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Complex variable reproducing kernel particle method for transient heat conduction problems

Cheng Yu-Min Chen Li

Complex variable reproducing kernel particle method for transient heat conduction problems

Cheng Yu-Min, Chen Li
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  • Abstract views:  3722
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  • Received Date:  05 January 2008
  • Accepted Date:  31 March 2008
  • Published Online:  20 October 2008

Complex variable reproducing kernel particle method for transient heat conduction problems

  • 1. (1)上海大学上海市应用数学和力学研究所,上海 200072; (2)上海大学上海市应用数学和力学研究所,上海 200072;长安大学理学院工程力学系,西安 710064

Abstract: On the basis of reproducing kernel particle method(RKPM), the complex variable reproducing kernel particle method (CVRKPM) is discussed. The advantage of the CVRKPM is that the correction function of a 2-D problem is formed with 1-D basis function when the shape function is obtained. Then, we apply the complex variable method to two-dimensional transient heat conduction problems. In combination with the Galerkin weak form of transient heat conduction problems, the penalty method is employed to enforce the essential boundary conditions, the CVRKPM for transient heat conduction problems is investigated and the corresponding formulae are obtained. Compared with the conventional RKPM, the CVRKPM introduced in this paper has a higher precision and a lower computation cost. Some examples given in this paper verify the effectivity of the proposed method.

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