A continuous space-time finite element method for the wave equation
A continuous space-time finite element method for the wave equation
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DOI：
10.1090/s0025-5718-96-00685-0
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发表时间：
1996-04-01
影响因子：
2
通讯作者：
Peterson, TE
中科院分区：
文献类型：
--
作者：
French, DA;Peterson, TE
考虑非齐次二阶波动方程的有限元方法，它是在空间和时间的连续逼近函数，从而给出了统一的处理的空间和时间的离散。我们的分析主要使用能量参数，这是很常见的空间离散，但不是时间。我们提出了先验节点（在时间上）超收敛误差估计，没有任何特殊的时间步长限制。我们的方法基于张量积空间进行完全离散化。
The consider a finite element method for the nonhomogeneous second-order wave equation, which is formulated in terms of continuous approximation functions in both space and time, thereby giving a unified treatment of the spatial and temporal discretizations. Our analysis uses primarily energy arguments, which are quite common for spatial discretizations but not for time.We present a priori nodal (in time) superconvergence error estimates without any special time step restrictions. Our method is based on tensor product spaces for the full discretization.