×

Karageorghis, Andreas

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
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND
all top 5

Serials

20 Engineering Analysis with Boundary Elements
16 Numerical Algorithms
15 Journal of Scientific Computing
9 Journal of Computational and Applied Mathematics
7 Journal of Computational Physics
7 International Journal for Numerical Methods in Engineering
7 Inverse Problems in Science and Engineering
6 Computer Methods in Applied Mechanics and Engineering
6 Numerical Methods for Partial Differential Equations
6 SIAM Journal on Scientific Computing
5 Computers & Mathematics with Applications
5 Applied Numerical Mathematics
4 Applied Mathematics and Computation
4 Computational Mechanics
4 Communications in Computational Physics
4 Advances in Applied Mathematics and Mechanics
3 IMA Journal of Numerical Analysis
3 Mathematics and Computers in Simulation
3 SIAM Journal on Numerical Analysis
3 Applied Mathematics Letters
2 International Journal for Numerical Methods in Fluids
2 Journal of Engineering Mathematics
2 Advances in Computational Mathematics
2 Journal of Mathematical Fluid Mechanics
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 CMC. Computers, Materials, and Continua
1 Computers and Fluids
1 BIT
1 Computing
1 Numerische Mathematik
1 SIAM Journal on Scientific and Statistical Computing
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Seminar of I. Vekua Institute of Applied Mathematics. Reports
1 CMES. Computer Modeling in Engineering & Sciences
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 SEMA SIMAI Springer Series

