Boundary solution of Poisson's equation using radial basis function collocated on Gaussian quadrature nodes

被引：9

作者：

Elansari, M

Ouazar, D

Cheng, AHD ^{[1
]}

机构：

[1] Univ Delaware, Dept Civil & Environm Engn, Newark, DE 19716 USA

[2] Univ Hassan II Mohammadia, Fac Sci, Casablanca, Morocco

[3] Univ Mohammed V, Ecole Mohammadia Ingn, LASH, Rabat, Morocco

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2001年 / 17卷 / 07期

关键词：

boundary element method; dual reciprocity boundary element method; radial basis function; Poisson's equation; superconvergence;

D O I：

10.1002/cnm.419

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In the solution of Poisson's equation using either the dual reciprocity boundary element method or the method of fundamental solution, radial basis functions (RBFs) are used to approximate the right-hand side of the governing partial differential equation to eliminate the domain integration. This paper shows that if the RBF interpolation is collocated on the Gaussian quadrature nodes, we seem to observe superconvergence behaviour. This behaviour is demonstrated using a series of numerical examples. Copyright (C) 2001 John Wiley & Sons, Ltd.

引用

页码：455 / 464

页数：10

共 35 条

[31] Solving Inverse Problems of Stationary Convection-Diffusion Equation Using the Radial Basis Function Method with Polyharmonic Polynomials
Xiao, Jing-En
Ku, Cheng-Yu
Liu, Chih-Yu
APPLIED SCIENCES-BASEL, 2022, 12 (09):
[32] Numerical Solution to Poisson's Equation for Estimating Electrostatic Properties Resulting from an Axially Symmetric Gaussian Charge Density Distribution: Charge in Free Space
Salem, Mohammad
Aldabbagh, Omar
MATHEMATICS, 2024, 12 (13)
[33] Implementation of a scalable, performance portable shallow water equation solver using radial basis function-generated finite difference methods
Elliott, Samuel
Kumar, Raghu Raj Prasanna
Flyer, Natasha
Ta, Tuan
Loft, Richard
INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS, 2019, 33 (04): : 619 - 631
[34] A Feynman-Kac path-integral implementation for Poisson's equation using an h-conditioned Green's function
Hwang, CO
Mascagni, M
Given, JA
MATHEMATICS AND COMPUTERS IN SIMULATION, 2003, 62 (3-6) : 347 - 355
[35] Determining approximate solution of partial differential equations using radial basis function model trained with parallel symbiotic organisms search algorithm
Panda, Arnapurna
CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE, 2023, 35 (05):

← 1 2 3 4 →