Edit Profile (opens in new tab) Karageorghis, Andreas Co-Author Distance Author ID: karageorghis.andreas Published as: Karageorghis, Andreas; Karageorghis, A.; Karageorghis, Andréas more...less Homepage: http://www.mas.ucy.ac.cy/english/teachers/karagheorgis_eng.htm External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 170 Publications since 1985 1 Contribution as Editor Co-Authors: 48 Co-Authors with 145 Joint Publications 1,382 Co-Co-Authors all top 5 Co-Authors 23 single-authored 24 Lesnic, Daniel 22 Smyrlis, Yiorgos-Sokratis 21 Chen, Ching-Shyang 19 Fairweather, Graeme 18 Marin, Liviu 16 Bialecki, Bernard 11 Phillips, Timothy N. 8 Georgiou, Georgios C. 8 Poullikkas, Andreas 7 Belhachmi, Zakaria 7 Bernardi, Christine 6 Jankowska, Malgorzata A. 5 Berger, J. R. 4 Paprzycki, Marcin 4 Tsangaris, Th. 3 Liu, Xiaoyan 2 Aitchison, Joyce M. 2 Dou, Fangfang 2 Johansson, B. Tomas 2 Martin, Paul Andrew 2 Nguyen, Que N. 2 Tankelevich, Roman 1 Alves, Carlos J. S. 1 Amuzu, Lionel 1 Ascough, John 1 Bin-Mohsin, Bandar 1 Brebbia, Carlos Alberto 1 Cyphers, Cliff 1 Grabski, Jakub Krzysztof 1 Katsiamis, Andreas 1 Kyza, Irene 1 Leitão, Vitor Manuel Azevedo 1 Li, Ming 1 Li, Yan 1 Maack, Jon 1 Maack, Jonathan 1 Noorizadegan, Amir 1 Raad, Peter E. 1 Stylianopoulos, Nikos S. 1 Tang, Tao 1 Taous, Khalid 1 Tappoura, Demetriana 1 Tryfonos, Pinelopi 1 Valtchev, Svilen S. 1 Watson, Daniel W. 1 Zachariades, H. A. 1 Zheng, Hui 1 Zhu, Xiaomin all top 5 Serials 20 Engineering Analysis with Boundary Elements 16 Numerical Algorithms 15 Journal of Scientific Computing 9 Journal of Computational and Applied Mathematics 7 Journal of Computational Physics 7 International Journal for Numerical Methods in Engineering 7 Inverse Problems in Science and Engineering 6 Computer Methods in Applied Mechanics and Engineering 6 Numerical Methods for Partial Differential Equations 6 SIAM Journal on Scientific Computing 5 Computers & Mathematics with Applications 5 Applied Numerical Mathematics 4 Applied Mathematics and Computation 4 Computational Mechanics 4 Communications in Computational Physics 4 Advances in Applied Mathematics and Mechanics 3 IMA Journal of Numerical Analysis 3 Mathematics and Computers in Simulation 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics Letters 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Advances in Computational Mathematics 2 Journal of Mathematical Fluid Mechanics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 CMC. Computers, Materials, and Continua 1 Computers and Fluids 1 BIT 1 Computing 1 Numerische Mathematik 1 SIAM Journal on Scientific and Statistical Computing 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Seminar of I. Vekua Institute of Applied Mathematics. Reports 1 CMES. Computer Modeling in Engineering & Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SEMA SIMAI Springer Series all top 5 Fields 150 Numerical analysis (65-XX) 84 Partial differential equations (35-XX) 32 Fluid mechanics (76-XX) 24 Mechanics of deformable solids (74-XX) 14 Potential theory (31-XX) 8 Classical thermodynamics, heat transfer (80-XX) 4 Ordinary differential equations (34-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 156 Publications have been cited 2,592 times in 1,201 Documents Cited by ▼ Year ▼ The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074 Fairweather, Graeme; Karageorghis, Andreas 496 1998 A survey of applications of the MFS to inverse problems. Zbl 1220.65157 Karageorghis, A.; Lesnic, D.; Marin, L. 128 2011 The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649 Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A. 128 2003 The method of fundamental solutions for the numerical solution of the biharmonic equation. Zbl 0618.65108 Karageorghis, Andreas; Fairweather, Graeme 107 1987 On choosing the location of the sources in the MFS. Zbl 1338.65269 Chen, C. S.; Karageorghis, Andreas; Li, Yan 98 2016 Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0635.73091 Davis, A. R.; Karageorghis, A.; Phillips, T. N. 63 1988 Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0637.76008 Karageorghis, A.; Phillips, T. N.; Davies, A. R. 51 1988 Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Zbl 0913.65104 Poullikkas, A.; Karageorghis, A.; Georgiou, G. 50 1998 The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111 Karageorghis, A. 48 2001 Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 45 2001 The method of fundamental solutions for heat conduction in layered materials. Zbl 0972.80014 Berger, J. R.; Karageorghis, Andreas 44 1999 The method of fundamental solutions for layered elastic materials. Zbl 1008.74081 Berger, J. R.; Karageorghis, A. 37 2001 Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities. Zbl 0760.65103 Karageorghis, Andreas 35 1992 The method of fundamental solutions for axisymmetric potential problems. Zbl 0932.74078 Karageorghis, Andreas; Fairweather, Graeme 34 1999 The method of fundamental solutions for axisymmetric elasticity problems. Zbl 1011.74005 Karageorghis, A.; Fairweather, G. 32 2000 The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136 Li, Ming; Chen, C. S.; Karageorghis, A. 32 2013 Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036 Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 31 2011 A Legendre spectral Galerkin method for the biharmonic Dirichlet problem. Zbl 0986.65115 Bialecki, Bernard; Karageorghis, Andreas 29 2000 A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function. Zbl 0642.65011 Karageorghis, Andreas 27 1988 Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159 Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. 