Publications by Year

Citations contained in zbMATH Open

156 Publications have been cited 2,592 times in 1,201 Documents Cited by Year
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
496
1998
A survey of applications of the MFS to inverse problems. Zbl 1220.65157
Karageorghis, A.; Lesnic, D.; Marin, L.
128
2011
The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649
Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A.
128
2003
The method of fundamental solutions for the numerical solution of the biharmonic equation. Zbl 0618.65108
Karageorghis, Andreas; Fairweather, Graeme
107
1987
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
98
2016
Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0635.73091
Davis, A. R.; Karageorghis, A.; Phillips, T. N.
63
1988
Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0637.76008
Karageorghis, A.; Phillips, T. N.; Davies, A. R.
51
1988
Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Zbl 0913.65104
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
50
1998
The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Zbl 0984.65111
Karageorghis, A.
48
2001
Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
45
2001
The method of fundamental solutions for heat conduction in layered materials. Zbl 0972.80014
Berger, J. R.; Karageorghis, Andreas
44
1999
The method of fundamental solutions for layered elastic materials. Zbl 1008.74081
Berger, J. R.; Karageorghis, A.
37
2001
Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities. Zbl 0760.65103
Karageorghis, Andreas
35
1992
The method of fundamental solutions for axisymmetric potential problems. Zbl 0932.74078
Karageorghis, Andreas; Fairweather, Graeme
34
1999
The method of fundamental solutions for axisymmetric elasticity problems. Zbl 1011.74005
Karageorghis, A.; Fairweather, G.
32
2000
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136
Li, Ming; Chen, C. S.; Karageorghis, A.
32
2013
Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
31
2011
A Legendre spectral Galerkin method for the biharmonic Dirichlet problem. Zbl 0986.65115
Bialecki, Bernard; Karageorghis, Andreas
29
2000
A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function. Zbl 0642.65011
Karageorghis, Andreas
27
1988
Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S.
26
2018
A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis
24
2007
The simple layer potential method of fundamental solutions for certain biharmonic problems. Zbl 0687.76028
Karageorghis, Andreas; Fairweather, Graeme
23
1989
The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. Zbl 1255.65203
Karageorghis, A.; Johansson, B. T.; Lesnic, D.
23
2012
The Almansi method of fundamental solutions for solving biharmonic problems. Zbl 0639.65066
Karageorghis, Andreas; Fairweather, Graeme
22
1988
The method of fundamental solutions for the solution of nonlinear plane potential problems. Zbl 0676.65110
Karageorghis, A.; Fairweather, G.
22
1989
Detection of cavities using the method of fundamental solutions. Zbl 1175.65130
Karageorghis, A.; Lesnic, D.
22
2009
On the coefficients of integrated expansions of ultraspherical polynomials. Zbl 0701.33007
Phillips, Timothy N.; Karageorghis, Andreas
22
1990
A novel RBF collocation method using fictitious centres. Zbl 1464.65198
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
22
2020
Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. Zbl 1206.35067
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
20
2007
Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
20
2004
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
19
2009
The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139
Karageorghis, A.; Lesnic, D.
19
2010
Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046
Karageorghis, A.; Lesnic, D.
19
2011
The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions. Zbl 0985.78004
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
18
2001
Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054
Karageorghis, A.; Lesnic, D.
18
2008
The method of fundamental solutions for inhomogeneous elliptic problems. Zbl 0913.65103
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
17
1998
A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu
17
2013
The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel
17
2011
Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135
Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon
16
2011
The method of fundamental solutions for Signorini problems. Zbl 0901.73017
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
15
1998
Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035
Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
15
2006
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
15
2016
Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336
Karageorghis, A.; Poullikkas, A.; Berger, J. R.
14
2006
A matrix decomposition MFS algorithm for axisymmetric potential problems. Zbl 1074.65134
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
14
2004
A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S.
14
2015
Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
13
2009
The method of fundamental solutions for the solution of steady-state free boundary problems. Zbl 0745.65075
Karageorghis, Andreas
13
1992
Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A.
12
2006
Numerical solution of a shallow dam problem by a boundary element method. Zbl 0597.76096
Karageorghis, A.
12
1987
Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. Zbl 1194.74086
Berger, J. R.; Karageorghis, Andreas; Martin, P. A.
12
2007
A note on the Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function. Zbl 0639.65012
Karageorghis, Andreas
11
1988
Chebyshev spectral collocation methods for laminar flow through a channel contraction. Zbl 0677.76025
Karageorghis, Andreas; Phillips, Timothy N.
11
1989
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
11
2003
Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
11
