求解弹性振动方程的稳健C0P1-P3时空有限元方法

A Robust C0P1-P3 Space-Time Finite Element Method for Elastic Vibration Problems

本文旨在构建一类稳健的C0P1-P3时空有限元方法求解弹性振动方程.该方法在时间方向上采用C0P1 DG方法离散,在空间上采用P3-非协调有限元方法离散,进而得到相应的全离散格式.数值试验结果验证了该方法的稳健性.

This paper devises a robust C0P1-P3 space-time finite element method for elastic vibration equations. The temporal discretization is obtained by the C0P1 DG method,and the spatial discretization is given by the P3-nonconforming element method,leading to a C0P1-P3 space-time fully discrete scheme for the problem. Numerical results demonstrate the robustness of the proposed method.