26 2018 A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305 Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis 24 2007 The simple layer potential method of fundamental solutions for certain biharmonic problems. Zbl 0687.76028 Karageorghis, Andreas; Fairweather, Graeme 23 1989 The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. Zbl 1255.65203 Karageorghis, A.; Johansson, B. T.; Lesnic, D. 23 2012 The Almansi method of fundamental solutions for solving biharmonic problems. Zbl 0639.65066 Karageorghis, Andreas; Fairweather, Graeme 22 1988 The method of fundamental solutions for the solution of nonlinear plane potential problems. Zbl 0676.65110 Karageorghis, A.; Fairweather, G. 22 1989 Detection of cavities using the method of fundamental solutions. Zbl 1175.65130 Karageorghis, A.; Lesnic, D. 22 2009 On the coefficients of integrated expansions of ultraspherical polynomials. Zbl 0701.33007 Phillips, Timothy N.; Karageorghis, Andreas 22 1990 A novel RBF collocation method using fictitious centres. Zbl 1464.65198 Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang 22 2020 Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. Zbl 1206.35067 Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 20 2007 Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 20 2004 Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184 Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S. 19 2009 The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139 Karageorghis, A.; Lesnic, D. 19 2010 Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046 Karageorghis, A.; Lesnic, D. 19 2011 The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions. Zbl 0985.78004 Poullikkas, A.; Karageorghis, A.; Georgiou, G. 18 2001 Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054 Karageorghis, A.; Lesnic, D. 18 2008 The method of fundamental solutions for inhomogeneous elliptic problems. Zbl 0913.65103 Poullikkas, A.; Karageorghis, A.; Georgiou, G. 17 1998 A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161 Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 17 2013 The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194 Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 17 2011 Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135 Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon 16 2011 The method of fundamental solutions for Signorini problems. Zbl 0901.73017 Poullikkas, A.; Karageorghis, A.; Georgiou, G. 15 1998 Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035 Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 15 2006 Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174 Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan 15 2016 Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336 Karageorghis, A.; Poullikkas, A.; Berger, J. R. 14 2006 A matrix decomposition MFS algorithm for axisymmetric potential problems. Zbl 1074.65134 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 14 2004 A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254 Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S. 14 2015 Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 13 2009 The method of fundamental solutions for the solution of steady-state free boundary problems. Zbl 0745.65075 Karageorghis, Andreas 13 1992 Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118 Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 12 2006 Numerical solution of a shallow dam problem by a boundary element method. Zbl 0597.76096 Karageorghis, A. 12 1987 Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. Zbl 1194.74086 Berger, J. R.; Karageorghis, Andreas; Martin, P. A. 12 2007 A note on the Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function. Zbl 0639.65012 Karageorghis, Andreas 11 1988 Chebyshev spectral collocation methods for laminar flow through a channel contraction. Zbl 0677.76025 Karageorghis, Andreas; Phillips, Timothy N. 11 1989 Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135 Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 11 2003 Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 11 2003 The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 1524.65892 Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S. 11 2021 Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains. Zbl 0659.76037 Karageorghis, A.; Phillips, T. N. 10 1989 Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Zbl 1075.65139 Bialecki, Bernard; Karageorghis, Andreas 10 2004 Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506 Karageorghis, Andreas; Kyza, Irene 10 2007 Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075 Karageorghis, A. 10 2011 Efficient direct methods for solving the spectral collocation equations for Stokes flow in rectangularly decomposable domains. Zbl 0665.76039 Phillips, Timothy N.; Karageorghis, Andreas 9 1989 Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110 Belhachmi, Z.; Bernardi, C.; Karageorghis, A. 9 2001 Conforming Chebyshev spectral collocation methods for the solution of laminar flow in a constricted channel. Zbl 0709.76039 Karageorghis, Andreas; Phillips, Timothy N. 9 1991 A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains. Zbl 0751.65063 Karageorghis, Andreas 9 1991 On the coefficients of differentiated expansions of ultraspherical polynomials. Zbl 0748.65063 Karageorghis, Andreas; Phillips, Timothy N. 9 1992 Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224 Tankelevich, R.; Fairweather, G.; Karageorghis, A. 9 2009 The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009 Marin, Liviu; Karageorghis, Andreas 9 2013 The under-determined version of the MFS: taking more sources than collocation points. Zbl 1196.65187 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 8 2010 Efficient Kansa-type MFS algorithm for elliptic problems. Zbl 1190.65184 Karageorghis, Andreas 8 2010 A Legendre spectral collocation method for the biharmonic Dirichlet problem. Zbl 0984.65121 Bialecki, Bernard; Karageorghis, Andreas 8 2000 A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 8 2003 A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135 Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 8 2005 The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210 Karageorghis, Andreas 8 2015 Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093 Bialecki, Bernard; Karageorghis, Andreas 8 2008 The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152 Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 8 2017 The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188 Karageorghis, A.; Lesnic, Daniel 8 2010 The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. Zbl 1430.76390 Karageorghis, Andreas; Lesnic, Daniel 8 2019 Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1464.65206 Jankowska, Malgorzata A.; Karageorghis, Andreas 8 2019 Kansa RBF method for nonlinear problems. Zbl 1416.65479 Jankowska, M. A.; Karageorghis, A.; Chen, C. S. 8 2018 Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044 Marin, Liviu; Karageorghis, Andreas 7 2009 The method of fundamental solutions for Stokes flows with a free surface. Zbl 0922.76262 Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios; Ascough, John 7 1998 Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118 Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 7 2005 The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method. Zbl 0825.76607 Karageorghis, Andreas 7 1992 A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication. Zbl 0769.76052 Raad, Peter E.; Karageorghis, Andreas 7 1993 Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016 Karageorghis, A.; Marin, L. 7 2013 The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering. Zbl 1403.76084 Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 7 2018 Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer. Zbl 0636.65083 Karageorghis, Andreas 6 1988 Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089 Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N. 6 2008 A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries. Zbl 0892.76064 Karageorghis, Andreas; Tang, Tao 6 1996 A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity. Zbl 1308.74038 Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 6 2015 The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007 Karageorghis, A.; Lesnic, D. 6 2008 The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188 Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S. 6 2020 A nonoverlapping domain decomposition method for Legendre spectral collocation problems. Zbl 1134.65086 Bialecki, Bernard; Karageorghis, Andreas 5 2007 Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094 Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas 5 2007 A fully conforming spectral collocation scheme for second- and fourth-order problems. Zbl 0945.65522 Karageorghis, Andreas 5 1995 On solving the Dirichlet generalized problem for harmonic function by the method of fundamental solutions. Zbl 1222.65132 Zakradze, M.; Koblishvili, N.; Karageorghis, A.; Smyrlis, Y. 5 2008 The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains. Zbl 1141.80017 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 5 