven Cavity, Part II: The Bilaplacian Equation. SIAM J. Numer. Anal. Zakaria Belhachmi, Christine Bernardi, Andreas Karageorghis
2001	Misc	`conf`	The Method of Fundamental Solutions in Three-Dimensional Elastostatics. PPAM Andreas Poullikkas, Andreas Karageorghis, Georgios Georgiou
2001	J	`jnl`	The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Appl. Math. Lett. Andreas Karageorghis
1999	J	`jnl`	Conditioning of Pseudospectral Matrices for Certain Domain Decompositions. J. Sci. Comput. Andreas Karageorghis, Marcin Paprzycki
1998	J	`jnl`	The method of fundamental solutions for elliptic boundary value problems. Adv. Comput. Math. Graeme Fairweather, Andreas Karageorghis
1996	J	`jnl`	An efficient direct method for fully conforming spectral collocation schemes. Numer. Algorithms Andreas Karageorghis, Marcin Paprzycki
1996	—	`conf`	Conforming Spectral Domain Decomposition Schemes. WNAA Andreas Karageorghis
1996	—	`conf`	High Performance Solution of Linear Systems Arising from Conforming Spectral Approximations for Non-Conforming Domain Decompositions. WNAA Marcin Paprzycki, Andreas Karageorghis