Edit Profile Karageorghis, Andreas Compute Distance To: Compute Author ID: karageorghis.andreas Published as: Karageorghis, A.; Karageorghis, Andreas; Karageorghis, Andréas Homepage: http://www.mas.ucy.ac.cy/english/teachers/karagheorgis_eng.htm External Links: MGP · Wikidata · ORCID · ResearchGate · dblp Documents Indexed: 155 Publications since 1985, including 1 Book all top 5 Co-Authors 21 single-authored 22 Smyrlis, Yiorgos-Sokratis 19 Lesnic, Daniel 18 Fairweather, Graeme 15 Bialecki, Bernard 14 Chen, Ching-Shyang 14 Marin, Liviu 11 Phillips, Timothy N. 8 Georgiou, Georgios C. 8 Poullikkas, Andreas 7 Belhachmi, Zakaria 7 Bernardi, Christine 5 Berger, J. R. 4 Jankowska, Malgorzata A. 4 Paprzycki, Marcin 4 Tsangaris, Th. 3 Liu, Xiaoyan 3 Sivaloganathan, Sivabal 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 Ascough, John 1 Bin-Mohsin, Bandar 1 Brebbia, Carlos Alberto 1 Cyphers, Cliff 1 Davies, Arthur Russell 1 Davis, Anthony R. 1 Grabski, Jakub Krzysztof 1 Katsiamis, Andreas 1 Koblishvili, Nana 1 Kyza, Irene 1 Leitão, Vitor Manuel Azevedo 1 Li, Ming 1 Li, Yan 1 Maack, Jon 1 Maack, Jonathan 1 Raad, Peter E. 1 Stylianopoulos, Nikos S. 1 Tang, Tao 1 Taous, Khalid 1 Tryfonos, Pinelopi 1 Valtchev, Svilen S. 1 Watson, Daniel W. 1 Zachariades, H. A. 1 Zakradze, Mamuli 1 Zhu, Xiaomin all top 5 Serials 18 Engineering Analysis with Boundary Elements 15 Journal of Scientific Computing 14 Numerical Algorithms 8 Journal of Computational and Applied Mathematics 7 Journal of Computational Physics 7 International Journal for Numerical Methods in Engineering 6 Computer Methods in Applied Mechanics and Engineering 6 Numerical Methods for Partial Differential Equations 6 SIAM Journal on Scientific Computing 6 Inverse Problems in Science and Engineering 5 Applied Numerical Mathematics 4 Computers & Mathematics with Applications 4 Computational Mechanics 3 IMA Journal of Numerical Analysis 3 Applied Mathematics and Computation 3 SIAM Journal on Numerical Analysis 3 Advances in Applied Mathematics and Mechanics 2 International Journal for Numerical Methods in Fluids 2 Applied Mathematics Letters 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 2 Communications in Computational Physics 1 Computers and Fluids 1 BIT 1 Computing 1 Mathematics and Computers in Simulation 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 133 Numerical analysis (65-XX) 76 Partial differential equations (35-XX) 31 Fluid mechanics (76-XX) 24 Mechanics of deformable solids (74-XX) 12 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 136 Publications have been cited 2,103 times in 940 Documents Cited by ▼ Year ▼ The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074Fairweather, Graeme; Karageorghis, Andreas 420 1998 The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A. 112 2003 The method of fundamental solutions for the numerical solution of the biharmonic equation. Zbl 0618.65108Karageorghis, Andreas; Fairweather, Graeme 98 1987 A survey of applications of the MFS to inverse problems. Zbl 1220.65157Karageorghis, A.; Lesnic, D.; Marin, L. 85 2011 On choosing the location of the sources in the MFS. Zbl 1338.65269Chen, C. S.; Karageorghis, Andreas; Li, Yan 67 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. 51 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. 47 1988 Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Zbl 0913.65104Poullikkas, A.; Karageorghis, A.; Georgiou, G. 46 1998 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 the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111Karageorghis, A. 43 2001 The method of fundamental solutions for heat conduction in layered materials. Zbl 0972.80014Berger, J. R.; Karageorghis, Andreas 36 1999 Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities. Zbl 0760.65103Karageorghis, Andreas 34 1992 The method of fundamental solutions for axisymmetric elasticity problems. Zbl 1011.74005Karageorghis, A.; Fairweather, G. 32 2000 The method of fundamental solutions for layered elastic materials. Zbl 1008.74081Berger, J. R.; Karageorghis, A. 30 2001 The method of fundamental solutions for axisymmetric potential problems. Zbl 0932.74078Karageorghis, Andreas; Fairweather, Graeme 30 1999 Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 26 2011 A Legendre spectral Galerkin method for the biharmonic Dirichlet problem. Zbl 0986.65115Bialecki, Bernard; Karageorghis, Andreas 23 2000 A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function. Zbl 0642.65011Karageorghis, Andreas 22 1988 A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis 21 2007 The simple layer potential method of fundamental solutions for certain biharmonic problems. Zbl 0687.76028Karageorghis, Andreas; Fairweather, Graeme 21 1989 The method of fundamental solutions for the solution of nonlinear plane potential problems. Zbl 0676.65110Karageorghis, A.; Fairweather, G. 21 1989 The Almansi method of fundamental solutions for solving biharmonic problems. Zbl 0639.65066Karageorghis, Andreas; Fairweather, Graeme 21 1988 Detection of cavities using the method of fundamental