Combine complex variable reproducing kernel particle method and finite element method for solving transient heat conduction problems

doi:10.1088/1674-1056/22/5/050202

Abstract In this paper, the complex variable reproducing kernel particle (CVRKP) method and the finite element (FE) method are combined as the CVRKP-FE method to solve transient heat conduction problems. The CVRKP-FE method not only conveniently imposes the essential boundary conditions, but also exploits the advantages of the individual methods while avoiding their disadvantages, then the computational efficiency is higher. A hybrid approximation function is applied to combine the CVRKP method with the FE method, and the traditional difference method for two-point boundary value problems is selected as the time discretization scheme. The corresponding formulations of the CVRKP-FE method are presented in detail. Several selected numerical examples of the transient heat conduction problems are presented to illustrate the performance of the CVRKP-FE method.

Keywords: complex variable reproducing kernel particle method finite element method combined method transient heat conduction

Received: 06 November 2012
Revised: 19 December 2012
Accepted manuscript online:

PACS:	02.30.Fn	(Several complex variables and analytic spaces)
	02.30.Jr	(Partial differential equations)
	02.60.-x	(Numerical approximation and analysis)
	02.60.Cb	(Numerical simulation; solution of equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11171208) and the Special Fund for Basic Scientific Research of Central Colleges of Chang'an University, China (Grant No. CHD2011JC080).

Corresponding Authors: Cheng Yu-Min
E-mail: ymcheng@shu.edu.cn

Cite this article:

Chen Li (陈丽), Ma He-Ping (马和平), Cheng Yu-Min (程玉民) Combine complex variable reproducing kernel particle method and finite element method for solving transient heat conduction problems 2013 Chin. Phys. B 22 050202

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Combine complex variable reproducing kernel particle method and finite element method for solving transient heat conduction problems

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