2006 A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117 Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 5 2006 A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060 Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T. 5 2006 Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Zbl 1154.65092 Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 5 2008 Optimal superconvergent one step quadratic spline collocation methods for Helmholtz problems. Zbl 1157.65470 Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Nguyen, Que N. 5 2008 A time-efficient variable shape parameter Kansa-radial basis function method for the solution of nonlinear boundary value problems. Zbl 1510.65303 Karageorghis, Andreas 2 2022 Fictitious centre RBF method for high order BVPs in multiply connected domains. Zbl 1524.65891 Karageorghis, Andreas; Noorizadegan, Amir; Chen, C. S. 2 2022 RBF-DQ algorithms for elliptic problems in axisymmetric domains. Zbl 1481.65236 Chen, C. S.; Jankowska, Malgorzata A.; Karageorghis, Andreas 1 2022 The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 1524.65892 Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S. 11 2021 Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. Zbl 1478.65135 Chen, C. S.; Karageorghis, Andreas; Amuzu, Lionel 3 2021 The method of fundamental solutions for Brinkman flows. I: Exterior domains. Zbl 1476.65329 Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 1 2021 Singular matrices arising in the MFS from certain boundary and pseudo-boundary symmetries. Zbl 1464.65271 Karageorghis, Andreas 1 2021 A novel RBF collocation method using fictitious centres. Zbl 1464.65198 Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang 22 2020 The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188 Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S. 6 2020 Improved RBF collocation methods for fourth order boundary value problems. Zbl 1473.65327 Chen, C. S.; Karageorghis, Andreas; Zheng, Hui 5 2020 A quadratic spline collocation method for the Dirichlet biharmonic problem. Zbl 1434.65290 Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Maack, Jonathan 3 2020 Advances in Trefftz methods and their applications. Selected papers based on the presentations at the 9th conference on Trefftz methods and 5th conference on method of fundamental solutions, Lisbon, Portugal, July 29–31, 2019. Zbl 1445.65001 3 2020 Kansa radial basis function method with fictitious centres for solving nonlinear boundary value problems. Zbl 1464.65207 Katsiamis, Andreas; Karageorghis, Andreas 3 2020 Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. Zbl 1475.65175 Karageorghis, Andreas; Lesnic, Daniel 2 2020 A fictitious points one-step MPS-MFS technique. Zbl 1508.65174 Zhu, Xiaomin; Dou, Fangfang; Karageorghis, Andreas; Chen, C. S. 1 2020 The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. Zbl 1430.76390 Karageorghis, Andreas; Lesnic, Daniel 8 2019 Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1464.65206 Jankowska, Malgorzata A.; Karageorghis, Andreas 8 2019 Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems. Zbl 1464.65269 Grabski, Jakub Krzysztof; Karageorghis, Andreas 5 2019 Local RBF algorithms for elliptic boundary value problems in annular domains. Zbl 1473.65326 Chen, C. S.; Karageorghis, Andreas 4 2019 Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159 Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. 26 2018 Kansa RBF method for nonlinear problems. Zbl 1416.65479 Jankowska, M. A.; Karageorghis, A.; Chen, C. S. 8 2018 The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering. Zbl 1403.76084 Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 7 2018 Kansa-RBF algorithms for elliptic problems in regular polygonal domains. Zbl 1405.65157 Karageorghis, Andreas; Jankowska, Malgorzata A.; Chen, C. S. 3 2018 A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. Zbl 1457.65230 Bialecki, Bernard; Karageorghis, Andreas 2 2018 The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152 Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 8 2017 Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method. Zbl 1370.65070 Liu, Xiao-Yan; Chen, C. S.; Karageorghis, Andreas 3 2017 The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data. Zbl 1369.65135 Marin, L.; Karageorghis, A.; Lesnic, D.; Johansson, B. T. 3 2017 On choosing the location of the sources in the MFS. Zbl 1338.65269 Chen, C. S.; Karageorghis, Andreas; Li, Yan 98 2016 Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174 Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan 15 2016 The plane waves method for axisymmetric Helmholtz problems. Zbl 1403.65161 Karageorghis, Andreas 3 2016 A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254 Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S. 14 2015 The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210 Karageorghis, Andreas 8 2015 A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity. Zbl 