solutions. Zbl 1175.65130Karageorghis, A.; Lesnic, D. 20 2009 Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 19 2004 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 the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136Li, Ming; Chen, C. S.; Karageorghis, A. 16 2013 The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 16 2011 Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054Karageorghis, A.; Lesnic, D. 16 2008 The method of fundamental solutions in three-dimensional elastostatics. Zbl 1067.74023Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios 16 2002 On the coefficients of integrated expansions of ultraspherical polynomials. Zbl 0701.33007Phillips, Timothy N.; Karageorghis, Andreas 16 1990 The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139Karageorghis, A.; Lesnic, D. 15 2010 Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S. 15 2009 The method of fundamental solutions for inhomogeneous elliptic problems. Zbl 0913.65103Poullikkas, A.; Karageorghis, A.; Georgiou, G. 15 1998 Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046Karageorghis, A.; Lesnic, D. 14 2011 The method of fundamental solutions for Signorini problems. Zbl 0901.73017Poullikkas, A.; Karageorghis, A.; Georgiou, G. 14 1998 A matrix decomposition MFS algorithm for axisymmetric potential problems. Zbl 1074.65134Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 13 2004 Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon 12 2011 Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 12 2009 Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336Karageorghis, A.; Poullikkas, A.; Berger, J. R. 12 2006 Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. 11 2018 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. 11 2012 Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. Zbl 1194.74086Berger, J. R.; Karageorghis, Andreas; Martin, P. A. 11 2007 Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 11 2006 Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 11 2006 Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 11 2003 A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092Smyrlis, 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 A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 10 2013 The method of fundamental solutions for the solution of steady-state free boundary problems. Zbl 0745.65075Karageorghis, Andreas 10 1992 Chebyshev spectral collocation methods for laminar flow through a channel contraction. Zbl 0677.76025Karageorghis, Andreas; Phillips, Timothy N. 10 1989 Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan 9 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. 9 2015 Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075Karageorghis, A. 9 2011 Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Zbl 1075.65139Bialecki, Bernard; Karageorghis, Andreas 9 2004 Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 9 2003 Conforming Chebyshev spectral collocation methods for the solution of laminar flow in a constricted channel. Zbl 0709.76039Karageorghis, Andreas; Phillips, Timothy N. 9 1991 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 Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains. Zbl 0659.76037Karageorghis, A.; Phillips, T. N. 9 1989 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 Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093Bialecki, Bernard; Karageorghis, Andreas 8 2008 Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506Karageorghis, Andreas; Kyza, Irene 8 2007 A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 8 2005 Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110Belhachmi, Z.; Bernardi, C.; Karageorghis, A. 8 2001 A Legendre spectral collocation method for the biharmonic Dirichlet problem. Zbl 0984.65121Bialecki, Bernard; Karageorghis, Andreas 8 2000 The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009Marin, Liviu; Karageorghis, Andreas 7 2013 Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118Bialecki, 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 0825.76607Karageorghis, Andreas 7 1992 On the coefficients of differentiated expansions of ultraspherical polynomials. Zbl 0748.65063Karageorghis, Andreas; Phillips, Timothy N. 7 1992 A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains. Zbl 0751.65063Karageorghis, Andreas 7 1991 A novel RBF collocation method using fictitious centres. Zbl 07134545Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang 6 2020 Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016Karageorghis, A.; Marin, L. 6 2013 Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044Marin, Liviu; Karageorghis, Andreas 6 2009 A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries. Zbl 0892.76064Karageorghis, Andreas; Tang, Tao 6 1996 A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication. Zbl 0769.76052Raad, Peter E.; Karageorghis, Andreas 6 1993 Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer. Zbl 0636.65083Karageorghis, Andreas 6 1988 Kansa RBF method for nonlinear problems. Zbl 