A. Karageorghis

发表

The Method of Fundamental Solutions in Three-Dimensional Elastostatics

Andreas Poullikkas, Andreas Karageorghis, Georgios Georgiou, 2001, PPAM.

The method of fundamental solutions for three-dimensional elastostatics problems

G. Georgiou, A. Poullikkas, A. Karageorghis, 2002 .

A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions

A. Karageorghis, 2009 .

The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering

Daniel Lesnic, Andreas Karageorghis, B. T. Johansson, 2012 .

Matrix decomposition RBF algorithm for solving 3D elliptic problems

A. Karageorghis, Ching-Shyang Chen, Y. Smyrlis, 2009 .

Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions

Daniel Lesnic, Andreas Karageorghis, A. Karageorghis, 2008 .

Reconstruction of an elliptical inclusion in the inverse conductivity problem

A. Karageorghis, D. Lesnic, 2018, International Journal of Mechanical Sciences.

Detection of cavities using the method of fundamental solutions

D. Lesnic, A. Karageorghis, D. Lesnic, 2009 .

Application of the MFS to inverse obstacle scattering problems

Daniel Lesnic, Andreas Karageorghis, A. Karageorghis, 2011 .

A survey of applications of the MFS to inverse problems

D. Lesnic, A. Karageorghis, D. Lesnic, 2011 .

The under-determined version of the MFS: Taking more sources than collocation points

Andreas Karageorghis, A. Karageorghis, Y. Smyrlis, 2010 .

Efficient implementation of the MFS: The three scenarios

Andreas Karageorghis, A. Karageorghis, Y. Smyrlis, 2009 .

E-cient implementation of the MFS: The three scenarios 1;2

A. Karageorghis, S. Smyrlis, 2007 .

Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains

Andreas Karageorghis, A. Karageorghis, Y. Smyrlis, 2007 .

A Matrix Decomposition MFS Algorithm \\ for Biharmonic Problems in Annular Domains

A. Karageorghis, Y. Smyrlis, T. Tsangaris, 2004 .

Some Aspects of the Method of Fundamental Solutions for Certain Biharmonic Problems

Andreas Karageorghis, A. Karageorghis, Y. Smyrlis, 2003 .

The Almansi method of fundamental solutions for solving biharmonic problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1988 .

The method of fundamental solutions for the numerical solution of the biharmonic equation

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1987 .

An Adaptive Indirect Boundary Element Method with Applications

Graeme Fairweather, G. Fairweather, A. Karageorghis, 1986 .

The method of fundamental solutions for scattering and radiation problems

Graeme Fairweather, Andreas Karageorghis, Paul A. Martin, 2003 .

Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems

A. Karageorghis, J. Grabski, 2019, Engineering Analysis with Boundary Elements.

The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering

A. Karageorghis, D. Lesnic, L. Marin, 2017, Engineering Analysis with Boundary Elements.

The MFS for the identification of a sound-soft interior acoustic scatterer

A. Karageorghis, D. Lesnic, L. Marin, 2017 .

A numerical study of the SVD–MFS solution of inverse boundary value problems in two‐dimensional steady‐state linear thermoelasticity

Daniel Lesnic, Andreas Karageorghis, Liviu Marin, 2015 .

Matrix Decomposition MFS Algorithms

A. Karageorghis, Y. Smyrlis, 2006 .

Stress intensity factor computation using the method of fundamental solutions

Andreas Poullikkas, Andreas Karageorghis, John Berger, 2006 .

Potential field based geometric modelling using the method of fundamental solutions

Graeme Fairweather, Andreas Karageorghis, Roman Tankelevich, 2006 .

Numerical analysis of the method of fundamental solution for harmonic problems in annular domains

Andreas Karageorghis, Th. Tsangaris, A. Karageorghis, 2006 .

Numerical analysis of the MFS for certain harmonic problems

Andreas Karageorghis, A. Karageorghis, Y. Smyrlis, 2004 .

The method of fundamental solutions for axisymmetric acoustic scattering and radiation problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1998 .

The method of fundamental solutions for axisymmetric potential problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1999 .

