Edit Profile (opens in new tab) Karageorghis, Andreas Compute Distance To: Compute 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 Documents Indexed: 166 Publications since 1985 1 Contribution as Editor Co-Authors: 46 Co-Authors with 141 Joint Publications 1,240 Co-Co-Authors all top 5 Co-Authors 23 single-authored 23 Lesnic, Daniel 22 Smyrlis, Yiorgos-Sokratis 19 Chen, Ching-Shyang 18 Fairweather, Graeme 17 Marin, Liviu 15 Bialecki, Bernard 11 Phillips, Timothy N. 8 Georgiou, Georgios C. 8 Poullikkas, Andreas 7 Belhachmi, Zakaria 7 Bernardi, Christine 5 Berger, J. R. 5 Jankowska, Malgorzata A. 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 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 19 Engineering Analysis with Boundary Elements 15 Journal of Scientific Computing 15 Numerical Algorithms 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 Applied Numerical Mathematics 4 Computers & Mathematics with Applications 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 SIAM Journal on Numerical Analysis 3 Applied Mathematics Letters 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Mathematics and Computers in Simulation 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 145 Numerical analysis (65-XX) 82 Partial differential equations (35-XX) 32 Fluid mechanics (76-XX) 24 Mechanics of deformable solids (74-XX) 13 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 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 153 Publications have been cited 2,396 times in 1,104 Documents Cited by ▼ Year ▼ The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074Fairweather, Graeme; Karageorghis, Andreas 468 1998 The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A. 115 2003 A survey of applications of the MFS to inverse problems. Zbl 1220.65157Karageorghis, A.; Lesnic, D.; Marin, L. 114 2011 The method of fundamental solutions for the numerical solution of the biharmonic equation. Zbl 0618.65108Karageorghis, Andreas; Fairweather, Graeme 106 1987 On choosing the location of the sources in the MFS. Zbl 1338.65269Chen, C. S.; Karageorghis, Andreas; Li, Yan 91 2016 Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0635.73091Davis, A. R.; Karageorghis, A.; Phillips, T. N. 59 1988 Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0637.76008Karageorghis, A.; Phillips, T. N.; Davies, A. R. 48 1988 Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Zbl 0913.65104Poullikkas, A.; Karageorghis, A.; Georgiou, G. 48 1998 The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111Karageorghis, A. 47 2001 Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 44 2001 The method of fundamental solutions for heat conduction in layered materials. Zbl 0972.80014Berger, J. R.; Karageorghis, Andreas 42 1999 Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities. Zbl 0760.65103Karageorghis, Andreas 35 1992 The method of fundamental solutions for layered elastic materials. Zbl 1008.74081Berger, J. R.; Karageorghis, A. 34 2001 The method of fundamental solutions for axisymmetric potential problems. Zbl 0932.74078Karageorghis, Andreas; Fairweather, Graeme 33 1999 The method of fundamental solutions for axisymmetric elasticity problems. Zbl 1011.74005Karageorghis, A.; Fairweather, G. 32 2000 The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136Li, Ming; Chen, C. S.; Karageorghis, A. 29 2013 Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 28 2011 A Legendre spectral Galerkin method for the biharmonic Dirichlet problem. Zbl 0986.65115Bialecki, Bernard; Karageorghis, Andreas 25 2000 A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function. Zbl 0642.65011Karageorghis, Andreas 25 1988 A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis 23 2007 The simple layer potential method of fundamental solutions for certain biharmonic problems. Zbl 0687.76028Karageorghis, Andreas; Fairweather, Graeme 23 1989 The Almansi method of fundamental solutions for solving biharmonic problems. Zbl 0639.65066Karageorghis, Andreas; Fairweather, Graeme 22 1988 The method of fundamental solutions for the solution of nonlinear plane potential problems. Zbl 0676.65110Karageorghis, A.; Fairweather, G. 22 1989 Detection of cavities using the method of fundamental solutions. Zbl 1175.65130Karageorghis, A.; Lesnic, D. 21 2009 Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. 