Analysis of One-Dimensional Transient Heat Conduction Problems using Hybrid Laplace Transform/finite Element Method

라플라스 변환과 유한요소법의 결합에 의한 1차원 과도 열전도 문제 해석

In this paper, it is proposed that a algorithm which is applicable to the transient analysis by combined use of the Laplace transform and the finite element method. The proposed method removes the time terms using the Laplace transform and then solves the associated equation with the finite element method. The solution which is solved at frequency domain is transformed into time domain by use of the Laplace inversion. To verify proposed algorithm, heat conduction problem is analysed and found a good agreement with analytic solution.