Using state-space models for solving elastodynamic problems discretized by the MLPG method

One of the popular methods for solving ordinary differential equations is the state-space approach. In this paper, the use of the state-space method to analyze elastodynamic problems, discretized by the MLPG method, is proposed. Two methods commonly used in solving such problems, namely, the central difference method and the Newmark method, are compared with the proposed method. To examine the accuracy and the computational time of the new method, an example is studied. The results of the implementation of these methods are compared with a finite element solution. The results show that the state-space method saves substantial computational time for a given accuracy.