2003
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 1524.65892
Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S.
11
2021
Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains. Zbl 0659.76037
Karageorghis, A.; Phillips, T. N.
10
1989
Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Zbl 1075.65139
Bialecki, Bernard; Karageorghis, Andreas
10
2004
Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506
Karageorghis, Andreas; Kyza, Irene
10
2007
Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075
Karageorghis, A.
10
2011
Efficient direct methods for solving the spectral collocation equations for Stokes flow in rectangularly decomposable domains. Zbl 0665.76039
Phillips, Timothy N.; Karageorghis, Andreas
9
1989
Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110
Belhachmi, Z.; Bernardi, C.; Karageorghis, A.
9
2001
Conforming Chebyshev spectral collocation methods for the solution of laminar flow in a constricted channel. Zbl 0709.76039
Karageorghis, Andreas; Phillips, Timothy N.
9
1991
A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains. Zbl 0751.65063
Karageorghis, Andreas
9
1991
On the coefficients of differentiated expansions of ultraspherical polynomials. Zbl 0748.65063
Karageorghis, Andreas; Phillips, Timothy N.
9
1992
Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224
Tankelevich, R.; Fairweather, G.; Karageorghis, A.
9
2009
The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009
Marin, Liviu; Karageorghis, Andreas
9
2013
The under-determined version of the MFS: taking more sources than collocation points. Zbl 1196.65187
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
8
2010
Efficient Kansa-type MFS algorithm for elliptic problems. Zbl 1190.65184
Karageorghis, Andreas
8
2010
A Legendre spectral collocation method for the biharmonic Dirichlet problem. Zbl 0984.65121
Bialecki, Bernard; Karageorghis, Andreas
8
2000
A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
8
2003
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135
Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
8
2005
The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210
Karageorghis, Andreas
8
2015
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093
Bialecki, Bernard; Karageorghis, Andreas
8
2008
The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu
8
2017
The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188
Karageorghis, A.; Lesnic, Daniel
8
2010
The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. Zbl 1430.76390
Karageorghis, Andreas; Lesnic, Daniel
8
2019
Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1464.65206
Jankowska, Malgorzata A.; Karageorghis, Andreas
8
2019
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, M. A.; Karageorghis, A.; Chen, C. S.
8
2018
Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044
Marin, Liviu; Karageorghis, Andreas
7
2009
The method of fundamental solutions for Stokes flows with a free surface. Zbl 0922.76262
Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios; Ascough, John
7
1998
Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
7
2005
The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method. Zbl 0825.76607
Karageorghis, Andreas
7
1992
A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication. Zbl 0769.76052
Raad, Peter E.; Karageorghis, Andreas
7
1993
Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016
Karageorghis, A.; Marin, L.
7
2013
The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering. Zbl 1403.76084
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu
7
2018
Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer. Zbl 0636.65083
Karageorghis, Andreas
6
1988
Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089
Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N.
6
2008
A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries. Zbl 0892.76064
Karageorghis, Andreas; Tang, Tao
6
1996
A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity. Zbl 1308.74038
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel
6
2015
The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007
Karageorghis, A.; Lesnic, D.
6
2008
The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188
Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S.
6
2020
A nonoverlapping domain decomposition method for Legendre spectral collocation problems. Zbl 1134.65086
Bialecki, Bernard; Karageorghis, Andreas
5
2007
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas
5
2007
A fully conforming spectral collocation scheme for second- and fourth-order problems. Zbl 0945.65522
Karageorghis, Andreas
5
1995
On solving the Dirichlet generalized problem for harmonic function by the method of fundamental solutions. Zbl 1222.65132
Zakradze, M.; Koblishvili, N.; Karageorghis, A.; Smyrlis, Y.
5
2008
The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains. Zbl 1141.80017
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
5
2006
A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A.
5
2006
A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060
Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T.
5
2006
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Zbl 1154.65092
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
5
2008
Optimal superconvergent one step quadratic spline collocation methods for Helmholtz problems. Zbl 1157.65470
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Nguyen, Que N.
5
2008
A time-efficient variable shape parameter Kansa-radial basis function method for the solution of nonlinear boundary value problems. Zbl 1510.65303
Karageorghis, Andreas
2
2022
Fictitious centre RBF method for high order BVPs in multiply connected domains. Zbl 1524.65891
Karageorghis, Andreas; Noorizadegan, Amir; Chen, C. S.
2
2022
RBF-DQ algorithms for elliptic problems in axisymmetric domains. Zbl 1481.65236
Chen, C. S.; Jankowska, Malgorzata A.; Karageorghis, Andreas
1
2022
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 1524.65892
Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S.
11
2021
Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. Zbl 1478.65135
Chen, C. S.; Karageorghis, Andreas; Amuzu, Lionel
3
2021
The method of fundamental solutions for Brinkman flows. I: Exterior domains. Zbl 1476.65329
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu
1
2021
Singular matrices arising in the MFS from certain boundary and pseudo-boundary symmetries. Zbl 1464.65271
Karageorghis, Andreas
1
2021
A novel RBF collocation method using fictitious centres. Zbl 1464.65198
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
22
2020
The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188
Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S.
6
2020
Improved RBF collocation methods for fourth order boundary value problems. Zbl 1473.65327
Chen, C. S.; Karageorghis, Andreas; Zheng, Hui
5
2020
A quadratic spline collocation method for the Dirichlet biharmonic problem. Zbl 1434.65290
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Maack, Jonathan
3
2020
Advances in Trefftz methods and their applications. Selected papers based on the presentations at the 9th conference on Trefftz methods and 5th conference on method of fundamental solutions, Lisbon, Portugal, July 29–31, 2019. Zbl 1445.65001
3
2020
Kansa radial basis function method with fictitious centres for solving nonlinear boundary value problems. Zbl 1464.65207
Katsiamis, Andreas; Karageorghis, Andreas
3
2020
Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. Zbl 1475.65175
Karageorghis, Andreas; Lesnic, Daniel
2
2020
A fictitious points one-step MPS-MFS technique. Zbl 1508.65174
Zhu, Xiaomin; Dou, Fangfang; Karageorghis, Andreas; Chen, C. S.
1
2020
The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. Zbl 1430.76390
Karageorghis, Andreas; Lesnic, Daniel
8
2019
Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1464.65206
Jankowska, Malgorzata A.; Karageorghis, Andreas
8
2019
Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems. Zbl 1464.65269
Grabski, Jakub Krzysztof; Karageorghis, Andreas
5
2019
Local RBF algorithms for elliptic boundary value problems in annular domains. Zbl 1473.65326
Chen, C. S.; Karageorghis, Andreas
4
2019
Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S.
26
2018
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, M. A.; Karageorghis, A.; Chen, C. S.
8
2018
The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering. Zbl 1403.76084
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu
7
2018
Kansa-RBF algorithms for elliptic problems in regular polygonal domains. Zbl 1405.65157
Karageorghis, Andreas; Jankowska, Malgorzata A.; Chen, C. S.
3
2018
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. Zbl 1457.65230
Bialecki, Bernard; Karageorghis, Andreas
2
2018
The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu
8
2017
Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method. Zbl 1370.65070
Liu, Xiao-Yan; Chen, C. S.; Karageorghis, Andreas
3
2017
The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data. Zbl 1369.65135
Marin, L.; Karageorghis, A.; Lesnic, D.; Johansson, B. T.
3
2017
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
98
2016
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
15
2016
The plane waves method for axisymmetric Helmholtz problems. Zbl 1403.65161
Karageorghis, Andreas
3
2016
A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S.
14
2015
The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Zbl 1308.65210
Karageorghis, Andreas
8
2015
A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity. Zbl 1308.74038
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel
6
2015
Finite difference schemes for the Cauchy-Navier equations of elasticity with variable coefficients. Zbl 1440.74462
Bialecki, Bernard; Karageorghis, Andreas
2
2015
Simultaneous numerical determination of a corroded boundary and its admittance. Zbl 1326.65150
Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L.
2
2015
Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems. Zbl 1308.65205
Karageorghis, A.; Lesnic, D.; Marin, L.
5
2014
A Kansa-RBF method for Poisson problems in annular domains. Zbl 1325.65160
Karageorghis, A.; Chen, C. S.
1
2014
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136
Li, Ming; Chen, C. S.; Karageorghis, A.
32
2013
A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu
17
2013
The MFS-MPS for two-dimensional steady-state thermoelasticity problems. Zbl 1287.74009
Marin, Liviu; Karageorghis, Andreas
9
2013
Efficient MFS algorithms for problems in thermoelasticity. Zbl 1266.74016
Karageorghis, A.; Marin, L.
7
2013
Galerkin formulations of the method of fundamental solutions. Zbl 1279.65131
Berger, J. R.; Karageorghis, Andreas
1
2013
The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. Zbl 1255.65203
Karageorghis, A.; Johansson, B. T.; Lesnic, D.
23
2012
A meshless numerical identification of a sound-hard obstacle. Zbl 1351.74090
Karageorghis, A.; Lesnic, D.
3
2012
MFS-based solution to two-dimensional linear thermoelasticity problems. Zbl 1308.74037
Marin, Liviu; Karageorghis, A.
2
2012
A survey of applications of the MFS to inverse problems. Zbl 1220.65157
Karageorghis, A.; Lesnic, D.; Marin, L.
128
2011
Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
31
2011
Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046
Karageorghis, A.; Lesnic, D.
19
2011
The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel
17
2011
Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135
Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon
16
2011
Efficient MFS algorithms for inhomogeneous polyharmonic problems. Zbl 1270.65075
Karageorghis, A.
10
2011
The MFS for the detection of inner boundaries in linear elasticity. Zbl 1275.74005
Karageorghis, A.; Lesnic, D.; Marin, L.
2
2011
Spectral element discretization of the Stokes equations in deformed axisymmetric geometries. Zbl 1262.65186
Belhachmi, Zakaria; Karageorghis, Andreas
1
2011
