Implementation of the novel perfectly matched layer element for elastodynamic problems in time-domain finite element method

For the numerical simulation of infinite domain problems in finite element method (FEM), unwanted reflection from the artificial boundaries of the model is a limiting factor. Therefore, in this paper, based on the theory of perfectly matched layer (PML), a novel element is derived to deal with absorbing boundary conditions in the framework of time-domain finite element method (TDFEM). Then, by combining with the viscoelastic model and modified Newmark algorithm, a novel method is proposed to absorb outgoing waves in unbounded domains. Numerical results show that the proposed method can efficiently absorb the elastic wave, and it can be employed to solve infinite domain problems.

Automated summary

A novel element and method are proposed in this paper, applying PML theory in FEM and combining with viscoelastic model and Newmark algorithm to efficiently absorb outgoing waves.