The Method of Fundamental Solutions for axisymmetric elasticity problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 2000 .

The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions

Andreas Poullikkas, Georgios C. Georgiou, Andreas Karageorghis, 2001 .

The method of fundamental solutions for layered elastic materials

Andreas Karageorghis, John Berger, A. Karageorghis, 2001 .

A fully Bayesian approach to shape estimation of objects from tomography data using MFS forward solutions

A. Karageorghis, R. Aykroyd, D. Lesnic, 2015 .

THE METHOD OF FUNDAMENTAL SOLUTIONS FOR HEAT CONDUCTION IN LAYERED MATERIALS

A. Karageorghis, J. Berger, 1999 .

A moving pseudo‐boundary method of fundamental solutions for void detection

Daniel Lesnic, Andreas Karageorghis, Liviu Marin, 2013 .

The Method of Fundamental Solutions for the Solution of Nonlinear Plane Potential Problems

G. Fairweather, A. Karageorghis, 1989 .

THE SIMPLE LAYER POTENTIAL METHOD OF FUNDAMENTAL SOLUTIONS FOR CERTAIN BIHARMONIC PROBLEMS

G. Fairweather, A. Karageorghis, 1989 .

Simultaneous numerical determination of a corroded boundary and its admittance

A. Karageorghis, B. Bin-Mohsin, D. Lesnic, 2015 .

Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems

A. Karageorghis, D. Lesnic, L. Marin, 2014 .

A conforming spectral collocation strategy for Stokes flow through a channel contraction

A. Karageorghis, T. Phillips, 1991 .

A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2000 .

A conforming spectral technique for biharmonic-type problems in rectangular domains

Andreas Karageorghis, A. Karageorghis, 1994 .

The Plane Waves Method for Numerical Boundary Identification

A. Karageorghis, D. Lesnic, L. Marin, 2017 .

Committees Scientific Committee Organizing Committee Plenary Speakers Schedule Schedule Schedule Xylar Asay-davis Schedule Room: Cbc C116 Mini-symposium 4 Advances in Analytical and Computational Techniques for Nonlinear Waves Organizer: Room: Cbc C118 Mini-symposium 9 Uncertainty Quantification for

C. S. Chen, Zhangxing, Eric A. Machorro, 2022 .

Shape parameter estimation in RBF function approximation

A. Karageorghis, P. Tryfonos, 2019, International Journal of Computational Methods and Experimental Measurements.

A Chebyshev spectral collocation method for the computation of buoyancy-induced flows

A. Karageorghis, S. Sivaloganathan, 1993 .

Kansa RBF method for nonlinear problems

A. Karageorghis, M. Jankowska, Ching‐Shyang Chen, 2018 .

Training RBF neural networks for the solution of elliptic boundary value problems

A. Karageorghis, C.S. Chen, 2022, Comput. Math. Appl..

Kansa radial basis function method with fictitious centres for solving nonlinear boundary value problems

A. Karageorghis, A. Katsiamis, 2020 .

Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems

A. Karageorghis, M. Jankowska, 2019, Engineering Analysis with Boundary Elements.

A Kansa-RBF method for Poisson problems in annular domains

C. S. Chen, A. Karageorghis, 2014 .

A numerical conformal mapping method for harmonic mixed boundary value problems

A. Karageorghis, N. Stylianopoulos, H. A. Zachariades, 1996 .

The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data

A. Karageorghis, B. Johansson, D. Lesnic, 2017 .

Kansa–RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions

A. Karageorghis, M. Jankowska, C.S. Chen, 2022, Mathematics and Computers in Simulation.

Kansa-RBF algorithms for elliptic problems in regular polygonal domains

C. S. Chen, A. Karageorghis, M. Jankowska, 2018, Numerical Algorithms.

Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method

C. S. Chen, A. Karageorghis, Xiao-yan Liu, 2016, Journal of Scientific Computing.

A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains

C. S. Chen, A. Karageorghis, Xiao-yan Liu, 2015, Journal of Scientific Computing.

Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

A. Karageorghis, Chingshyang Chen, 2019, Communications in Computational Physics.

Efficient Trefftz collocation algorithms for elliptic problems in circular domains

A. Karageorghis, 2013, Numerical Algorithms.

The method of fundamental solutions for three-dimensional inverse geometric elasticity problems

Daniel Lesnic, Andreas Karageorghis, Liviu Marin, 2016 .