The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139
Karageorghis, A.; Lesnic, D.
19
2010
The under-determined version of the MFS: taking more sources than collocation points. Zbl 1196.65187
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
8
2010
Efficient Kansa-type MFS algorithm for elliptic problems. Zbl 1190.65184
Karageorghis, Andreas
8
2010
The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188
Karageorghis, A.; Lesnic, Daniel
8
2010
Spectral Chebyshev collocation for the Poisson and biharmonic equations. Zbl 1217.65213
Bialecki, Bernard; Karageorghis, Andreas
4
2010
Detection of cavities using the method of fundamental solutions. Zbl 1175.65130
Karageorghis, A.; Lesnic, D.
22
2009
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
19
2009
Efficient implementation of the MFS: The three scenarios. Zbl 1162.65057
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
13
2009
Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224
Tankelevich, R.; Fairweather, G.; Karageorghis, A.
9
2009
Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. Zbl 1231.78044
Marin, Liviu; Karageorghis, Andreas
7
2009
Matrix decomposition algorithms related to the MFS for axisymmetric problems. Zbl 1161.74507
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
4
2009
Efficient MFS algorithms in regular polygonal domains. Zbl 1162.65409
Karageorghis, Andreas
4
2009
Special issue on the method of fundamental solutions in honour of Professor Michael Golberg. Zbl 1244.01021
Brebbia, Carlos A.; Karageorghis, Andreas
3
2009
Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054
Karageorghis, A.; Lesnic, D.
18
2008
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. Zbl 1151.65093
Bialecki, Bernard; Karageorghis, Andreas
8
2008
Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089
Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N.
6
2008
The method of fundamental solutions for steady-state heat conduction in nonlinear materials. Zbl 1364.80007
Karageorghis, A.; Lesnic, D.
6
2008
On solving the Dirichlet generalized problem for harmonic function by the method of fundamental solutions. Zbl 1222.65132
Zakradze, M.; Koblishvili, N.; Karageorghis, A.; Smyrlis, Y.
5
2008
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Zbl 1154.65092
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
5
2008
Optimal superconvergent one step quadratic spline collocation methods for Helmholtz problems. Zbl 1157.65470
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Nguyen, Que N.
5
2008
A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis
24
2007
Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. Zbl 1206.35067
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
20
2007
Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. Zbl 1194.74086
Berger, J. R.; Karageorghis, Andreas; Martin, P. A.
12
2007
Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. Zbl 1164.65506
Karageorghis, Andreas; Kyza, Irene
10
2007
A nonoverlapping domain decomposition method for Legendre spectral collocation problems. Zbl 1134.65086
Bialecki, Bernard; Karageorghis, Andreas
5
2007
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas
5
2007
A spectral mortar element discretization of the Poisson equation with mixed boundary conditions. Zbl 1113.65113
Belhachmi, Zakaria; Karageorghis, Andreas
1
2007
Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035
Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
15
2006
Stress intensity factor computation using the method of fundamental solutions. Zbl 1138.74336
Karageorghis, A.; Poullikkas, A.; Berger, J. R.
14
2006
Numerical analysis of the method of fundamental solution for harmonic problems in annular domains. Zbl 1097.65118
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A.
12
2006
The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains. Zbl 1141.80017
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
5
2006
A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. Zbl 1098.65117
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A.
5
2006
A matrix decomposition MFS algorithm for certain linear elasticity problems. Zbl 1104.74060
Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T.
5
2006
Identification and reconstruction of a small leak zone in a pipe by a spectral element method. Zbl 1102.76046
Belhachmi, Z.; Karageorghis, A.; Taous, K.
1
2006
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135
Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
8
2005
Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
7
2005
Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
20
2004
A matrix decomposition MFS algorithm for axisymmetric potential problems. Zbl 1074.65134
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
14
2004
Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Zbl 1075.65139
Bialecki, Bernard; Karageorghis, Andreas
10
2004
Spectral element discretization of the circular driven cavity. IV: the Navier-Stokes equations. Zbl 1084.65121
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas
3
2004
A matrix decomposition MES algorithm for biharmonic problems in annular domains. Zbl 1231.65249
Tsangaris, T.; Smyrlis, Y.-S.; Karageorghis, A.
1
2004
The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649
Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A.
128
2003
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
11
2003
Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
11
2003
A linear least-squares MFS for certain elliptic problems. Zbl 1057.65092
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
8
2003
Spectral element discretization of the circular driven cavity. Part III: The Stokes equations in primitive variables. Zbl 1031.65135
Belhachmi, Z.; Bernardi, Christine; Karageorghis, Andreas
1
2003
The method of fundamental solutions in three-dimensional elastostatics. Zbl 1067.74023
Poullikkas, Andreas; Karageorghis, Andreas; Georgiou, Georgios
4
2002
...and 56 more Documents
all top 5