1308.74038 Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 6 2015 Finite difference schemes for the Cauchy-Navier equations of elasticity with variable coefficients. Zbl 1440.74462 Bialecki, Bernard; Karageorghis, Andreas 2 2015 Simultaneous numerical determination of a corroded boundary and its admittance. Zbl 1326.65150 Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L. 2 2015 Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems. Zbl 1308.65205 Karageorghis, A.; Lesnic, D.; Marin, L. 5 2014 A Kansa-RBF method for Poisson problems in annular domains. Zbl 1325.65160 Karageorghis, A.; Chen, C. S. 1 2014 The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136 Li, Ming; Chen, C. S.; Karageorghis, A. 32 2013 A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161 Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 17 2013 The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009 Marin, Liviu; Karageorghis, Andreas 9 2013 Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016 Karageorghis, A.; Marin, L. 7 2013 Galerkin formulations of the method of fundamental solutions. Zbl 1279.65131 Berger, J. R.; Karageorghis, Andreas 1 2013 The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. Zbl 1255.65203 Karageorghis, A.; Johansson, B. T.; Lesnic, D. 23 2012 A meshless numerical identification of a sound-hard obstacle. Zbl 1351.74090 Karageorghis, A.; Lesnic, D. 3 2012 MFS-based solution to two-dimensional linear thermoelasticity problems. Zbl 1308.74037 Marin, Liviu; Karageorghis, A. 2 2012 A survey of applications of the MFS to inverse problems. Zbl 1220.65157 Karageorghis, A.; Lesnic, D.; Marin, L. 128 2011 Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036 Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 31 2011 Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046 Karageorghis, A.; Lesnic, D. 19 2011 The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194 Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 17 2011 Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135 Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon 16 2011 Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075 Karageorghis, A. 10 2011 The MFS for the detection of inner boundaries in linear elasticity. Zbl 1275.74005 Karageorghis, A.; Lesnic, D.; Marin, L. 2 2011 Spectral element discretization of the Stokes equations in deformed axisymmetric geometries. Zbl 1262.65186 Belhachmi, Zakaria; Karageorghis, Andreas 1 2011 The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139 Karageorghis, A.; Lesnic, D. 19 2010 The under-determined version of the MFS: taking more sources than collocation points. Zbl 1196.65187 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 8 2010 Efficient Kansa-type MFS algorithm for elliptic problems. Zbl 1190.65184 Karageorghis, Andreas 8 2010 The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188 Karageorghis, A.; Lesnic, Daniel 8 2010 Spectral Chebyshev collocation for the Poisson and biharmonic equations. Zbl 1217.65213 Bialecki, Bernard; Karageorghis, Andreas 4 2010 Detection of cavities using the method of fundamental solutions. Zbl 1175.65130 Karageorghis, A.; Lesnic, D. 22 2009 Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184 Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S. 19 2009 Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 13 2009 Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224 Tankelevich, R.; Fairweather, G.; Karageorghis, A. 9 2009 Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044 Marin, Liviu; Karageorghis, Andreas 7 2009 Matrix decomposition algorithms related to the MFS for axisymmetric problems. Zbl 1161.74507 Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 4 2009 Efficient MFS algorithms in regular polygonal domains. Zbl 1162.65409 Karageorghis, Andreas 4 2009 Special issue on the method of fundamental solutions in honour of Professor Michael Golberg. Zbl 1244.01021 Brebbia, Carlos A.; Karageorghis, Andreas 3 2009 Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054 Karageorghis, A.; Lesnic, D. 18 2008 Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093 Bialecki, Bernard; Karageorghis, Andreas 8 2008 Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089 Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N. 6 2008 The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007 Karageorghis, A.; Lesnic, D. 6 2008 On solving the Dirichlet generalized problem for harmonic function by the method of fundamental solutions. Zbl 1222.65132 Zakradze, M.; Koblishvili, N.; Karageorghis, A.; Smyrlis, Y. 5 2008 Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Zbl 1154.65092 Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 5 2008 Optimal superconvergent one step quadratic spline collocation methods for Helmholtz problems. Zbl 1157.65470 Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Nguyen, Que N. 5 2008 