20 2018 On the coefficients of integrated expansions of ultraspherical polynomials. Zbl 0701.33007Phillips, Timothy N.; Karageorghis, Andreas 20 1990 Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 19 2004 Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S. 18 2009 The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139Karageorghis, A.; Lesnic, D. 18 2010 Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. Zbl 1206.35067Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 18 2007 The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions. Zbl 0985.78004Poullikkas, A.; Karageorghis, A.; Georgiou, G. 17 2001 The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 17 2011 Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046Karageorghis, A.; Lesnic, D. 17 2011 Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054Karageorghis, A.; Lesnic, D. 17 2008 The method of fundamental solutions for inhomogeneous elliptic problems. Zbl 0913.65103Poullikkas, A.; Karageorghis, A.; Georgiou, G. 16 1998 A novel RBF collocation method using fictitious centres. Zbl 1464.65198Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang 16 2020 Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon 15 2011 A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 15 2013 A matrix decomposition MFS algorithm for axisymmetric potential problems. Zbl 1074.65134Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 14 2004 The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. Zbl 1255.65203Karageorghis, A.; Johansson, B. T.; Lesnic, D. 14 2012 The method of fundamental solutions for Signorini problems. Zbl 0901.73017Poullikkas, A.; Karageorghis, A.; Georgiou, G. 14 1998 The method of fundamental solutions for the solution of steady-state free boundary problems. Zbl 0745.65075Karageorghis, Andreas 13 1992 Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan 13 2016 Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 13 2006 Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 13 2009 Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336Karageorghis, A.; Poullikkas, A.; Berger, J. R. 13 2006 Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. Zbl 1194.74086Berger, J. R.; Karageorghis, Andreas; Martin, P. A. 12 2007 A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S. 12 2015 Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 12 2006 Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 11 2003 A note on the Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function. Zbl 0639.65012Karageorghis, Andreas 11 1988 Numerical solution of a shallow dam problem by a boundary element method. Zbl 0597.76096Karageorghis, A. 11 1987 Chebyshev spectral collocation methods for laminar flow through a channel contraction. Zbl 0677.76025Karageorghis, Andreas; Phillips, Timothy N. 11 1989 Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506Karageorghis, Andreas; Kyza, Irene 10 2007 Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075Karageorghis, A. 10 2011 Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110Belhachmi, Z.; Bernardi, C.; Karageorghis, A. 9 2001 Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 9 2003 Efficient direct methods for solving the spectral collocation equations for Stokes flow in rectangularly decomposable domains. Zbl 0665.76039Phillips, Timothy N.; Karageorghis, Andreas 9 1989 Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Zbl 1075.65139Bialecki, Bernard; Karageorghis, Andreas 9 2004 Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains. Zbl 0659.76037Karageorghis, A.; Phillips, T. N. 9 1989 Conforming Chebyshev spectral collocation methods for the solution of laminar flow in a constricted channel. Zbl 0709.76039Karageorghis, Andreas; Phillips, Timothy N. 9 1991 The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009Marin, Liviu; Karageorghis, Andreas 9 2013 Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093Bialecki, Bernard; Karageorghis, Andreas 8 2008 A Legendre spectral collocation method for the biharmonic Dirichlet problem. Zbl 0984.65121Bialecki, Bernard; Karageorghis, Andreas 8 2000 A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 8 2005 A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 8 2003 A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains. Zbl 0751.65063Karageorghis, Andreas 8 1991 Efficient Kansa-type MFS algorithm for elliptic problems. Zbl 1190.65184Karageorghis, Andreas 8 2010 The under-determined version of the MFS: taking more sources than collocation points. Zbl 1196.65187Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 8 2010 The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. Zbl 1430.76390Karageorghis, Andreas; Lesnic, Daniel 7 2019 A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication. Zbl 0769.76052Raad, Peter E.; Karageorghis, Andreas 7 1993 Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224Tankelevich, R.; Fairweather, G.; Karageorghis, A. 7 2009 On the coefficients of differentiated expansions of ultraspherical polynomials. Zbl 0748.65063Karageorghis, Andreas; Phillips, Timothy N. 7 1992 The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method. Zbl 0825.76607Karageorghis, Andreas 7 1992 The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188Karageorghis, A.; Lesnic, Daniel 7 2010 The method of fundamental solutions for Stokes flows