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Karageorghis, Andreas

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Author ID: karageorghis.andreas Recent zbMATH articles by "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: 157 Publications since 1985, including 1 Book
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Serials

19 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 Mathematics and Computers in Simulation
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 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

Publications by Year

Citations contained in zbMATH Open

141 Publications have been cited 2,158 times in 974 Documents Cited by Year
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
432
1998
The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649
Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A.
112
2003
The method of fundamental solutions for the numerical solution of the biharmonic equation. Zbl 0618.65108
Karageorghis, Andreas; Fairweather, Graeme
100
1987
A survey of applications of the MFS to inverse problems. Zbl 1220.65157
Karageorghis, A.; Lesnic, D.; Marin, L.
88
2011
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
72
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.
54
1988
Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Zbl 0913.65104
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
47
1998
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.
47
1988
Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
44
2001
The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111
Karageorghis, A.
44
2001
The method of fundamental solutions for heat conduction in layered materials. Zbl 0972.80014
Berger, J. R.; Karageorghis, Andreas
37
1999
Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities. Zbl 0760.65103
Karageorghis, Andreas
34
1992
The method of fundamental solutions for axisymmetric potential problems. Zbl 0932.74078
Karageorghis, Andreas; Fairweather, Graeme
33
1999
The method of fundamental solutions for axisymmetric elasticity problems. Zbl 1011.74005
Karageorghis, A.; Fairweather, G.
32
2000
The method of fundamental solutions for layered elastic materials. Zbl 1008.74081
Berger, J. R.; Karageorghis, A.
31
2001
Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
26
2011
A Legendre spectral Galerkin method for the biharmonic Dirichlet problem. Zbl 0986.65115
Bialecki, Bernard; Karageorghis, Andreas
23
2000
The method of fundamental solutions for the solution of nonlinear plane potential problems. Zbl 0676.65110
Karageorghis, A.; Fairweather, G.
22
1989
A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function. Zbl 0642.65011
Karageorghis, Andreas
22
1988
A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis
21
2007
The simple layer potential method of fundamental solutions for certain biharmonic problems. Zbl 0687.76028
Karageorghis, Andreas; Fairweather, Graeme
21
1989
The Almansi method of fundamental solutions for solving biharmonic problems. Zbl 0639.65066
Karageorghis, Andreas; Fairweather, Graeme
21
1988
Detection of cavities using the method of fundamental solutions. Zbl 1175.65130
Karageorghis, A.; Lesnic, D.
20
2009
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.
19
2013
Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
19
2004
Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. Zbl 1206.35067
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
18
2007
The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel
17
2011
The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions. Zbl 0985.78004
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
17
2001
Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054
Karageorghis, A.; Lesnic, D.
16
2008
The method of fundamental solutions in three-dimensional elastostatics. Zbl 1067.74023
Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios
16
2002
The method of fundamental solutions for inhomogeneous elliptic problems. Zbl 0913.65103
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
16
1998
On the coefficients of integrated expansions of ultraspherical polynomials. Zbl 0701.33007
Phillips, Timothy N.; Karageorghis, Andreas
16
1990
The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139
Karageorghis, A.; Lesnic, D.
15
2010
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
15
2009
Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046
Karageorghis, A.; Lesnic, D.
14
2011
A matrix decomposition MFS algorithm for axisymmetric potential problems. Zbl 1074.65134
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
14
2004
The method of fundamental solutions for Signorini problems. Zbl 0901.73017
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
14
1998
Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S.
13
2018
Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135
Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon
13
2011
Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
12
2009
Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336
Karageorghis, A.; Poullikkas, A.; Berger, J. R.
12
2006
A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu
11
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.
11
2012
Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. Zbl 1194.74086
Berger, J. R.; Karageorghis, Andreas; Martin, P. A.
11
2007
Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035
Tankelevich, 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 1097.65118
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A.
11
2006
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
11
2003
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
Numerical solution of a shallow dam problem by a boundary element method. Zbl 0597.76096
Karageorghis, A.
11
1987
The method of fundamental solutions for the solution of steady-state free boundary problems. Zbl 0745.65075
Karageorghis, Andreas
10
1992
Chebyshev spectral collocation methods for laminar flow through a channel contraction. Zbl 0677.76025
Karageorghis, Andreas; Phillips, Timothy N.
10
1989
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
9
2016
A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S.
9
2015
Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075
Karageorghis, A.
9
2011
Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Zbl 1075.65139
