Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems

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...

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Bibliographic Details
Published in:Advances in Mechanical Engineering 2011, Vol.2011 (2011), p.1-10
Main Authors: Baradaran, G. H., Bagheri, A., Abedzadeh Maafi, R., Mahmoodabadi, M. J.
Format: Article
Language:English
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Summary: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.
ISSN:1687-8132
1687-8140
1687-8132
DOI:10.1155/2011/251546