Abstract
Transient heat conduction problems are normally simulated by the conventional consistent and lumped finite element methods. The discretization error and the physical reality violation in such problems are noticeable and unwanted responses are observed in the results when using the consistent formulations. Although in utilizing the lumped formulations, the violation of physical reality becomes reduced; however, emerging the discretization error would also become obvious to the degree of being quantifiable. In using the inverse finite element method without considering the element shape functions, the element matrices will be obtained by minimizing the governing equation and its generalized discretized corresponding formula. The results obtained by using this method indicates that the reduction in both the discretization error as well as the violation of physical reality would be realized.
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