A new RBF-Trefftz meshless method for partial differential equations
Date
2010
Authors
CAO, Leilei
Qin, Qing Hua
Zhao, Ning
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing
Abstract
Based on the radial basis functions (RBF) and T-Trefftz solution, this paper presents a new meshless method for numerically solving various partial differential equation systems. First, the analog equation method (AEM) is used to convert the original patial differential equation to an equivalent Poisson's equation. Then, the radial basis functions (RBF) are employed to approxiamate the inhomogeneous term, while the homogeneous solution is obtained by linear combination of a set of T-Trefftz solutions. The present scheme, named RBF-Trefftz has the advantage over the fundamental solution (MFS) method due to the use of nonsingular T-Trefftz solution rather than singular fundamental solutions, so it does not require the artificial boundary. The application and efficiency of the proposed method are validated through several examples which include different type of differential equations, such as Laplace equation, Hellmholtz equation, convectin-diffusion equation and time-dependent equation.
Description
Keywords
Citation
Collections
Source
Proceedings of: WCCM/APCOM 2010
Type
Conference paper
Book Title
Entity type
Access Statement
License Rights
Restricted until
2037-12-31
Downloads
File
Description