1416.65479Jankowska, M. A.; Karageorghis, A.; Chen, C. S. 5 2018 The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 5 2017 The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210Karageorghis, Andreas 5 2015 The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188Karageorghis, A.; Lesnic, Daniel 5 2010 The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007Karageorghis, A.; Lesnic, D. 5 2008 Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N. 5 2008 Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Zbl 1154.65092Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 5 2008 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 A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 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 The method of fundamental solutions for Stokes flows with a free surface. Zbl 0922.76262Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios; Ascough, John 5 1998 A fully conforming spectral collocation scheme for second- and fourth-order problems. Zbl 0945.65522Karageorghis, Andreas 5 1995 Spectral Chebyshev collocation for the Poisson and biharmonic equations. Zbl 1217.65213Bialecki, Bernard; Karageorghis, Andreas 4 2010 Matrix decomposition algorithms related to the MFS for axisymmetric problems. Zbl 1161.74507Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 4 2009 Efficient MFS algorithms in regular polygonal domains. Zbl 1162.65409Karageorghis, Andreas 4 2009 Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas 4 2007 Conforming spectral methods for Poisson problems in cuboidal domains. Zbl 0822.65091Karageorghis, Andreas 4 1994 Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains. Zbl 0802.65114Karageorghis, A. 4 1994 Conforming Chebyshev spectral methods for Poisson problems in rectangular domains. Zbl 0784.65083Karageorghis, Andreas 4 1993 On efficient direct methods for conforming spectral domain decomposition techniques. Zbl 0708.76047Karageorghis, Andreas; Phillips, Timothy N. 4 1990 Boundary integral techniques for free boundary problems. Zbl 0594.35110Aitchison, J. M.; Karageorghis, A. 4 1985 A novel RBF collocation method using fictitious centres. Zbl 07134545Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang 6 2020 Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 07110302Jankowska, Malgorzata A.; Karageorghis, Andreas 3 2019 Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems. Zbl 07063059Grabski, Jakub Krzysztof; Karageorghis, Andreas 2 2019 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 1 2019 Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. 11 2018 Kansa RBF method for nonlinear problems. Zbl 1416.65479Jankowska, M. A.; Karageorghis, A.; Chen, C. S. 5 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. 1 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 2 2017 On choosing the location of the sources in the MFS. Zbl 1338.65269Chen, C. S.; Karageorghis, Andreas; Li, Yan 67 2016 Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan 9 2016 The plane waves method for axisymmetric Helmholtz problems. Zbl 1403.65161Karageorghis, Andreas 2 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. 9 2015 The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210Karageorghis, Andreas 5 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 3 2015 Simultaneous numerical determination of a corroded boundary and its admittance. Zbl 1326.65150Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L. 1 2015 Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems. Zbl 1308.65205Karageorghis, A.; Lesnic, D.; Marin, L. 3 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. 16 2013 A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 10 2013 The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009Marin, Liviu; Karageorghis, Andreas 7 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. 11 2012 A meshless numerical identification of a sound-hard obstacle. Zbl 1351.74090Karageorghis, A.; Lesnic, D. 2 2012 MFS-based solution to two-dimensional linear thermoelasticity problems. Zbl 1308.74037Marin, Liviu; Karageorghis, A. 2 2012 A survey of applications of the MFS to inverse problems. Zbl 1220.65157Karageorghis, A.; Lesnic, D.; Marin, L. 85 2011 Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas 26 2011 The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 16 2011 Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046Karageorghis, A.; Lesnic, D. 14 2011 Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon 12 2011 Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075Karageorghis, A. 9 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. 15 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 5 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. 20 2009 Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S. 15 2009 Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 12 2009 Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044Marin, Liviu; Karageorghis, Andreas 6 2009 Matrix decomposition algorithms related to the MFS for axisymmetric problems. Zbl 1161.74507Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 4 2009 Efficient MFS algorithms in regular polygonal domains. Zbl 1162.65409Karageorghis, Andreas 4 2009 Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224Tankelevich, R.; Fairweather, G.; Karageorghis, A. 3 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. 