文章基本信息

标题：Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems
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作者：M. J. Mahmoodabadi ; R. Abedzadeh Maafi ; A. Bagheri 等
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2011
卷号：2011
DOI：10.1155/2011/251546
出版社：Sage Publications Ltd.
摘要：The Meshless Local Petrov-Galerkin (MLPG) method is applied for solving the three-dimensional steady state heat conduction problems. This method is a truly meshless approach; also neither the nodal connectivity nor the background mesh is required for solving the initial boundary-value problems. The penalty method is adopted to enforce the essential boundary conditions. The moving least squares (MLS) approximation is used for interpolation schemes and the Heviside step function is chosen for representing the test function. The numerical results are compared with the exact solutions of the problem and Finite Difference Method (FDM). This comparison illustrates the accuracy as well as the capability of this method.