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Karageorghis, Andreas

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Author ID: karageorghis.andreas Recent zbMATH articles by "Karageorghis, Andreas"
Published as: Karageorghis, Andreas; Karageorghis, A.; Karageorghis, Andréas
Homepage: http://www.mas.ucy.ac.cy/english/teachers/karagheorgis_eng.htm
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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

Publications by Year

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 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
468
1998
The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649
Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A.
115
2003
A survey of applications of the MFS to inverse problems. Zbl 1220.65157
Karageorghis, A.; Lesnic, D.; Marin, L.
114
2011
The method of fundamental solutions for the numerical solution of the biharmonic equation. Zbl 0618.65108
Karageorghis, Andreas; Fairweather, Graeme
106
1987
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
91
2016
Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0635.73091
Davis, 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 0637.76008
Karageorghis, A.; Phillips, T. N.; Davies, A. R.
48
1988
Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Zbl 0913.65104
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
48
1998
The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111
Karageorghis, A.
47
2001
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 heat conduction in layered materials. Zbl 0972.80014
Berger, J. R.; Karageorghis, Andreas
42
1999
Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities. Zbl 0760.65103
Karageorghis, Andreas
35
1992
The method of fundamental solutions for layered elastic materials. Zbl 1008.74081
Berger, J. R.; Karageorghis, A.
34
2001
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 MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136
Li, Ming; Chen, C. S.; Karageorghis, A.
29
2013
Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
28
2011
A Legendre spectral Galerkin method for the biharmonic Dirichlet problem. Zbl 0986.65115
Bialecki, Bernard; Karageorghis, Andreas
25
2000
A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function. Zbl 0642.65011
Karageorghis, Andreas
25
1988
A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis
23
2007
The simple layer potential method of fundamental solutions for certain biharmonic problems. Zbl 0687.76028
Karageorghis, Andreas; Fairweather, Graeme
23
1989
The Almansi method of fundamental solutions for solving biharmonic problems. Zbl 0639.65066
Karageorghis, Andreas; Fairweather, Graeme
22
1988
The method of fundamental solutions for the solution of nonlinear plane potential problems. Zbl 0676.65110
Karageorghis, A.; Fairweather, G.
22
1989
Detection of cavities using the method of fundamental solutions. Zbl 1175.65130
Karageorghis, A.; Lesnic, D.
21
2009
Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S.
20
2018
On the coefficients of integrated expansions of ultraspherical polynomials. Zbl 0701.33007
Phillips, Timothy N.; Karageorghis, Andreas
20
1990
Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
19
2004
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
18
2009
The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139
Karageorghis, A.; Lesnic, D.
18
2010
Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. Zbl 1206.35067
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
18
2007
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
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.
17
2011
Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054
Karageorghis, A.; Lesnic, D.
17
2008
The method of fundamental solutions for inhomogeneous elliptic problems. Zbl 0913.65103
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
16
1998
A novel RBF collocation method using fictitious centres. Zbl 1464.65198
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
16
2020
Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135
Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon
15
2011
A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu
15
2013
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 the identification of a sound-soft obstacle in inverse acoustic scattering. Zbl 1255.65203
Karageorghis, A.; Johansson, B. T.; Lesnic, D.
14
2012
The method of fundamental solutions for Signorini problems. Zbl 0901.73017
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
14
1998
The method of fundamental solutions for the solution of steady-state free boundary problems. Zbl 0745.65075
Karageorghis, Andreas
13
1992
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
13
2016
Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035
Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
13
2006
Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
13
2009
Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336
Karageorghis, A.; Poullikkas, A.; Berger, J. R.
13
2006
Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. Zbl 1194.74086
Berger, J. R.; Karageorghis, Andreas; Martin, P. A.
12
2007
A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S.
12
2015
Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A.
12
2006
Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110
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
Chebyshev spectral collocation methods for laminar flow through a channel contraction. Zbl 0677.76025
Karageorghis, Andreas; Phillips, Timothy N.
11
1989
Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506
Karageorghis, Andreas; Kyza, Irene
10
2007
Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075
Karageorghis, A.
10
2011
Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110
Belhachmi, Z.; Bernardi, C.; Karageorghis, A.
9
2001
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
9
2003
Efficient direct methods for solving the spectral collocation equations for Stokes flow in rectangularly decomposable domains. Zbl 0665.76039
Phillips, Timothy N.; Karageorghis, Andreas
9
1989
Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Zbl 1075.65139
Bialecki, Bernard; Karageorghis, Andreas
9
2004
Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains. Zbl 0659.76037
Karageorghis, A.; Phillips, T. N.
