升阶谱技术在时域问题中的应用

THE APPLICATION OF THE HIERACHICAL FINITE ELEMENT TECHNIQUE IN THE TIME DOMAIN

本文把升阶谱技术应用于时间域,建立了一种高精度的逐步积分法。它能自由地升高阶次,以满足预定的精度要求。对于一些工程问题是一种很有效的方法。Wilson-θ法及孙焕纯的改进θ法都是本文方法的特例。

The hierachical finite element technique has been applied in the time domain and a step-by-step integration method with high accuracy has been developed in this paper. The degrees of the hierachical finite element can be raised freely using the technique to reach the prescribed accuracy.It is a very effective method for some engineering problems. Wilson-θ method and the Sun Huanzhun method are special cases of this method.