Transient thermal conduction with variable conductivity using the Meshless Local Petrov–Galerkin method

作者：

Highlights：

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• Spatiotemporally variable heat conduction problems are solved efficiently.

• MLPG method with MLS interpolation for approximation of the field variables is used.

• Novel rectangular-type integration with complete coverage improves stability.

• MLPG refinement offers computational efficiency which surpasses FEM approaches.

摘要

•Spatiotemporally variable heat conduction problems are solved efficiently.•MLPG method with MLS interpolation for approximation of the field variables is used.•Novel rectangular-type integration with complete coverage improves stability.•MLPG refinement offers computational efficiency which surpasses FEM approaches.

论文关键词：Meshless Petrov–Galerkin,Moving Least Squares,Heat conduction,Spatiotemporally varying conductivity

论文评审过程：Available online 25 March 2015, Version of Record 15 November 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.02.084