A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305 Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis 24 2007 Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. Zbl 1206.35067 Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 20 2007 Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. Zbl 1194.74086 Berger, J. R.; Karageorghis, Andreas; Martin, P. A. 12 2007 Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506 Karageorghis, Andreas; Kyza, Irene 10 2007 A nonoverlapping domain decomposition method for Legendre spectral collocation problems. Zbl 1134.65086 Bialecki, Bernard; Karageorghis, Andreas 5 2007 Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094 Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas 5 2007 A spectral mortar element discretization of the Poisson equation with mixed boundary conditions. Zbl 1113.65113 Belhachmi, Zakaria; Karageorghis, Andreas 1 2007 Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035 Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 15 2006 Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336 Karageorghis, A.; Poullikkas, A.; Berger, J. R. 14 2006 Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118 Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 12 2006 The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains. Zbl 1141.80017 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 5 2006 A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117 Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 5 2006 A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060 Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T. 5 2006 Identification and reconstruction of a small leak zone in a pipe by a spectral element method. Zbl 1102.76046 Belhachmi, Z.; Karageorghis, A.; Taous, K. 1 2006 A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135 Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 8 2005 Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118 Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 7 2005 Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 20 2004 A matrix decomposition MFS algorithm for axisymmetric potential problems. Zbl 1074.65134 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 14 2004 Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Zbl 1075.65139 Bialecki, Bernard; Karageorghis, Andreas 10 2004 Spectral element discretization of the circular driven cavity. IV: the Navier-Stokes equations. Zbl 1084.65121 Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas 3 2004 A matrix decomposition MES algorithm for biharmonic problems in annular domains. Zbl 1231.65249 Tsangaris, T.; Smyrlis, Y.-S.; Karageorghis, A. 1 2004 The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649 Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A. 128 2003 Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135 Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 11 2003 Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 11 2003 A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 8 2003 Spectral element discretization of the circular driven cavity. Part III: The Stokes equations in primitive variables. Zbl 1031.65135 Belhachmi, Z.; Bernardi, Christine; Karageorghis, Andreas 1 2003 The method of fundamental solutions in three-dimensional elastostatics. Zbl 1067.74023 Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios 4 2002 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,336 Authors 104 Karageorghis, Andreas 60 Chen, Ching-Shyang 55 Chen, Wen 43 Lesnic, Daniel 36 Marin, Liviu 35 Gu, Yan 32 Fan, Chia-Ming 31 Doha, Eid H. 30 Young, Der-Liang 28 Fu, Zhuojia 26 Li, Zi-Cai 25 Johansson, B. Tomas 24 Tsai, Chia-Cheng 22 Wang, Fajie 20 Alves, Carlos J. S. 20 Lin, Ji 20 Sun, Linlin 17 Smyrlis, Yiorgos-Sokratis 16 Bialecki, Bernard 16 Fairweather, Graeme 16 Huang, Hung-Tsai 16 Qu, Wenzhen 15 Cheng, Alexander H.-D. 15 Li, Ming 15 Qin, Qinghua 15 Šarler, Božidar 14 Bhrawy, Ali Hassan 14 Zhang, Chuanzeng 13 Abd-Elhameed, Waleed Mohamed 13 Wei, Xing 12 Kolodziej, Jan Adam 12 Li, Xiaolin 12 Liu, Chein-Shan 12 Wei, Ting 10 Antunes, Pedro Ricardo Simão 10 Lee, Ming-Gong 10 Martins, Nuno F. M. 10 Potier-Ferry, Michel 9 Chapko, Roman 9 Chen, Bin 9 Dou, Fangfang 9 Godinho, Luís M. C. 9 Grabski, Jakub Krzysztof 9 Liu, Xiaoyan 9 Sun, Yao 9 Valtchev, Svilen S. 9 Zhang, Liping 8 Hon, Yiu-Chung 8 Ling, Leevan 8 Tadeu, António J. B. 8 Wang, Fuzhang 8 Wang, Hui 7 Liu, Qingguo 7 Oruç, Ömer 7 Phillips, Timothy N. 7 Reeve, Thomas 7 Zhu, Huiqing 6 Abbasbandy, Saeid 6 Abou-Dina, Moustafa S. 6 Ahmed, Hany M. 6 Ang, Whyeteong 6 Bin-Mohsin, Bandar 6 Boroomand, Bijan 6 Chen, Chuin-Shan 6 Dehghan Takht Fooladi, Mehdi 6 Guo, Ben-Yu 6 Jankowska, Malgorzata A. 6 Li, Junpu 6 Li, Po-Wei 6 Li, Xinxiang 6 Napoli, Anna 6 Ramachandran, Palghat A. 6 Reddy, Gujji Murali Mohan 6 Shanazari, Kamal 6 Shivanian, Elyas 6 Siddiqi, Shahid Saeed 6 Siraj-ul-Islam 6 Yang, Fenglian 5 Akram, Ghazala 