with a free surface. Zbl 0922.76262Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios; Ascough, John 7 1998 Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 7 2005 Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044Marin, Liviu; Karageorghis, Andreas 7 2009 Kansa RBF method for nonlinear problems. Zbl 1416.65479Jankowska, M. A.; Karageorghis, A.; Chen, C. S. 7 2018 Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1464.65206Jankowska, Malgorzata A.; Karageorghis, Andreas 7 2019 The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 07318236Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S. 6 2021 Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N. 6 2008 A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries. Zbl 0892.76064Karageorghis, Andreas; Tang, Tao 6 1996 Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer. Zbl 0636.65083Karageorghis, Andreas 6 1988 Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016Karageorghis, A.; Marin, L. 6 2013 The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007Karageorghis, A.; Lesnic, D. 6 2008 The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210Karageorghis, Andreas 6 2015 Conforming Chebyshev spectral methods for Poisson problems in rectangular domains. Zbl 0784.65083Karageorghis, Andreas 5 1993 The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 5 2017 Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Zbl 1154.65092Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 5 2008 A fully conforming spectral collocation scheme for second- and fourth-order problems. Zbl 0945.65522Karageorghis, Andreas 5 1995 A nonoverlapping domain decomposition method for Legendre spectral collocation problems. Zbl 1134.65086Bialecki, Bernard; Karageorghis, Andreas 5 2007 A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T. 5 2006 Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas 5 2007 The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains. Zbl 1141.80017Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 5 2006 A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 5 2006 Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains. Zbl 0802.65114Karageorghis, A. 4 1994 Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems. Zbl 1464.65269Grabski, Jakub Krzysztof; Karageorghis, Andreas 4 2019 Conforming spectral methods for Poisson problems in cuboidal domains. Zbl 0822.65091Karageorghis, Andreas 4 1994 The method of fundamental solutions in three-dimensional elastostatics. Zbl 1067.74023Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios 4 2002 A time-efficient variable shape parameter Kansa-radial basis function method for the solution of nonlinear boundary value problems. Zbl 07427448Karageorghis, Andreas 1 2022 Fictitious centre RBF method for high order BVPs in multiply connected domains. Zbl 07443214Karageorghis, Andreas; Noorizadegan, Amir; Chen, C. S. 1 2022 The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 07318236Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S. 6 2021 Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. Zbl 1478.65135Chen, C. S.; Karageorghis, Andreas; Amuzu, Lionel 2 2021 The method of fundamental solutions for Brinkman flows. I: Exterior domains. Zbl 1476.65329Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 1 2021 A novel RBF collocation method using fictitious centres. Zbl 1464.65198Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang 16 2020 The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S. 4 2020 Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. Zbl 1475.65175Karageorghis, Andreas; Lesnic, Daniel 2 2020 Improved RBF collocation methods for fourth order boundary value problems. Zbl 1473.65327Chen, C. S.; Karageorghis, Andreas; Zheng, Hui 2 2020 Kansa radial basis function method with fictitious centres for solving nonlinear boundary value problems. Zbl 1464.65207Katsiamis, Andreas; Karageorghis, Andreas 2 2020 A quadratic spline collocation method for the Dirichlet biharmonic problem. Zbl 1434.65290Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Maack, Jonathan 1 2020 A fictitious points one-step MPS-MFS technique. Zbl 07208711Zhu, Xiaomin; Dou, Fangfang; Karageorghis, Andreas; Chen, C. S. 1 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 1 2020 The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. Zbl 1430.76390Karageorghis, Andreas; Lesnic, Daniel 7 2019 Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1464.65206Jankowska, Malgorzata A.; Karageorghis, Andreas 7 2019 Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems. Zbl 1464.65269Grabski, Jakub Krzysztof; Karageorghis, Andreas 4 2019 Local RBF algorithms for elliptic boundary value problems in annular domains. Zbl 1473.65326Chen, C. S.; Karageorghis, Andreas 1 2019 Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. 