Bialecki, Bernard; Karageorghis, Andreas
9
2004
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
9
2003
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
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 collocation methods for Stokes flow in contraction geometries and unbounded domains. Zbl 0659.76037
Karageorghis, A.; Phillips, T. N.
9
1989
Efficient Kansa-type MFS algorithm for elliptic problems. Zbl 1190.65184
Karageorghis, Andreas
8
2010
The under-determined version of the MFS: taking more sources than collocation points. Zbl 1196.65187
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
8
2010
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093
Bialecki, Bernard; Karageorghis, Andreas
8
2008
Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506
Karageorghis, Andreas; Kyza, Irene
8
2007
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135
Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
8
2005
A Legendre spectral collocation method for the biharmonic Dirichlet problem. Zbl 0984.65121
Bialecki, Bernard; Karageorghis, Andreas
8
2000
The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009
Marin, Liviu; Karageorghis, Andreas
7
2013
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
On the coefficients of differentiated expansions of ultraspherical polynomials. Zbl 0748.65063
Karageorghis, Andreas; Phillips, Timothy N.
7
1992
A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains. Zbl 0751.65063
Karageorghis, Andreas
7
1991
A novel RBF collocation method using fictitious centres. Zbl 07134545
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
6
2020
Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016
Karageorghis, A.; Marin, L.
6
2013
Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044
Marin, Liviu; Karageorghis, Andreas
6
2009
A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries. Zbl 0892.76064
Karageorghis, Andreas; Tang, Tao
6
1996
A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication. Zbl 0769.76052
Raad, Peter E.; Karageorghis, Andreas
6
1993
Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer. Zbl 0636.65083
Karageorghis, Andreas
6
1988
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, M. A.; Karageorghis, A.; Chen, C. S.
5
2018
The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu
5
2017
The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210
Karageorghis, Andreas
5
2015
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
5
2010
The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007
Karageorghis, A.; Lesnic, D.
5
2008
Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089
Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N.
5
2008
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Zbl 1154.65092
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
5
2008
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 nonoverlapping domain decomposition method for Legendre spectral collocation problems. Zbl 1134.65086
Bialecki, Bernard; Karageorghis, Andreas
5
2007
A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060
Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T.
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
The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains. Zbl 1141.80017
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
5
2006
The method of fundamental solutions for Stokes flows with a free surface. Zbl 0922.76262
Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios; Ascough, John
5
1998
A fully conforming spectral collocation scheme for second- and fourth-order problems. Zbl 0945.65522
Karageorghis, Andreas
5
1995
Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 07110302
Jankowska, Malgorzata A.; Karageorghis, Andreas
4
2019
Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems. Zbl 1308.65205
Karageorghis, A.; Lesnic, D.; Marin, L.
4
2014
Spectral Chebyshev collocation for the Poisson and biharmonic equations. Zbl 1217.65213
Bialecki, Bernard; Karageorghis, Andreas
4
2010
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
Conforming spectral methods for Poisson problems in cuboidal domains. Zbl 0822.65091
Karageorghis, Andreas
4
1994
Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains. Zbl 0802.65114
Karageorghis, A.
4
1994
Conforming Chebyshev spectral methods for Poisson problems in rectangular domains. Zbl 0784.65083
Karageorghis, Andreas
4
1993
A novel RBF collocation method using fictitious centres. Zbl 07134545
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
6
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.
3
2020
Kansa radial basis function method with fictitious centres for solving nonlinear boundary value problems. Zbl 07268604
Katsiamis, Andreas; Karageorghis, Andreas
1
2020
Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 07110302
Jankowska, Malgorzata A.; Karageorghis, Andreas
4
2019
Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems. Zbl 07063059
Grabski, 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 1430.76390
Karageorghis, Andreas; Lesnic, Daniel
1
2019
Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S.
13
2018
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, 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 1403.76084
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu
3
2018
Kansa-RBF algorithms for elliptic problems in regular polygonal domains. Zbl 1405.65157
Karageorghis, Andreas; Jankowska, Malgorzata A.; Chen, C. S.
2
2018
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. Zbl 1457.65230
Bialecki, Bernard; Karageorghis, Andreas
1
2018
The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu
5
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
2
2017
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
72
2016
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
9
2016
The plane waves method for axisymmetric Helmholtz problems. Zbl 1403.65161
Karageorghis, Andreas
2
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.
9
2015
The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210
Karageorghis, Andreas
5
2015
A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity. Zbl 1308.74038
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel
3
2015
Simultaneous numerical determination of a corroded boundary and its admittance. Zbl 1326.65150
Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L.
1
