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Time and space adaptivity of the wave equation discretized in time by a second-order scheme
IMA Journal of Numerical Analysis ( IF 2.1 ) Pub Date : 2018-07-27 , DOI: 10.1093/imanum/dry048
Olga Gorynina 1 , Alexei Lozinski 1 , Marco Picasso 2
Affiliation  

The aim of this paper is to obtain a posteriori error bounds of optimal order in time and space for the linear second-order wave equation discretized by the Newmark scheme in time and the finite element method in space. An error estimate is derived in the |$L^{\infty }$|-in-time/energy-in-space norm. Numerical experiments are reported for several test cases and confirm equivalence of the proposed estimator and the true error.

中文翻译:

通过二阶方案及时离散的波动方程的时空适应性

本文的目的是为在时间和空间上采用Newmark方案离散化的线性二阶波动方程和在空间上采用有限元方法获得最优时空后验误差界。| $ L ^ {\ infty} $ |中会得出错误估计及时/空间能源规范。报道了几个测试案例的数值实验,并证实了所提估计量的等价性和真实误差。
更新日期:2020-04-17
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