20 2018 Kansa RBF method for nonlinear problems. Zbl 1416.65479Jankowska, M. A.; Karageorghis, A.; Chen, C. S. 7 2018 The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering. Zbl 1403.76084Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 3 2018 Kansa-RBF algorithms for elliptic problems in regular polygonal domains. Zbl 1405.65157Karageorghis, 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 1457.65230Bialecki, Bernard; Karageorghis, Andreas 2 2018 The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 5 2017 Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method. Zbl 1370.65070Liu, 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 1369.65135Marin, L.; Karageorghis, A.; Lesnic, D.; Johansson, B. T. 2 2017 On choosing the location of the sources in the MFS. Zbl 1338.65269Chen, C. S.; Karageorghis, Andreas; Li, Yan 91 2016 Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan 13 2016 The plane waves method for axisymmetric Helmholtz problems. Zbl 1403.65161Karageorghis, Andreas 3 2016 A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S. 12 2015 The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210Karageorghis, Andreas 6 2015 A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity. Zbl 1308.74038Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 4 2015 Simultaneous numerical determination of a corroded boundary and its admittance. Zbl 1326.65150Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L. 2 2015 Finite difference schemes for the Cauchy-Navier equations of elasticity with variable coefficients. Zbl 1440.74462Bialecki, Bernard; Karageorghis, Andreas 2 2015 Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems. Zbl 1308.65205Karageorghis, A.; Lesnic, D.; Marin, L. 4 2014 A Kansa-RBF method for Poisson problems in annular domains. Zbl 1325.65160Karageorghis, A.; Chen, C. S. 1 2014 The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136Li, Ming; Chen, C. S.; Karageorghis, A. 29 2013 A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 15 2013 The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009Marin, Liviu; Karageorghis, Andreas 9 2013 Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016Karageorghis, A.; Marin, L. 6 2013 Galerkin formulations of the method of fundamental solutions. Zbl 1279.65131Berger, J. R.; Karageorghis, Andreas 1 2013 The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. Zbl 1255.65203Karageorghis, A.; Johansson, B. T.; Lesnic, D. 14 2012 MFS-based solution to two-dimensional linear thermoelasticity problems. Zbl 1308.74037Marin, Liviu; Karageorghis, A. 2 2012 A meshless numerical identification of a sound-hard obstacle. Zbl 1351.74090Karageorghis, A.; Lesnic, D. 2 2012 A survey of applications of the MFS to inverse problems. Zbl 1220.65157Karageorghis, A.; Lesnic, D.; Marin, L. 114 2011 Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 28 2011 The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 17 2011 Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046Karageorghis, A.; Lesnic, D. 17 2011 Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon 15 2011 Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075Karageorghis, A. 10 2011 The MFS for the detection of inner boundaries in linear elasticity. Zbl 1275.74005Karageorghis, A.; Lesnic, D.; Marin, L. 2 2011 Spectral element discretization of the Stokes equations in deformed axisymmetric geometries. Zbl 1262.65186Belhachmi, Zakaria; Karageorghis, Andreas 1 2011 The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139Karageorghis, A.; Lesnic, D. 18 2010 Efficient Kansa-type MFS algorithm for elliptic problems. Zbl 1190.65184Karageorghis, Andreas 8 2010 The under-determined version of the MFS: taking more sources than collocation points. Zbl 1196.65187Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 8 2010 The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188Karageorghis, A.; Lesnic, Daniel 7 2010 Spectral Chebyshev collocation for the Poisson and biharmonic equations. Zbl 1217.65213Bialecki, Bernard; Karageorghis, Andreas 4 2010 Detection of cavities using the method of fundamental solutions. Zbl 1175.65130Karageorghis, A.; Lesnic, D. 21 2009 Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S. 18 2009 Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 13 2009 Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224Tankelevich, R.; Fairweather, G.; Karageorghis, A. 7 2009 Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044Marin, Liviu; Karageorghis, Andreas 7 2009 Efficient MFS algorithms in regular polygonal domains. Zbl 1162.65409Karageorghis, Andreas 4 2009 Matrix decomposition algorithms related to the MFS for axisymmetric problems. Zbl 1161.74507Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 4 2009 Special issue on the method of fundamental solutions in honour of Professor Michael Golberg. Zbl 