解波动方程的配置有限元方法

DISPOSAL FINITE ELEMENT METHOD FOR WAVE EQUATION

本文提出了一种求解波动方程的近似方法,我们把它称为配置有限单元方法,即对空间坐标的量纲用有限单元方法,而对时间的量纲用配置法.这种近似方法看来精度是很高的,并且能适应于各种边界的特点;最后得到的代数方程式的系数矩阵也是对角型的.这些优点有可能填补惯用的半离散化近似方法的不足.

In this paper, the approximate method for a solution to wave equation is presented. It is known as the disposal finite element method which should be defined as: the finite element method is applicable for the dimension of space coordinate whereas the disposal finite element method for time dimension. It seems such approximate method has a very high precision and it can adapt itself to differant boundary conditions. The matrix of coefficients of algebraic equation finally obtained is also diagonal in shape. Presumably, the disadvantages of the conventional used approximate method of semi-discretization can be counteracted by the advantages mentioned above.