9
1989
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
The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009
Marin, Liviu; Karageorghis, Andreas
9
2013
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093
Bialecki, Bernard; Karageorghis, Andreas
8
2008
A Legendre spectral collocation method for the biharmonic Dirichlet problem. Zbl 0984.65121
Bialecki, Bernard; Karageorghis, Andreas
8
2000
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135
Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
8
2005
A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
8
2003
A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains. Zbl 0751.65063
Karageorghis, Andreas
8
1991
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 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
7
2019
A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication. Zbl 0769.76052
Raad, Peter E.; Karageorghis, Andreas
7
1993
Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224
Tankelevich, R.; Fairweather, G.; Karageorghis, A.
7
2009
On the coefficients of differentiated expansions of ultraspherical polynomials. Zbl 0748.65063
Karageorghis, 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 0825.76607
Karageorghis, Andreas
7
1992
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
7
2010
The method of fundamental solutions for Stokes flows with a free surface. Zbl 0922.76262
Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios; Ascough, John
7
1998
Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
7
2005
Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044
Marin, Liviu; Karageorghis, Andreas
7
2009
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, M. A.; Karageorghis, A.; Chen, C. S.
7
2018
Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1464.65206
Jankowska, Malgorzata A.; Karageorghis, Andreas
7
2019
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 07318236
Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S.
6
2021
Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089
Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N.
6
2008
A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries. Zbl 0892.76064
Karageorghis, Andreas; Tang, Tao
6
1996
Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer. Zbl 0636.65083
Karageorghis, Andreas
6
1988
Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016
Karageorghis, A.; Marin, L.
6
2013
The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007
Karageorghis, A.; Lesnic, D.
6
2008
The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210
Karageorghis, Andreas
6
2015
Conforming Chebyshev spectral methods for Poisson problems in rectangular domains. Zbl 0784.65083
Karageorghis, Andreas
5
1993
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 MFS solution of Dirichlet boundary value problems. Zbl 1154.65092
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
5
2008
A fully conforming spectral collocation scheme for second- and fourth-order problems. Zbl 0945.65522
Karageorghis, Andreas
5
1995
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
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas
5
2007
The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains. Zbl 1141.80017
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
5
2006
A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A.
5
2006
Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains. Zbl 0802.65114
Karageorghis, A.
4
1994
Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems. Zbl 1464.65269
Grabski, Jakub Krzysztof; Karageorghis, Andreas
4
2019
Conforming spectral methods for Poisson problems in cuboidal domains. Zbl 0822.65091
Karageorghis, Andreas
4
1994
The method of fundamental solutions in three-dimensional elastostatics. Zbl 1067.74023
Poullikkas, 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 07427448
Karageorghis, Andreas
1
2022
Fictitious centre RBF method for high order BVPs in multiply connected domains. Zbl 07443214
Karageorghis, Andreas; Noorizadegan, Amir; Chen, C. S.
1
2022
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 07318236
Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S.
6
2021
Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. Zbl 1478.65135
Chen, C. S.; Karageorghis, Andreas; Amuzu, Lionel
2
2021
The method of fundamental solutions for Brinkman flows. I: Exterior domains. Zbl 1476.65329
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu
1
2021
A novel RBF collocation method using fictitious centres. Zbl 1464.65198
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
16
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.
4
2020
Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. Zbl 1475.65175
Karageorghis, Andreas; Lesnic, Daniel
2
2020
Improved RBF collocation methods for fourth order boundary value problems. Zbl 1473.65327
Chen, C. S.; Karageorghis, Andreas; Zheng, Hui
2
2020
Kansa radial basis function method with fictitious centres for solving nonlinear boundary value problems. Zbl 1464.65207
Katsiamis, Andreas; Karageorghis, Andreas
2
2020
A quadratic spline collocation method for the Dirichlet biharmonic problem. Zbl 1434.65290
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Maack, Jonathan
1
2020
A fictitious points one-step MPS-MFS technique. Zbl 07208711
Zhu, 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 1430.76390
Karageorghis, Andreas; Lesnic, Daniel
7
2019
Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1464.65206
Jankowska, Malgorzata A.; Karageorghis, Andreas
7
2019
Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems. Zbl 1464.65269
Grabski, Jakub Krzysztof; Karageorghis, Andreas
4
2019
Local RBF algorithms for elliptic boundary value problems in annular domains. Zbl 1473.65326
Chen, C. S.; Karageorghis, Andreas
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.