16 2008 Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093Bialecki, Bernard; Karageorghis, Andreas 8 2008 The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007Karageorghis, A.; Lesnic, D. 5 2008 Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N. 5 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. 3 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 21 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. 11 2007 Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506Karageorghis, Andreas; Kyza, Irene 8 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 4 2007 A spectral mortar element discretization of the Poisson equation with mixed boundary conditions. Zbl 1113.65113Belhachmi, Zakaria; Karageorghis, Andreas 1 2007 Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336Karageorghis, A.; Poullikkas, A.; Berger, J. R. 12 2006 Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis 11 2006 Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 11 2006 A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T. 5 2006 A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. 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 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 13 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. 112 2003 Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 11 2003 A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092Smyrlis, 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 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 16 2002 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 the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111Karageorghis, A. 43 2001 The method of fundamental solutions for layered elastic materials. Zbl 1008.74081Berger, J. R.; Karageorghis, A. 30 2001 The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions. Zbl 0985.78004Poullikkas, A.; Karageorghis, A.; Georgiou, G. 17 2001 Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110Belhachmi, Z.; Bernardi, C.; Karageorghis, A. 8 2001 The method of fundamental solutions for axisymmetric elasticity problems. Zbl 1011.74005Karageorghis, A.; Fairweather, G. 32 2000 A Legendre spectral Galerkin method for the biharmonic Dirichlet problem. Zbl 0986.65115Bialecki, Bernard; Karageorghis, Andreas 23 2000 A Legendre spectral collocation method for the biharmonic Dirichlet problem. Zbl 0984.65121Bialecki, Bernard; Karageorghis, Andreas 8 2000 The method of fundamental solutions for heat conduction in layered materials. Zbl 0972.80014Berger, J. R.; Karageorghis, Andreas 36 1999 The method of fundamental solutions for axisymmetric potential problems. Zbl 0932.74078Karageorghis, Andreas; Fairweather, Graeme 30 1999 Conditioning of pseudospectral matrices for certain domain decompositions. Zbl 0955.65089Karageorghis, Andreas; Paprzycki, Marcin 1 1999 The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074Fairweather, Graeme; Karageorghis, Andreas 420 1998 Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Zbl 0913.65104Poullikkas, A.; Karageorghis, A.; Georgiou, G. 46 1998 The method of fundamental solutions for inhomogeneous elliptic problems. Zbl 0913.65103Poullikkas, A.; Karageorghis, A.; Georgiou, G. 15 1998 The method of fundamental solutions for Signorini problems. Zbl 0901.73017Poullikkas, A.; Karageorghis, A.; Georgiou, G. 14 1998 The method of fundamental solutions for Stokes flows with a free surface. Zbl 0922.76262Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios; Ascough, John 5 1998 Conforming spectral approximations for non-conforming domain decompositions. Zbl 0943.65149Karageorghis, A.; Sivaloganathan, S. 2 1998 The Laplace equation with discontinuous boundary data: Convergence of the spectral element discretization. Zbl 0877.65073Bernardi, Christine; Karageorghis, Andréas 2 1997 ...and 36 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,144 Authors 90 Karageorghis, Andreas 45 Chen, Ching-Shyang 42 Chen, Wen 34 Lesnic, Daniel 29 Doha, Eid H. 28 Marin, Liviu 24 Li, Zi-Cai 22 Gu, Yan 19 Johansson, B. Tomas 18 Fu, Zhuojia 17 Fan, Chia-Ming 17 Smyrlis, Yiorgos-Sokratis 16 Alves, Carlos J. S. 16 Bialecki, Bernard 15 Fairweather, Graeme 14 Bhrawy, Ali Hassan 14 Lin, Ji 14 Tsai, Chia-Cheng 14 Young, Dennis L. 12 Cheng, Alexander H.