Combining the complex variable reproducing kernel particle method and the finite element method for solving transient heat conduction problems |
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| Authors: | Chen Li Ma He-Ping and Cheng Yu-Min |
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| Affiliation: | 1 Department of Mathematics, Shanghai University, Shanghai 200072, China 2 Department of Engineering Mechanics, Chang＇an University, Xi＇ an 710064, China 3 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China) |
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| Abstract: | In this paper, the complex variable reproducing kernel particle (CVRKP) method and the finite element (FE) method are combined as the CVRKP-FE method to solve transient heat conduction problems. The CVRKP-FE method not only conveniently imposes the essential boundary conditions, but also exploits the advantages of the individual methods while avoiding their disadvantages, then the computational efficiency is higher. A hybrid approximation function is applied to combine the CVRKP method with the FE method, and the traditional difference method for two-point boundary value problems is selected as the time discretization scheme. The corresponding formulations of the CVRKP-FE method are presented in detail. Several selected numerical examples of the transient heat conduction problems are presented to illustrate the performance of the CVRKP-FE method. |
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| Keywords: | complex variable reproducing kernel particle method finite element method combined method transient heat conduction |
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