Substructures precise time integration method for transient heat conduction

The precise time-integration method was proposed for linear time-invariant dynamic system. It can give precise numerical results, which are almost equal to the results of the exact solution at the integration point. However, it is troublesome when the matrix size becomes larger. According to the concept of substructure, substructure precise time integration for transient heat conduction is presented in this paper. The exponential matrixes of substructures can be computed respectively and the communications between two substructures can be realized by using the physical quantity (such as nodal temperature) at the interface. And then the computational efficiency can be improved greatly. Numerical examples validate the algorithm.