Finite block Petrov-Galerkin method in transient heat conduction

被引：14

作者：

Li, M. ^{[1
]}

Monjiza, A. ^{[2
]}

Xu, Y. G. ^{[3
]}

Wen, P. H. ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan, Peoples R China

[2] Univ London, Sch Engn & Mat Sci, London, England

[3] Univ Hertfordshire, Sch Engn & Technol, Hatfield AL10 9AB, Herts, England

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2015年 / 60卷

基金：

山西省青年科学基金;

关键词：

Finite block Petrov-Galerkin method; Lagrange series expansion; Stationary and transient heat conduction; Anisotropic and functionally graded materials; INTEGRATION METHOD; STRESS WAVES; ELEMENT; APPROXIMATION; FORMULATION; MLPG;

D O I：

10.1016/j.enganabound.2015.01.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Based on the two-dimensional Lagrange series interpolation, the formulation of the Finite Block Petrov-Galerkin (FBPG) in the weak form is presented in this paper. In this case, the first order of partial differentials are only needed in the weak form governing equations and in the Neumann boundary condition. By introducing the mapping technique, a block of quadratic type is transformed from the Cartesian coordinate (xoy) to the normalized coordinate (xi o eta) with 8 seeds. Time dependent partial differential equations are analyzed in the Laplace transformed domain and the Durbin's inversion method is used to determine all the physical values in the time domain. Illustrative numerical examples are given and comparisons have been made with either analytical solutions or other numerical solutions including meshless method and the Finite Element Method (ABAQUS). (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：106 / 114

页数：9

共 50 条

[31] The Discontinuous Petrov-Galerkin methodology for the mixed Multiscale Finite Element Method
Cecot, Witold
Oleksy, Marta
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 95 : 28 - 40
[32] Application of Petrov-Galerkin finite element method to nonlinear transient diffusion-convection-reaction system
Park, SK
CHEMICAL ENGINEERING COMMUNICATIONS, 1995, 139 : 159 - 200
[33] A Finite Element enrichment technique by the Meshless Local Petrov-Galerkin method
Ferronato, M.
Mazzia, A.
Pini, G.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, 62 (02): : 205 - 223
[34] A finite element enrichment technique by the meshless local petrov-galerkin method
Ferronato, M.
Mazzia, A.
Pini, G.
CMES - Computer Modeling in Engineering and Sciences, 2010, 62 (02): : 205 - 222
[35] Finite volume meshless local Petrov-Galerkin method in elastodynamic problems
Moosavi, M. R.
Khelil, A.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (8-9) : 1016 - 1021
[36] ON A PETROV-GALERKIN FINITE-ELEMENT METHOD FOR EVAPORATION OF POLYDISPERSE AEROSOLS
TSANG, TH
HUANG, LK
AEROSOL SCIENCE AND TECHNOLOGY, 1990, 12 (03) : 578 - 597
[37] Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems
Mahmoodabadi, M. J.
Maafi, R. Abedzadeh
Bagheri, A.
Baradaran, G. H.
ADVANCES IN MECHANICAL ENGINEERING, 2011,
[38] Meshless Local Petrov-Galerkin Method with Moving Least Squares Approximation for Transient Thermal Conduction Applications with Variable Conductivity
Karagiannakis, N. P.
Bourantas, G. C.
Kalarakis, A. N.
Skouras, E. D.
Burganos, V. N.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
[39] Stabilised Meshless Local Petrov Galerkin Method for Heat Conduction
Singh, Rituraj
Singh, Abhishek Kumar
Singha, Krishna Mohan
PROCEEDINGS OF THE 25TH NATIONAL AND 3RD INTERNATIONAL ISHMT-ASTFE HEAT AND MASS TRANSFER CONFERENCE, IHMTC 2019, 2019,
[40] A Petrov-Galerkin enriched method: A mass conservative finite element method for the Darcy equation
Barrenechea, Gabriel R.
Franca, Leopoldo P.
Valentin, Frederic
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (21-24) : 2449 - 2464

← 1 2 3 4 5 →