Application of Meshless Natural Neighbour Petrov-Galerkin Method in Temperature Field

Dongmei Li, Maohui Xia, Yu Chen, Zitao Xu

Abstract


In Meshless natura1 neighbour Petrov-Galerkin method, The natural neighbour interpolation is used as trial function and
a weak form over the local polygonal sub-domains constructed by Delaunay triangular is used to obtain the discretized
system of equilibrium equations, and it’s a new truly meshless method. This method simplified the formation of the
equilibrium equations, facilitates the imposition of essential boundary conditions and the system stiffness matrix in the
present method is banded and sparse. Efforts are made to study Meshless natural neighbour Pettrov-Galerkin Method,
which is extended to solve the transient heat conduction. The numerical results show that the present method is quite
accurate and stable.

Full Text: PDF DOI: 10.5539/jmr.v2n1p52

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.

----------------------------------------------------------------------------------------------------------------------------------------------------------------------

doaj_logo_new_120 proquest_logo_120images_120.