A moving pseudo-boundary MFS for void detection in two-dimensional thermoelasticity

Daniel Lesnic, Andreas Karageorghis, Liviu Marin, 2014 .

The MFS for the Cauchy problem in two-dimensional steady-state linear thermoelasticity

A. Karageorghis, L. Marin, 2013 .

Regularized MFS-Based Boundary Identification in Two-Dimensional Helmholtz-Type Equations

Andreas Karageorghis, Liviu Marin, A. Karageorghis, 2009 .

A matrix decomposition RBF algorithm: Approximation of functions and their derivatives

Andreas Karageorghis, Ching-Shyang Chen, A. Karageorghis, 2007 .

The MFS–MPS for two-dimensional steady-state thermoelasticity problems

A. Karageorghis, L. Marin, 2013 .

The method of fundamental solutions for inhomogeneous elliptic problems

Andreas Poullikkas, Georgios C. Georgiou, Andreas Karageorghis, 1998 .

A novel RBF collocation method using fictitious centres

C. S. Chen, Andreas Karageorghis, Fang-Fang Dou, 2020, Appl. Math. Lett..

A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains

C. S. Chen, Andreas Karageorghis, Xiao-Yan Liu, 2015, J. Sci. Comput..

Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows

Timothy Nigel Phillips, Andreas Karageorghis, A. R. Davies, 1988 .

The method of fundamental solutions for elliptic boundary value problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1998, Adv. Comput. Math..

Finite Difference Schemes for the Cauchy–Navier Equations of Elasticity with Variable Coefficients

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2015, J. Sci. Comput..

Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems

Andreas Karageorghis, Yiorgos Sokratis Smyrlis, A. Karageorghis, 2002, J. Sci. Comput..

Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows

Timothy Nigel Phillips, Andreas Karageorghis, A. R. Davies, 1988 .

The method of fundamental solutions for Brinkman flows. Part II. Interior domains

A. Karageorghis, D. Lesnic, L. Marin, 2021 .

The method of fundamental solutions for Brinkman flows. Part I. Exterior domains

A. Karageorghis, D. Lesnic, L. Marin, 2021, Journal of Engineering Mathematics.

The method of fundamental solutions for Brinkman flows. Part I. Exterior domains

A. Karageorghis, D. Lesnic, L. Marin, 2021 .

The method of fundamental solutions for the Oseen steady‐state viscous flow past obstacles of known or unknown shapes

A. Karageorghis, D. Lesnic, 2019, Numerical Methods for Partial Differential Equations.

The method of fundamental solutions for Brinkman flows. Part II. Interior domains

A. Karageorghis, D. Lesnic, L. Marin, 2021, Journal of Engineering Mathematics.

Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements

A. Karageorghis, D. Lesnic, 2020, Inverse Problems in Science and Engineering.

Regularized MFS solution of inverse boundary value problems in three-dimensional steady-state linear thermoelasticity

Daniel Lesnic, Andreas Karageorghis, Liviu Marin, 2016 .

A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2018, Numerical Algorithms.

A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2007, J. Sci. Comput..

On the coefficients of integrated expansions of ultraspherical polynomials

Timothy Nigel Phillips, Andreas Karageorghis, A. Karageorghis, 1990 .

A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function

Andreas Karageorghis, A. Karageorghis, 1988 .

Compact optimal quadratic spline collocation methods for the Helmholtz equation

Graeme Fairweather, Andreas Karageorghis, Jon Maack, 2011, J. Comput. Phys..

Optimal superconvergent one step quadratic spline collocation methods

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2008 .

Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2010, SIAM J. Sci. Comput..

A matrix decomposition MFS algorithm for certain linear elasticity problems

Andreas Karageorghis, Yiorgos Sokratis Smyrlis, Th. Tsangaris, 2006, Numerical Algorithms.

The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation

Andreas Karageorghis, A. Karageorghis, 2001, Appl. Math. Lett..

