波动方程的无网格-精细积分方法

Element free-precise integration method for wave equation

将无网格法和精细积分用于波动方程的计算.在空间上用无网格法进行离散,用修正变分原理处理本征边界条件;在时间域上用精细积分法求解动力学方程,然后给出两个波动方程的算例.数值结果表明此方法是稳定、精确的.

The element free-precise integration method is applied to solve the wave equation. It is discreted in space domain with element free method in which the essential boundary conditions are imposed by modified variation principle, and the precise integration is applied to solve the dynamics equation in time domain. Then two calculations of wave equation are given using the method above. The result shows that this method has advantage of high stability and accuracy.