5 An, Jing 5 Aslefallah, Mohammad 5 Berger, J. R. 5 Chen, Jeng-Tzong 5 Chiang, John Y. 5 Dong, Heping 5 Du, Kui 5 El-Gamel, Mohamed 5 El-Soubhy, Salma Ibrahim 5 Georgiou, Georgios C. 5 Hafez, Ramy Mahmoud 5 Hematiyan, Mohammad Rahim 5 Koblishvili, Nana 5 Ku, Cheng-Yu 5 Li, Jichun 5 Li, Wen 5 Li, Xin 5 Ma, Fuming 5 Mierzwiczak, Magdalena 5 Paprzycki, Marcin 5 Rashed, Youssef F. ...and 1,236 more Authors all top 5 Cited in 168 Serials 322 Engineering Analysis with Boundary Elements 81 Computers & Mathematics with Applications 57 Applied Mathematics and Computation 42 Journal of Computational and Applied Mathematics 41 Journal of Computational Physics 36 Inverse Problems in Science and Engineering 35 Numerical Algorithms 33 Applied Mathematical Modelling 26 Journal of Scientific Computing 23 Numerical Methods for Partial Differential Equations 22 Computer Methods in Applied Mechanics and Engineering 22 Applied Mathematics Letters 20 Advances in Applied Mathematics and Mechanics 19 Mathematics and Computers in Simulation 19 Applied Numerical Mathematics 17 International Journal of Computer Mathematics 16 International Journal for Numerical Methods in Engineering 16 Computational Mechanics 13 Mathematical Problems in Engineering 11 Advances in Computational Mathematics 9 International Journal of Computational Methods 8 Computational and Applied Mathematics 7 Journal of Engineering Mathematics 7 International Journal of Applied and Computational Mathematics 6 Computers and Fluids 6 International Journal for Numerical Methods in Fluids 6 Mathematical and Computer Modelling 6 Communications in Computational Physics 6 Transactions of A. Razmadze Mathematical Institute 5 Applicable Analysis 5 Wave Motion 5 SIAM Journal on Scientific Computing 5 Communications in Numerical Methods in Engineering 5 Integral Transforms and Special Functions 5 Journal of Applied Mathematics and Computing 4 Inverse Problems 4 Journal of Fluid Mechanics 4 Journal of Mathematical Analysis and Applications 4 BIT 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Journal of the Egyptian Mathematical Society 4 Journal of Applied Mathematics 4 Mediterranean Journal of Mathematics 4 Inverse Problems and Imaging 3 International Journal of Heat and Mass Transfer 3 International Journal of Solids and Structures 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematics of Computation 3 Computing 3 The Journal of Analysis 3 Abstract and Applied Analysis 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 European Journal of Mechanics. B. Fluids 3 Communications in Nonlinear Science and Numerical Simulation 3 SIAM Journal on Imaging Sciences 3 International Journal for Numerical Methods in Biomedical Engineering 3 Journal of Function Spaces 3 AIMS Mathematics 2 Acta Mechanica 2 Computer Physics Communications 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 Ukrainian Mathematical Journal 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Bulletin of the Iranian Mathematical Society 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Archive of Applied Mechanics 2 Journal of Mathematical Imaging and Vision 2 Advances in Engineering Software 2 Numerical Linear Algebra with Applications 2 Fractals 2 Journal of Inverse and Ill-Posed Problems 2 Journal of Mathematical Chemistry 2 Mathematics and Mechanics of Solids 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Journal of Mechanics. A. Solids 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Engineering Computations 2 The ANZIAM Journal 2 Discrete and Continuous Dynamical Systems. Series B 2 Boundary Value Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Frontiers of Mathematics in China 2 Advances in Mathematical Physics 2 Mathematical Sciences 2 JSIAM Letters 2 Journal of Mathematics 2 Computational Methods for Differential Equations 2 Electronic Research Archive 2 Mechanics of Solids 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Biology 1 Mathematische Semesterberichte 1 Physics Letters. A ...and 68 more Serials all top 5 Cited in 36 Fields 986 Numerical analysis (65-XX) 461 Partial differential equations (35-XX) 231 Mechanics of deformable solids (74-XX) 172 Fluid mechanics (76-XX) 86 Classical thermodynamics, heat transfer (80-XX) 61 Ordinary differential equations (34-XX) 43 Optics, electromagnetic theory (78-XX) 30 Approximations and expansions (41-XX) 28 Special functions (33-XX) 24 Potential theory (31-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 16 Integral equations (45-XX) 14 Biology and other natural sciences (92-XX) 11 Geophysics (86-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Probability theory and stochastic processes (60-XX) 8 Functions of a complex variable (30-XX) 8 Operator theory (47-XX) 6 Computer science (68-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Number theory (11-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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