2015
Finite difference schemes for the Cauchy-Navier equations of elasticity with variable coefficients. Zbl 1440.74462
Bialecki, Bernard; Karageorghis, Andreas
1
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.
4
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.
19
2013
A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu
11
2013
The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009
Marin, Liviu; Karageorghis, Andreas
7
2013
Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016
Karageorghis, A.; Marin, L.
6
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.
11
2012
A meshless numerical identification of a sound-hard obstacle. Zbl 1351.74090
Karageorghis, A.; Lesnic, D.
2
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.
88
2011
Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
26
2011
The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel
17
2011
Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046
Karageorghis, A.; Lesnic, D.
14
2011
Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135
Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon
13
2011
Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075
Karageorghis, A.
9
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.
15
2010
Efficient Kansa-type MFS algorithm for elliptic problems. Zbl 1190.65184
Karageorghis, Andreas
8
2010
The under-determined version of the MFS: taking more sources than collocation points. Zbl 1196.65187
Smyrlis, 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 1262.65188
Karageorghis, A.; Lesnic, Daniel
5
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.
20
2009
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
15
2009
Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
12
2009
Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044
Marin, Liviu; Karageorghis, Andreas
6
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
Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224
Tankelevich, R.; Fairweather, G.; Karageorghis, A.
3
2009
Special issue on the method of fundamental solutions in honour of Professor Michael Golberg. Zbl 1244.01021
Brebbia, Carlos A.; Karageorghis, Andreas
2
2009
Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054
Karageorghis, A.; Lesnic, D.
16
2008
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093
Bialecki, Bernard; Karageorghis, Andreas
8
2008
The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007
Karageorghis, A.; Lesnic, D.
5
2008
Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089
Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N.
5
2008
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Zbl 1154.65092
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
5
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.
3
2008
Optimal superconvergent one step quadratic spline collocation methods for Helmholtz problems. Zbl 1157.65470
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Nguyen, Que N.
3
2008
A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis
21
2007
Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. Zbl 1206.35067
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
18
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.
11
2007
Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506
Karageorghis, Andreas; Kyza, Irene
8
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 nonoverlapping domain decomposition method for Legendre spectral collocation problems. Zbl 1134.65086
Bialecki, Bernard; 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
Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336
Karageorghis, A.; Poullikkas, A.; Berger, J. R.
12
2006
Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035
Tankelevich, 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 1097.65118
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A.
11
2006
A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060
Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T.
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
The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains. Zbl 1141.80017
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
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
19
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
9
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.
112
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
11
2003
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
9
2003
Spectral element discretization of the circular driven cavity. Part III: The Stokes equations in primitive variables. Zbl 1031.65135
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
16
2002
Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
44
2001
The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111
Karageorghis, A.
44
2001
The method of fundamental solutions for layered elastic materials. Zbl 1008.74081
Berger, J. R.; Karageorghis, A.
31
2001
The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions. Zbl 0985.78004
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
17
2001
Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110
Belhachmi, Z.; Bernardi, C.; Karageorghis, A.
9
2001
The method of fundamental solutions for axisymmetric elasticity problems. Zbl 1011.74005
Karageorghis, A.; Fairweather, G.
32
2000
A Legendre spectral Galerkin method for the biharmonic Dirichlet problem. Zbl 0986.65115
Bialecki, Bernard; Karageorghis, Andreas
23
2000
A Legendre spectral collocation method for the biharmonic Dirichlet problem. Zbl 0984.65121
Bialecki, Bernard; Karageorghis, Andreas
8
2000
The method of fundamental solutions for heat conduction in layered materials. Zbl 0972.80014
Berger, J. R.; Karageorghis, Andreas
37
1999
The method of fundamental solutions for axisymmetric potential problems. Zbl 0932.74078
Karageorghis, Andreas; Fairweather, Graeme
33
1999
Conditioning of pseudospectral matrices for certain domain decompositions. Zbl 0955.65089
Karageorghis, Andreas; Paprzycki, Marcin
1
1999
Spectral element discretization of the circular driven cavity. I: The Laplace equation. Zbl 0932.65118
Bernardi, C.; Karageorghis, A.
1
1999
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
432
1998
Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Zbl 0913.65104
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
47
1998
...and 41 more Documents
all top 5

