Using increment-dimensional precise integration method for solving transient heat conduction problems discretized by the MLPG method

Author

Li, Qinghua ; Kou, Guangxiao ; Chen, Shenshen

Author_Institution

Coll. of Civil Eng., Hunan Univ. of Technol., Zhuzhou, China

fYear

2011

fDate

22-24 April 2011

Firstpage

1863

Lastpage

1866

Abstract

In this paper, a novel numerical method is proposed to solve two-dimensional transient heat conduction problems. The space domain is discretized with an improved MLPG method, which has combined the advantages of natural neighbour interpolation and Petrov-Galerkin (MLPG) method. The semi discrete heat conduction equation is solved in the time domain with increment-dimensional precise integration method. The numerical results show that the present solution procedure is effective and accurate.

Keywords

Galerkin method; heat conduction; integration; interpolation; 2D transient heat conduction problems; MLPG method; Petrov-Galerkin method; increment-dimensional precise integration method; natural neighbour interpolation; numerical method; semidiscrete heat conduction equation; solution procedure; space domain; Boundary conditions; Equations; Finite element methods; Heating; Interpolation; Shape; Transient analysis; heat conduction; increment-dimensional method; meshless; precise integration method; transient;

fLanguage

English

Publisher

ieee

Conference_Titel

Electric Technology and Civil Engineering (ICETCE), 2011 International Conference on

Conference_Location

Lushan

Print_ISBN

978-1-4577-0289-1

Type

conf

DOI

10.1109/ICETCE.2011.5775951

Filename

5775951