-D. 12 Huang, Hung-Tsai 12 Li, Xiaolin 12 Qin, Qinghua 12 Šarler, Božidar 12 Sun, Linlin 12 Wei, Xing 11 Abd-Elhameed, Waleed Mohamed 11 Kolodziej, Jan Adam 11 Qu, Wenzhen 11 Wang, Fajie 11 Young, Der-Liang 11 Zhang, Chuanzeng 10 Liu, Chein-Shan 10 Potier-Ferry, Michel 9 Godinho, Luís M. C. 9 Wang, Hui 8 Chen, Wen 8 Dou, Fangfang 8 Hon, Yiu-Chung 8 Ling, Leevan 8 Phillips, Timothy N. 8 Tadeu, António J. B. 8 Valtchev, Svilen S. 7 Antunes, Pedro Ricardo Simão 7 Grabski, Jakub Krzysztof 7 Lee, Ming-Gong 7 Liu, Xiaoyan 7 Martins, Nuno F. M. 7 Ramachandran, Palghat A. 7 Reeve, Thomas 7 Sun, Yao 7 Wang, Fuzhang 7 Wei, Ting 6 Abou-Dina, Moustafa S. 6 Bin-Mohsin, Bandar 6 Boroomand, Bijan 6 Guo, Ben-Yu 6 Liu, Qingguo 6 Ma, Fuming 6 Siddiqi, Shahid Saeed 6 Siraj-ul-Islam 5 Ahmed, Hany M. 5 Akram, Ghazala 5 Balakrishnan, Karthik 5 Berger, J. R. 5 Chen, Jeng-Tzong 5 Chiang, John Y. 5 Du, Kui 5 El-Soubhy, S. I. 5 Fan, Cheng-Ming 5 Fan, Congmin 5 Georgiou, Georgios C. 5 Golberg, Michael A. 5 Li, Jichun 5 Paprzycki, Marcin 5 Rashed, Youssef F. 5 Tri, Abdeljalil 5 Yang, Fenglian 5 Yao, Guangming 5 Zahrouni, Hamid 5 Zhang, Liping 5 Zhang, Shougui 4 Ang, Whyeteong 4 António, Julieta M. P. 4 Chapko, Roman 4 Dehghan Takht Fooladi, Mehdi 4 Desmet, Wim 4 El-Gamel, Mohamed 4 Fan, Chen-Ming 4 Gáspár, Csaba 4 Hsu, Taiwen 4 Hu, Heng 4 Jankowska, Malgorzata A. 4 Jin, Bangti 4 Ku, Cheng-Yu 4 Lee, Ying-Te 4 Leitão, Vitor Manuel Azevedo 4 Li, Xinxiang 4 Mierzwiczak, Magdalena 4 Murugesan, K. ...and 1,044 more Authors all top 5 Cited in 130 Serials 287 Engineering Analysis with Boundary Elements 58 Computers & Mathematics with Applications 51 Applied Mathematics and Computation 41 Journal of Computational Physics 40 Journal of Computational and Applied Mathematics 32 Inverse Problems in Science and Engineering 26 Journal of Scientific Computing 25 Applied Mathematical Modelling 24 Numerical Algorithms 17 Computer Methods in Applied Mechanics and Engineering 16 Applied Numerical Mathematics 16 Applied Mathematics Letters 15 International Journal for Numerical Methods in Engineering 15 Computational Mechanics 14 Numerical Methods for Partial Differential Equations 14 International Journal of Computer Mathematics 13 Mathematical Problems in Engineering 9 Advances in Computational Mathematics 8 International Journal of Computational Methods 7 Mathematics and Computers in Simulation 6 Computers and Fluids 6 International Journal for Numerical Methods in Fluids 6 Mathematical and Computer Modelling 5 Communications in Numerical Methods in Engineering 5 Integral Transforms and Special Functions 4 Journal of Engineering Mathematics 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 Transactions of A. Razmadze Mathematical Institute 3 Applicable Analysis 3 International Journal of Heat and Mass Transfer 3 International Journal of Solids and Structures 3 Inverse Problems 3 Journal of Fluid Mechanics 3 Mathematics of Computation 3 Computing 3 SIAM Journal on Scientific Computing 3 Computational and Applied Mathematics 3 Abstract and Applied Analysis 3 European Journal of Mechanics. B. Fluids 3 International Journal for Numerical Methods in Biomedical Engineering 2 Acta Mechanica 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Wave Motion 2 Numerische Mathematik 2 Applied Mathematics and Mechanics. (English Edition) 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Archive of Applied Mechanics 2 Advances in Engineering Software 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 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Engineering Computations 2 The ANZIAM Journal 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Frontiers of Mathematics in China 2 Inverse Problems and Imaging 2 Mathematical Sciences 2 JSIAM Letters 2 Journal of Function Spaces 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 Journal of the Mechanics and Physics of Solids 1 Mathematische Semesterberichte 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Theoretical and Computational Fluid Dynamics 1 Collectanea Mathematica 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Meccanica 1 Mechanics Research Communications 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Computer Aided Geometric Design 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Mathematical Physics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Chinese Science Bulletin 1 Journal of Mathematical Imaging and Vision 1 Continuum Mechanics and Thermodynamics 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Doklady Mathematics 1 Journal of Shanghai University 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik ...and 30 more Serials all top 5 Cited in 37 Fields 754 Numerical analysis (65-XX) 337 Partial differential equations (35-XX) 190 Mechanics of deformable solids (74-XX) 151 Fluid mechanics (76-XX) 68 Classical thermodynamics, heat transfer (80-XX) 52 Ordinary differential equations (34-XX) 28 Optics, electromagnetic theory (78-XX) 20 Special functions (33-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Approximations and expansions (41-XX) 13 Potential theory (31-XX) 13 Integral equations (45-XX) 9 Geophysics (86-XX) 8 Functions of a complex variable (30-XX) 6 Operator theory (47-XX) 6 Biology and other natural sciences (92-XX) 5 Probability theory and stochastic processes (60-XX) 4 Integral transforms, operational calculus (44-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Statistics (62-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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