20
2018
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, 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 1403.76084
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.
3
2018
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. Zbl 1457.65230
Bialecki, Bernard; Karageorghis, Andreas
2
2018
The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu
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
3
2017
The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data. Zbl 1369.65135
Marin, L.; Karageorghis, A.; Lesnic, D.; Johansson, B. T.
2
2017
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
91
2016
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
13
2016
The plane waves method for axisymmetric Helmholtz problems. Zbl 1403.65161
Karageorghis, Andreas
3
2016
A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S.
12
2015
The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210
Karageorghis, Andreas
6
2015
A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity. Zbl 1308.74038
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel
4
2015
Simultaneous numerical determination of a corroded boundary and its admittance. Zbl 1326.65150
Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L.
2
2015
Finite difference schemes for the Cauchy-Navier equations of elasticity with variable coefficients. Zbl 1440.74462
Bialecki, Bernard; Karageorghis, Andreas
2
2015
Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems. Zbl 1308.65205
Karageorghis, A.; Lesnic, D.; Marin, L.
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.
29
2013
A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu
15
2013
The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009
Marin, Liviu; Karageorghis, Andreas
9
2013
Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016
Karageorghis, A.; Marin, L.
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.
14
2012
MFS-based solution to two-dimensional linear thermoelasticity problems. Zbl 1308.74037
Marin, Liviu; Karageorghis, A.
2
2012
A meshless numerical identification of a sound-hard obstacle. Zbl 1351.74090
Karageorghis, A.; Lesnic, D.
2
2012
A survey of applications of the MFS to inverse problems. Zbl 1220.65157
Karageorghis, A.; Lesnic, D.; Marin, L.
114
2011
Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
28
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.
17
2011
Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135
Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon
15
2011
Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075
Karageorghis, A.
10
2011
The MFS for the detection of inner boundaries in linear elasticity. Zbl 1275.74005
Karageorghis, A.; Lesnic, D.; Marin, L.
2
2011
Spectral element discretization of the Stokes equations in deformed axisymmetric geometries. Zbl 1262.65186
Belhachmi, Zakaria; Karageorghis, Andreas
1
2011
The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139
Karageorghis, A.; Lesnic, D.
18
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
7
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.
21
2009
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
18
2009
Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
13
2009
Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224
Tankelevich, R.; Fairweather, G.; Karageorghis, A.
7
2009
Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044
Marin, Liviu; Karageorghis, Andreas
7
2009
Efficient MFS algorithms in regular polygonal domains. Zbl 1162.65409
Karageorghis, Andreas
4
2009
Matrix decomposition algorithms related to the MFS for axisymmetric problems. Zbl 1161.74507
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
4
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.
17
2008
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093
Bialecki, Bernard; Karageorghis, Andreas
8
2008
Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089
Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N.
6
2008
The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007
Karageorghis, A.; Lesnic, D.
6
2008
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.
4
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
23
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.
12
2007
Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506
Karageorghis, Andreas; Kyza, Irene
10
2007
A nonoverlapping domain decomposition method for Legendre spectral collocation problems. Zbl 1134.65086
Bialecki, Bernard; Karageorghis, Andreas
5
2007
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas
5
2007
A spectral mortar element discretization of the Poisson equation with mixed boundary conditions. Zbl 1113.65113
Belhachmi, Zakaria; Karageorghis, Andreas
1
2007
Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035
Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
13
2006
Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336
Karageorghis, A.; Poullikkas, A.; Berger, J. R.
13
2006
Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A.
12
2006
A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060
Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T.
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
A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117
Tsangaris, 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 1102.76046
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.
115
2003
Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110
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
A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
8
2003
Spectral element discretization of the circular driven cavity. Part III: The Stokes equations in primitive variables. Zbl 1031.65135
Belhachmi, Z.; Bernardi, Christine; Karageorghis, Andreas
1
2003
The method of fundamental solutions in three-dimensional elastostatics. Zbl 1067.74023
Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios
4
2002
The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111
Karageorghis, A.
47
2001
Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
44
2001
...and 53 more Documents
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
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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
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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)
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2 Quantum theory (81-XX)
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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)

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