A SPACE-TIME FINITE-ELEMENT METHOD FOR THE WAVE-EQUATION
A SPACE-TIME FINITE-ELEMENT METHOD FOR THE WAVE-EQUATION
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DOI：
10.1016/0045-7825(93)90172-t
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发表时间：
1993-08-01
影响因子：
7.2
通讯作者：
FRENCH, DA
中科院分区：
文献类型：
--
作者：
FRENCH, DA
介绍了一种用时间和空间有限元同时求解波动方程的数值方法。给出了该方案的误差分析，并给出了多次计算的结果。这种格式对任意厚度的时间片都是精确的，不需要引入额外的最小二乘或稳定项。
A numerical method is introduced which uses finite elements in time and space simultaneously to solve the wave equation. An error analysis for this scheme is presented and the results of several computations. This scheme is accurate for time slabs of arbitrary thickness without introducing extra least squares or stabilization terms.