Methods of fundamental solutions for harmonic and biharmonic boundary value problems

Andreas Poullikkas, Georgios C. Georgiou, Andreas Karageorghis, 1998 .

The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method

Andreas Karageorghis, A. Karageorghis, 1992 .

Conforming Chebyshev Spectral Collocation Methods for the Solution of Laminar flow in a Constricted Channel

Timothy Nigel Phillips, Andreas Karageorghis, A. Karageorghis, 1990 .

Chebyshev spectral collocation methods for Laminar flow through a channel contraction

A. Karageorghis, T. Phillips, 1989 .

Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains

Timothy Nigel Phillips, Andreas Karageorghis, A. Karageorghis, 1989 .

Matrix decomposition algorithms for elliptic boundary value problems: a survey

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2011, Numerical Algorithms.

Conforming spectral methods for Poisson problems in cuboidal domains

A. Karageorghis, 1994 .

Conforming Spectral Domain Decomposition Schemes

Andreas Karageorghis, A. Karageorghis, 1996, WNAA.

Conforming Chebyshev spectral collocation methods for the solution of the incompressible Navier-Stokes equations in complex geometries

A. Karageorghis, T. Phillips, 1990 .

Efficient spectral algorithms for solving the incompressible Navier-stokes equations in unbounded rectangularly decomposable domains

A. Karageorghis, T. Phillips, 1989 .

A Linear Least-Squares MFS for Certain Elliptic Problems

Andreas Karageorghis, Yiorgos Sokratis Smyrlis, A. Karageorghis, 2004, Numerical Algorithms.

On choosing the location of the sources in the MFS

C. S. Chen, A. Karageorghis, Yan Li, 2016, Numerical Algorithms.

The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions

Ming Li, C. S. Chen, Andreas Karageorghis, 2013, Comput. Math. Appl..

Galerkin Formulations of the Method of Fundamental Solutions

A. Karageorghis, J. Berger, 2013 .

Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems

Andreas Karageorghis, Yiorgos Sokratis Smyrlis, A. Karageorghis, 2008, Computing.

A matrix decomposition MFS algorithm for axisymmetric biharmonic problems

Graeme Fairweather, Andreas Karageorghis, Yiorgos Sokratis Smyrlis, 2005, Adv. Comput. Math..

The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions

A. Karageorghis, 2014, Numerical Algorithms.

The Method of Fundamental Solutions for Stokes flows with a free surface

G. Georgiou, A. Poullikkas, A. Karageorghis, 1998 .

A quadratic spline collocation method for the Dirichlet biharmonic problem

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2019, Numerical Algorithms.

Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2002, SIAM J. Sci. Comput..

Compact Optimal Quadratic Spline Collocation Methods for Poisson and Helmholtz Problems : Formulation and Numerical Verification

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 2010 .

The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems

C. S. Chen, Andreas Karageorghis, C. S. Chen, 2021, Math. Comput. Simul..

Kansa RBF collocation method with auxiliary boundary centres for high order BVPs

Andreas Karageorghis, Ching-Shyang Chen, Lionel Amuzu, 2021, J. Comput. Appl. Math..

Spectral Element Discretization of the Circular Driven Cavity. Part IV: The Navier-Stokes Equations

Christine Bernardi, Zakaria Belhachmi, Andreas Karageorghis, 2004 .

Spectral Element Discretization of the Circular Driven Cavity. Part III: The Stokes Equations in Primitive Variables

Christine Bernardi, Zakaria Belhachmi, Andreas Karageorghis, 2003 .

On efficient direct methods for conforming spectral domain decomposition techniques

Timothy Nigel Phillips, Andreas Karageorghis, A. Karageorghis, 1990 .

Conforming Chebyshev spectral methods for Poisson problems in rectangular domains

Andreas Karageorghis, A. Karageorghis, 1993 .

A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains

Andreas Karageorghis, A. Karageorghis, 1991 .

A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2000, SIAM J. Sci. Comput..

The method of fundamental solutions for solving scattering problems from infinite elastic thin plates

A. Karageorghis, D. Lesnic, 2024, Computers & Structures.