1244.01021Brebbia, Carlos A.; Karageorghis, Andreas 2 2009 Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054Karageorghis, A.; Lesnic, D. 17 2008 Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093Bialecki, Bernard; Karageorghis, Andreas 8 2008 Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N. 6 2008 The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007Karageorghis, A.; Lesnic, D. 6 2008 Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Zbl 1154.65092Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 5 2008 On solving the Dirichlet generalized problem for harmonic function by the method of fundamental solutions. Zbl 1222.65132Zakradze, M.; Koblishvili, N.; Karageorghis, A.; Smyrlis, Y. 4 2008 Optimal superconvergent one step quadratic spline collocation methods for Helmholtz problems. Zbl 1157.65470Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Nguyen, Que N. 3 2008 A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis 23 2007 Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. Zbl 1206.35067Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 18 2007 Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. Zbl 1194.74086Berger, J. R.; Karageorghis, Andreas; Martin, P. A. 12 2007 Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506Karageorghis, Andreas; Kyza, Irene 10 2007 A nonoverlapping domain decomposition method for Legendre spectral collocation problems. Zbl 1134.65086Bialecki, Bernard; Karageorghis, Andreas 5 2007 Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas 5 2007 A spectral mortar element discretization of the Poisson equation with mixed boundary conditions. Zbl 1113.65113Belhachmi, Zakaria; Karageorghis, Andreas 1 2007 Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 13 2006 Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336Karageorghis, A.; Poullikkas, A.; Berger, J. R. 13 2006 Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 12 2006 A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T. 5 2006 The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains. Zbl 1141.80017Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 5 2006 A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 5 2006 Identification and reconstruction of a small leak zone in a pipe by a spectral element method. Zbl 1102.76046Belhachmi, Z.; Karageorghis, A.; Taous, K. 1 2006 A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 8 2005 Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 7 2005 Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 19 2004 A matrix decomposition MFS algorithm for axisymmetric potential problems. Zbl 1074.65134Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 14 2004 Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Zbl 1075.65139Bialecki, Bernard; Karageorghis, Andreas 9 2004 Spectral element discretization of the circular driven cavity. IV: the Navier-Stokes equations. Zbl 1084.65121Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas 3 2004 A matrix decomposition MES algorithm for biharmonic problems in annular domains. Zbl 1231.65249Tsangaris, T.; Smyrlis, Y.-S.; Karageorghis, A. 1 2004 The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A. 115 2003 Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 11 2003 Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 9 2003 A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 8 2003 Spectral element discretization of the circular driven cavity. Part III: The Stokes equations in primitive variables. Zbl 1031.65135Belhachmi, Z.; Bernardi, Christine; Karageorghis, Andreas 1 2003 The method of fundamental solutions in three-dimensional elastostatics. Zbl 1067.74023Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios 4 2002 The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111Karageorghis, A. 47 2001 Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 44 2001 ...and 53 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,173 Authors 100 Karageorghis, Andreas 54 Chen, Ching-Shyang 42 Lesnic, Daniel 40 Chen, Wen 34 Marin, Liviu 30 Doha, Eid H. 30 Gu, Yan 26 Li, Zi-Cai 25 Fu, Zhuojia 23 Johansson, B. Tomas 20 Fan, Chia-Ming 19 Alves, Carlos J. S. 18 Lin, Ji 17 Smyrlis, Yiorgos-Sokratis 17 Wang, Fajie 16 Huang, Hung-Tsai 16 Sun, Linlin 15 Bialecki, Bernard 15 Qu, Wenzhen 15 Šarler, Božidar 15 Tsai, Chia-Cheng 14 Bhrawy, Ali Hassan 14 Cheng, Alexander H.