Singular boundary method: A review and computer implementation aspects
This paper presents an overview of the singular boundary method (SBM) and its various
engineering applications. The basic concepts of the singular boundary method are first …
engineering applications. The basic concepts of the singular boundary method are first …
An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability
AHD Cheng, Y Hong - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …
[图书][B] Linear integral equations
In the fourteen years since the second edition of this book appeared, linear integral
equations have continued to be an active area of mathematics and they have revealed more …
equations have continued to be an active area of mathematics and they have revealed more …
[图书][B] Chebyshev polynomials
JC Mason, DC Handscomb - 2002 - taylorfrancis.com
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold
particular importance in recent advances in subjects such as orthogonal polynomials …
particular importance in recent advances in subjects such as orthogonal polynomials …
[图书][B] Kernel-based approximation methods using Matlab
GE Fasshauer, MJ McCourt - 2015 - books.google.com
In an attempt to introduce application scientists and graduate students to the exciting topic of
positive definite kernels and radial basis functions, this book presents modern theoretical …
positive definite kernels and radial basis functions, this book presents modern theoretical …
[图书][B] Recent advances in radial basis function collocation methods
Function approximation and interpolation play an essential role in most fields of
computational sciences and engineering, such as data processing and numerical solution of …
computational sciences and engineering, such as data processing and numerical solution of …
Heritage and early history of the boundary element method
AHD Cheng, DT Cheng - Engineering analysis with boundary elements, 2005 - Elsevier
This article explores the rich heritage of the boundary element method (BEM) by examining
its mathematical foundation from the potential theory, boundary value problems, Green's …
its mathematical foundation from the potential theory, boundary value problems, Green's …
[PDF][PDF] The meshless local Petrov-Galerkin (MLPG) method: a simple & less-costly alternative to the finite element and boundary element methods
S Shen - Computer Modeling in Engineering & Sciences, 2002 - cdn.techscience.cn
A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …
functions is presented in this paper, based on the general concept of the meshless local …
[HTML][HTML] A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations
This study presents a parallel meshless solver for transient heat conduction analysis of
slender functionally graded materials (FGMs) with exponential variations. In the present …
slender functionally graded materials (FGMs) with exponential variations. In the present …
Exponential convergence and H‐c multiquadric collocation method for partial differential equations
AHD Cheng, MA Golberg, EJ Kansa… - Numerical Methods for …, 2003 - Wiley Online Library
The radial basis function (RBF) collocation method uses global shape functions to
interpolate and collocate the approximate solution of PDEs. It is a truly meshless method as …
interpolate and collocate the approximate solution of PDEs. It is a truly meshless method as …