A continuous space-time finite element method for the wave equation

被引：104

作者：

French, DA ^{[1
]}

Peterson, TE ^{[1
]}

机构：

[1] UNIV VIRGINIA,DEPT MATH APPL,CHARLOTTESVILLE,VA 22903

来源：

MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 214期

关键词：

D O I：

10.1090/S0025-5718-96-00685-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：491 / 506

页数：16

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