二维粘弹性棒和板问题ADI有限差分法

ADI Finite Difference Method for Two Dimensional Viscoelastic Rod and Plate Problems

用交替方向隐式(ADI)有限差分法研究二维粘弹性棒和板问题的数值解,在时间方向采用向后Euler格式,积分项用一阶卷积求积公式逼近,空间方向用二阶中心差商离散,并通过数值例子验证理论分析的正确性.

The alternating direction implicit(ADI)finite difference method was used to study the numerical solution of two-dimensional viscoelastic rod and plate problems.Firstly,the backward Euler scheme was adopted in the time direction,the integral term was approximated by the first-order convolution quadrature formula.Then,the spatial direction was discretized by the second-order central difference quotient.Finally,a numerical example was used to confirm the correctness of the theoretical analysis.