Cited by 1,336 Authors

104 Karageorghis, Andreas
60 Chen, Ching-Shyang
55 Chen, Wen
43 Lesnic, Daniel
36 Marin, Liviu
35 Gu, Yan
32 Fan, Chia-Ming
31 Doha, Eid H.
30 Young, Der-Liang
28 Fu, Zhuojia
26 Li, Zi-Cai
25 Johansson, B. Tomas
24 Tsai, Chia-Cheng
22 Wang, Fajie
20 Alves, Carlos J. S.
20 Lin, Ji
20 Sun, Linlin
17 Smyrlis, Yiorgos-Sokratis
16 Bialecki, Bernard
16 Fairweather, Graeme
16 Huang, Hung-Tsai
16 Qu, Wenzhen
15 Cheng, Alexander H.-D.
15 Li, Ming
15 Qin, Qinghua
15 Šarler, Božidar
14 Bhrawy, Ali Hassan
14 Zhang, Chuanzeng
13 Abd-Elhameed, Waleed Mohamed
13 Wei, Xing
12 Kolodziej, Jan Adam
12 Li, Xiaolin
12 Liu, Chein-Shan
12 Wei, Ting
10 Antunes, Pedro Ricardo Simão
10 Lee, Ming-Gong
10 Martins, Nuno F. M.
10 Potier-Ferry, Michel
9 Chapko, Roman
9 Chen, Bin
9 Dou, Fangfang
9 Godinho, Luís M. C.
9 Grabski, Jakub Krzysztof
9 Liu, Xiaoyan
9 Sun, Yao
9 Valtchev, Svilen S.
9 Zhang, Liping
8 Hon, Yiu-Chung
8 Ling, Leevan
8 Tadeu, António J. B.
8 Wang, Fuzhang
8 Wang, Hui
7 Liu, Qingguo
7 Oruç, Ömer
7 Phillips, Timothy N.
7 Reeve, Thomas
7 Zhu, Huiqing
6 Abbasbandy, Saeid
6 Abou-Dina, Moustafa S.
6 Ahmed, Hany M.
6 Ang, Whyeteong
6 Bin-Mohsin, Bandar
6 Boroomand, Bijan
6 Chen, Chuin-Shan
6 Dehghan Takht Fooladi, Mehdi
6 Guo, Ben-Yu
6 Jankowska, Malgorzata A.
6 Li, Junpu
6 Li, Po-Wei
6 Li, Xinxiang
6 Napoli, Anna
6 Ramachandran, Palghat A.
6 Reddy, Gujji Murali Mohan
6 Shanazari, Kamal
6 Shivanian, Elyas
6 Siddiqi, Shahid Saeed
6 Siraj-ul-Islam
6 Yang, Fenglian
5 Akram, Ghazala
5 An, Jing
5 Aslefallah, Mohammad
5 Berger, J. R.
5 Chen, Jeng-Tzong
5 Chiang, John Y.
5 Dong, Heping
5 Du, Kui
5 El-Gamel, Mohamed
5 El-Soubhy, Salma Ibrahim
5 Georgiou, Georgios C.
5 Hafez, Ramy Mahmoud
5 Hematiyan, Mohammad Rahim
5 Koblishvili, Nana
5 Ku, Cheng-Yu
5 Li, Jichun
5 Li, Wen
5 Li, Xin
5 Ma, Fuming
5 Mierzwiczak, Magdalena
5 Paprzycki, Marcin
5 Rashed, Youssef F.
...and 1,236 more Authors
all top 5

