Kernel techniques: from machine learning to meshless methods
R Schaback, H Wendland - Acta numerica, 2006 - cambridge.org
Kernels are valuable tools in various fields of numerical analysis, including approximation,
interpolation, meshless methods for solving partial differential equations, neural networks …
interpolation, meshless methods for solving partial differential equations, neural networks …
The method of fundamental solutions for scattering and radiation problems
G Fairweather, A Karageorghis, PA Martin - Engineering analysis with …, 2003 - Elsevier
The development of the method of fundamental solutions (MFS) and related methods for the
numerical solution of scattering and radiation problems in fluids and solids is described and …
numerical solution of scattering and radiation problems in fluids and solids is described and …
[HTML][HTML] Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems
The traditional method of fundamental solutions (MFS) based on the “global” boundary
discretization leads to dense and non-symmetric coefficient matrices that, although smaller …
discretization leads to dense and non-symmetric coefficient matrices that, although smaller …
[HTML][HTML] Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
L Marin - International Journal of Solids and Structures, 2005 - Elsevier
The application of the method of fundamental solutions to the Cauchy problem for steady-
state heat conduction in two-dimensional functionally graded materials (FGMs) is …
state heat conduction in two-dimensional functionally graded materials (FGMs) is …
Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
In this paper we combine the method of fundamental solutions with various regularization
techniques to solve Cauchy problems of elliptic differential operators. The main idea is to …
techniques to solve Cauchy problems of elliptic differential operators. The main idea is to …
The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations
In this paper, the application of the method of fundamental solutions to the Cauchy problem
associated with two-dimensional Helmholtz-type equations is investigated. The resulting …
associated with two-dimensional Helmholtz-type equations is investigated. The resulting …
The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
In this paper, the application of the method of fundamental solutions to the Cauchy problem
in two-dimensional isotropic linear elasticity is investigated. The resulting system of linear …
in two-dimensional isotropic linear elasticity is investigated. The resulting system of linear …
A new boundary meshfree method with distributed sources
YJ Liu - Engineering Analysis with Boundary Elements, 2010 - Elsevier
A new boundary meshfree method, to be called the boundary distributed source (BDS)
method, is presented in this paper that is truly meshfree and easy to implement. The method …
method, is presented in this paper that is truly meshfree and easy to implement. The method …
[PDF][PDF] The method of fundamental solution for solving multidimensional inverse heat conduction problems
We propose in this paper an effective meshless and integration-free method for the
numerical solution of multidimensional inverse heat conduction problems. Due to the use of …
numerical solution of multidimensional inverse heat conduction problems. Due to the use of …
Localized method of fundamental solutions for large-scale modelling of three-dimensional anisotropic heat conduction problems–Theory and MATLAB code
The method of fundamental solutions (MFS) belongs to the family of meshless boundary
collocation methods and now has been successfully tried for many kinds of engineering …
collocation methods and now has been successfully tried for many kinds of engineering …