-D. 14 Fairweather, Graeme 14 Qin, Qinghua 13 Abd-Elhameed, Waleed Mohamed 12 Li, Xiaolin 12 Liu, Chein-Shan 12 Zhang, Chuanzeng 11 Kolodziej, Jan Adam 10 Lee, Ming-Gong 10 Potier-Ferry, Michel 10 Wei, Xing 9 Antunes, Pedro Ricardo Simão 9 Dou, Fangfang 9 Godinho, Luís M. C. 9 Grabski, Jakub Krzysztof 9 Liu, Xiaoyan 9 Martins, Nuno F. M. 9 Valtchev, Svilen S. 9 Wang, Hui 9 Zhang, Liping 8 Hon, Yiu-Chung 8 Ling, Leevan 8 Tadeu, António J. B. 8 Wang, Fuzhang 7 Chapko, Roman 7 Li, Jichun 7 Liu, Qingguo 7 Phillips, Timothy N. 7 Reeve, Thomas 7 Sun, Yao 7 Wei, Ting 6 Abou-Dina, Moustafa S. 6 Ahmed, Hany M. 6 Bin-Mohsin, Bandar 6 Boroomand, Bijan 6 Dehghan Takht Fooladi, Mehdi 6 Guo, Ben-Yu 6 Li, Po-Wei 6 Ma, Fuming 6 Napoli, Anna 6 Ramachandran, Palghat A. 6 Siddiqi, Shahid Saeed 6 Siraj-ul-Islam 5 Abbasbandy, Saeid 5 Akram, Ghazala 5 Berger, J. R. 5 Chen, Jeng-Tzong 5 Chiang, John Y. 5 Du, Kui 5 El-Gamel, Mohamed 5 El-Soubhy, Salma Ibrahim 5 Georgiou, Georgios C. 5 Hematiyan, Mohammad Rahim 5 Jankowska, Malgorzata A. 5 Ku, Cheng-Yu 5 Li, Junpu 5 Li, Xinxiang 5 Paprzycki, Marcin 5 Rashed, Youssef F. 5 Shanazari, Kamal 5 Shivanian, Elyas 5 Tri, Abdeljalil 5 Yang, Fenglian 5 Yao, Guangming 5 Yeih, Weichung 5 Zahrouni, Hamid 5 Zhang, Deyue 5 Zhang, Shougui 5 Zhu, Huiqing 4 Ang, Whyeteong 4 António, Julieta M. P. 4 Aslefallah, Mohammad 4 Balakrishnan, Karthik 4 Borachok, Ihor 4 Cavoretto, Roberto 4 Costabile, Francesco Aldo 4 Cuminato, José Alberto 4 Desmet, Wim ...and 1,073 more Authors all top 5 Cited in 153 Serials 312 Engineering Analysis with Boundary Elements 74 Computers & Mathematics with Applications 55 Applied Mathematics and Computation 40 Journal of Computational Physics 40 Journal of Computational and Applied Mathematics 35 Inverse Problems in Science and Engineering 32 Numerical Algorithms 28 Applied Mathematical Modelling 26 Journal of Scientific Computing 19 Computer Methods in Applied Mechanics and Engineering 19 Applied Mathematics Letters 18 Mathematics and Computers in Simulation 18 Applied Numerical Mathematics 18 Advances in Applied Mathematics and Mechanics 16 Computational Mechanics 16 International Journal of Computer Mathematics 15 International Journal for Numerical Methods in Engineering 14 Numerical Methods for Partial Differential Equations 13 Mathematical Problems in Engineering 10 Advances in Computational Mathematics 9 International Journal of Computational Methods 7 Journal of Engineering Mathematics 7 Computational and Applied 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 5 SIAM Journal on Scientific Computing 5 Communications in Numerical Methods in Engineering 5 Integral Transforms and Special Functions 5 Transactions of A. Razmadze Mathematical Institute 4 Applicable Analysis 4 Inverse Problems 4 Journal of Fluid Mechanics 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 Journal of Applied Mathematics and Computing 4 Inverse Problems and Imaging 3 International Journal of Heat and Mass Transfer 3 International Journal of Solids and Structures 3 Journal of Mathematical Analysis and Applications 3 Wave Motion 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematics of Computation 3 Computing 3 Abstract and Applied Analysis 3 European Journal of Mechanics. B. Fluids 3 Communications in Nonlinear Science and Numerical Simulation 3 Mediterranean Journal of Mathematics 3 International Journal for Numerical Methods in Biomedical Engineering 3 AIMS Mathematics 2 Acta Mechanica 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Methods in the Applied Sciences 2 Numerische Mathematik 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 Advances in Engineering Software 2 The Journal of Analysis 2 Numerical Linear Algebra with Applications 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 Frontiers of Mathematics in China 2 Mathematical Sciences 2 JSIAM Letters 2 Journal of Mathematics 2 Journal of Function Spaces 2 Computational Methods for Differential Equations 1 Computer Physics Communications 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 1 Ukrainian Mathematical Journal 1 Theoretical and Computational Fluid Dynamics 1 Applied Mathematics and Optimization 1 Collectanea Mathematica 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Mathematica Slovaca 1 Meccanica 1 Mechanics Research Communications 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis ...and 53 more Serials all top 5 Cited in 37 Fields 901 Numerical analysis (65-XX) 398 Partial differential equations (35-XX) 212 Mechanics of deformable solids (74-XX) 173 Fluid mechanics (76-XX) 79 Classical thermodynamics, heat transfer (80-XX) 61 Ordinary differential equations (34-XX) 34 Optics, electromagnetic theory (78-XX) 24 Special functions (33-XX) 23 Approximations and expansions (41-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 17 Potential theory (31-XX) 11 Integral equations (45-XX) 11 Geophysics (86-XX) 11 Biology and other natural sciences (92-XX) 10 Probability theory and stochastic processes (60-XX) 8 Functions of a complex variable (30-XX) 7 Operator theory (47-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 4 Integral transforms, operational calculus (44-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-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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