Cited in 168 Serials

322 Engineering Analysis with Boundary Elements
81 Computers & Mathematics with Applications
57 Applied Mathematics and Computation
42 Journal of Computational and Applied Mathematics
41 Journal of Computational Physics
36 Inverse Problems in Science and Engineering
35 Numerical Algorithms
33 Applied Mathematical Modelling
26 Journal of Scientific Computing
23 Numerical Methods for Partial Differential Equations
22 Computer Methods in Applied Mechanics and Engineering
22 Applied Mathematics Letters
20 Advances in Applied Mathematics and Mechanics
19 Mathematics and Computers in Simulation
19 Applied Numerical Mathematics
17 International Journal of Computer Mathematics
16 International Journal for Numerical Methods in Engineering
16 Computational Mechanics
13 Mathematical Problems in Engineering
11 Advances in Computational Mathematics
9 International Journal of Computational Methods
8 Computational and Applied Mathematics
7 Journal of Engineering Mathematics
7 International Journal of Applied and Computational Mathematics
6 Computers and Fluids
6 International Journal for Numerical Methods in Fluids
6 Mathematical and Computer Modelling
6 Communications in Computational Physics
6 Transactions of A. Razmadze Mathematical Institute
5 Applicable Analysis
5 Wave Motion
5 SIAM Journal on Scientific Computing
5 Communications in Numerical Methods in Engineering
5 Integral Transforms and Special Functions
5 Journal of Applied Mathematics and Computing
4 Inverse Problems
4 Journal of Fluid Mechanics
4 Journal of Mathematical Analysis and Applications
4 BIT
4 International Journal of Numerical Methods for Heat & Fluid Flow
4 Journal of the Egyptian Mathematical Society
4 Journal of Applied Mathematics
4 Mediterranean Journal of Mathematics
4 Inverse Problems and Imaging
3 International Journal of Heat and Mass Transfer
3 International Journal of Solids and Structures
3 Mathematical Methods in the Applied Sciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Mathematics of Computation
3 Computing
3 The Journal of Analysis
3 Abstract and Applied Analysis
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 European Journal of Mechanics. B. Fluids
3 Communications in Nonlinear Science and Numerical Simulation
3 SIAM Journal on Imaging Sciences
3 International Journal for Numerical Methods in Biomedical Engineering
3 Journal of Function Spaces
3 AIMS Mathematics
2 Acta Mechanica
2 Computer Physics Communications
2 Journal of Mathematical Physics
2 Journal of the Mechanics and Physics of Solids
2 Ukrainian Mathematical Journal
2 Numerische Mathematik
2 SIAM Journal on Numerical Analysis
2 Applied Mathematics and Mechanics. (English Edition)
2 Bulletin of the Iranian Mathematical Society
2 Japan Journal of Industrial and Applied Mathematics
2 Applications of Mathematics
2 Archive of Applied Mechanics
2 Journal of Mathematical Imaging and Vision
2 Advances in Engineering Software
2 Numerical Linear Algebra with Applications
2 Fractals
2 Journal of Inverse and Ill-Posed Problems
2 Journal of Mathematical Chemistry
2 Mathematics and Mechanics of Solids
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 European Journal of Mechanics. A. Solids
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Engineering Computations
2 The ANZIAM Journal
2 Discrete and Continuous Dynamical Systems. Series B
2 Boundary Value Problems
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Frontiers of Mathematics in China
2 Advances in Mathematical Physics
2 Mathematical Sciences
2 JSIAM Letters
2 Journal of Mathematics
2 Computational Methods for Differential Equations
2 Electronic Research Archive
2 Mechanics of Solids
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Biology
1 Mathematische Semesterberichte
1 Physics Letters. A
...and 68 more Serials
all top 5

Cited in 36 Fields

986 Numerical analysis (65-XX)
461 Partial differential equations (35-XX)
231 Mechanics of deformable solids (74-XX)
172 Fluid mechanics (76-XX)
86 Classical thermodynamics, heat transfer (80-XX)
61 Ordinary differential equations (34-XX)
43 Optics, electromagnetic theory (78-XX)
30 Approximations and expansions (41-XX)
28 Special functions (33-XX)
24 Potential theory (31-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
16 Integral equations (45-XX)
14 Biology and other natural sciences (92-XX)
11 Geophysics (86-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Probability theory and stochastic processes (60-XX)
8 Functions of a complex variable (30-XX)
8 Operator theory (47-XX)
6 Computer science (68-XX)
5 Integral transforms, operational calculus (44-XX)
5 Statistics (62-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Operations research, mathematical programming (90-XX)
4 Number theory (11-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Quantum theory (81-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Functional analysis (46-XX)
1 Combinatorics (05-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.