Cited by 1,189 Authors

92 Karageorghis, Andreas
49 Chen, Ching-Shyang
45 Chen, Wen
34 Lesnic, Daniel
29 Doha, Eid H.
28 Marin, Liviu
24 Li, Zi-Cai
23 Gu, Yan
20 Fu, Zhuojia
19 Fan, Chia-Ming
19 Johansson, B. Tomas
17 Alves, Carlos J. S.
17 Smyrlis, Yiorgos-Sokratis
16 Bialecki, Bernard
15 Fairweather, Graeme
15 Lin, Ji
15 Qin, Qinghua
14 Bhrawy, Ali Hassan
14 Šarler, Božidar
14 Tsai, Chia-Cheng
14 Young, Dennis L.
13 Sun, Linlin
12 Cheng, Alexander H.-D.
12 Huang, Hung-Tsai
12 Li, Xiaolin
12 Liu, Chein-Shan
12 Qu, Wenzhen
12 Wang, Fajie
12 Wei, Xing
11 Abd-Elhameed, Waleed Mohamed
11 Kolodziej, Jan Adam
11 Young, Der-Liang
11 Zhang, Chuanzeng
10 Potier-Ferry, Michel
9 Dou, Fangfang
9 Godinho, Luís M. C.
9 Valtchev, Svilen S.
9 Wang, Hui
8 Grabski, Jakub Krzysztof
8 Hon, Yiu-Chung
8 Ling, Leevan
8 Liu, Xiaoyan
8 Martins, Nuno F. M.
8 Phillips, Timothy N.
8 Tadeu, António J. B.
7 Antunes, Pedro Ricardo Simão
7 Lee, Ming-Gong
7 Li, Jichun
7 Liu, Qingguo
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 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 Chen, Wen
5 Chiang, John Y.
5 Dehghan Takht Fooladi, Mehdi
5 Du, Kui
5 El-Soubhy, S. I.
5 Fan, Cheng-Ming
5 Fan, Congmin
5 Georgiou, Georgios C.
5 Golberg, Michael A.
5 Ku, Cheng-Yu
5 Napoli, Anna
5 Paprzycki, Marcin
5 Rashed, Youssef F.
5 Tri, Abdeljalil
5 Yan, Liang
5 Yang, Fenglian
5 Yao, Guangming
5 Yeih, Weichung
5 Zahrouni, Hamid
5 Zhang, Liping
5 Zhang, Shougui
4 Abbasbandy, Saeid
4 Ang, Whyeteong
4 António, Julieta M. P.
4 Chapko, Roman
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 Lee, Ying-Te
...and 1,089 more Authors
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Cited in 135 Serials

293 Engineering Analysis with Boundary Elements
68 Computers & Mathematics with Applications
52 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 Numerical Algorithms
25 Applied Mathematical Modelling
19 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 Mathematics and Computers in Simulation
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
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
3 International Journal of Applied and Computational Mathematics
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 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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 SIAM Journal on Numerical Analysis
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
...and 35 more Serials
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Cited in 37 Fields

785 Numerical analysis (65-XX)
349 Partial differential equations (35-XX)
197 Mechanics of deformable solids (74-XX)
155 Fluid mechanics (76-XX)
69 Classical thermodynamics, heat transfer (80-XX)
58 Ordinary differential equations (34-XX)
29 Optics, electromagnetic theory (78-XX)
20 Special functions (33-XX)
17 Approximations and expansions (41-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
14 Potential theory (31-XX)
14 Integral equations (45-XX)
9 Probability theory and stochastic processes (60-XX)
9 Geophysics (86-XX)
8 Functions of a complex variable (30-XX)
7 Biology and other natural sciences (92-XX)
6 Operator theory (47-XX)
4 Integral transforms, operational calculus (44-XX)
4 Calculus of variations and optimal control; optimization (49-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 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Number theory (11-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 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)

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