Andreas Karageorghis

Math. Comput. Simul., 2025

Multi-level method of fundamental solutions for solving polyharmonic problems.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2025

2024

Training RBF neural networks for solving nonlinear and inverse boundary value problems.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2024

2023

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

[BibT_eX]

[DOI]

Math. Comput. Simul., April, 2023

2022

RBF-DQ algorithms for elliptic problems in axisymmetric domains.

[BibT_eX]

[DOI]

Numer. Algorithms, 2022

An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem.

[BibT_eX]

[DOI]

Numer. Algorithms, 2022

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

[BibT_eX]

[DOI]

Comput. Math. Appl., 2022

Fictitious centre RBF method for high order BVPs in multiply connected domains.

[BibT_eX]

[DOI]

Amir Noorizadegan

Chuin-Shan Chen

Appl. Math. Lett., 2022

A time-efficient variable shape parameter Kansa-radial basis function method for the solution of nonlinear boundary value problems.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2022

2021

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

[BibT_eX]

[DOI]

Demetriana Tappoura

Math. Comput. Simul., 2021

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

[BibT_eX]

[DOI]

Lionel Amuzu

J. Comput. Appl. Math., 2021

2020

A quadratic spline collocation method for the Dirichlet biharmonic problem.

[BibT_eX]

[DOI]

Numer. Algorithms, 2020

The radial basis function-differential quadrature method for elliptic problems in annular domains.

[BibT_eX]

[DOI]

Daniel W. Watson

J. Comput. Appl. Math., 2020

A novel RBF collocation method using fictitious centres.

[BibT_eX]

[DOI]

Fang-Fang Dou

Appl. Math. Lett., 2020

A fictitious points one-step MPS-MFS technique.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2020

2018

Kansa-RBF algorithms for elliptic problems in regular polygonal domains.

[BibT_eX]

[DOI]

Numer. Algorithms, 2018

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

[BibT_eX]

[DOI]

Numer. Algorithms, 2018

2017

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

[BibT_eX]

[DOI]

Xiao-Yan Liu

J. Sci. Comput., 2017

2016

Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains.

[BibT_eX]

[DOI]

Xiao-Yan Liu

SIAM J. Sci. Comput., 2016

On choosing the location of the sources in the MFS.

[BibT_eX]

[DOI]

Yan Li

Numer. Algorithms, 2016

2015

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

[BibT_eX]

[DOI]

Numer. Algorithms, 2015

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

[BibT_eX]

[DOI]

Xiao-Yan Liu

J. Sci. Comput., 2015

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

[BibT_eX]

[DOI]

J. Sci. Comput., 2015

2013

Efficient Trefftz collocation algorithms for elliptic problems in circular domains.

[BibT_eX]

[DOI]

Numer. Algorithms, 2013

Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations.

[BibT_eX]

[DOI]

Numer. Algorithms, 2013

Efficient MFS Algorithms for Problems in Thermoelasticity.

[BibT_eX]

[DOI]

Liviu Marin

J. Sci. Comput., 2013

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

[BibT_eX]

[DOI]

Ming Li

Comput. Math. Appl., 2013

2011

Matrix decomposition algorithms for elliptic boundary value problems: a survey.

[BibT_eX]

[DOI]

Numer. Algorithms, 2011

Efficient MFS Algorithms for Inhomogeneous Polyharmonic Problems.

[BibT_eX]

[DOI]

J. Sci. Comput., 2011

Compact optimal quadratic spline collocation methods for the Helmholtz equation.

[BibT_eX]

[DOI]

Jon Maack

J. Comput. Phys., 2011

2010

Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2010

Efficient Kansa-type MFS algorithm for elliptic problems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2010

2009

Efficient MFS algorithms in regular polygonal domains.

[BibT_eX]

[DOI]

Numer. Algorithms, 2009

2008

Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk.

[BibT_eX]

[DOI]

J. Comput. Phys., 2008

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

[BibT_eX]

[DOI]

Computing, 2008

2007

A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems.

[BibT_eX]

[DOI]

J. Sci. Comput., 2007

A Spectral Mortar Element Discretization of the Poisson Equation with Mixed Boundary Conditions.

[BibT_eX]

[DOI]

Zakaria Belhachmi

J. Sci. Comput., 2007

2006

The Method of Fundamental Solutions for Stationary Heat Conduction Problems in Rotationally Symmetric Domains.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2006

A matrix decomposition MFS algorithm for certain linear elasticity problems.

[BibT_eX]

[DOI]

Th. Tsangaris

Numer. Algorithms, 2006

A Matrix Decomposition MFS Algorithm for Problems in Hollow Axisymmetric Domains.

[BibT_eX]

[DOI]

Th. Tsangaris

J. Sci. Comput., 2006

Identification and Reconstruction of a Small Leak Zone in a Pipe by a Spectral Element Method.

[BibT_eX]

[DOI]

Zakaria Belhachmi

K. Taous

J. Sci. Comput., 2006

2005

Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2005

A matrix decomposition MFS algorithm for axisymmetric biharmonic problems.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2005

The method of fundamental solutions in geometric design with potential fields.

[BibT_eX]

[DOI]

Roman Tankelevich

Proceedings of the International Conference on Computer Graphics and Interactive Techniques, 2005

2004

A Linear Least-Squares MFS for Certain Elliptic Problems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2004

Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle.

[BibT_eX]

[DOI]

Numer. Algorithms, 2004

2003

Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2003

2001

A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2001

Spectral Element Discretization of the Circular Driven Cavity, Part II: The Bilaplacian Equation.

[BibT_eX]

[DOI]

Zakaria Belhachmi

Christine Bernardi

SIAM J. Numer. Anal., 2001

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

[BibT_eX]

[DOI]

J. Sci. Comput., 2001

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

[BibT_eX]

[DOI]

Appl. Math. Lett., 2001

Rotation of the Sources and Normalization of the Fundamental Solutions in the MFS.

[BibT_eX]

[DOI]

Proceedings of the Parallel Processing and Applied Mathematics, 2001

The Method of Fundamental Solutions in Three-Dimensional Elastostatics.

[BibT_eX]

[DOI]

Andreas Poullikkas

Georgios Georgiou

Proceedings of the Parallel Processing and Applied Mathematics, 2001

1999

Conditioning of Pseudospectral Matrices for Certain Domain Decompositions.

[BibT_eX]

[DOI]

Marcin Paprzycki

J. Sci. Comput., 1999

1998

The method of fundamental solutions for elliptic boundary value problems.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1998

1996

An efficient direct method for fully conforming spectral collocation schemes.

[BibT_eX]

[DOI]

Marcin Paprzycki

Numer. Algorithms, 1996

High Performance Solution of Linear Systems Arising from Conforming Spectral Approximations for Non-Conforming Domain Decompositions.

[BibT_eX]

[DOI]

Marcin Paprzycki

Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

Conforming Spectral Domain Decomposition Schemes.

[BibT_eX]

[DOI]