@Article{JCM-33-5,
author = {Yang, Xiaoyuan and Xiaocui, Li and Ruisheng, Qi and Zhang, Yinghan},
title = {Full-Discrete Finite Element Method for Stochastic Hyperbolic Equation},
journal = {Journal of Computational Mathematics},
year = {2015},
volume = {33},
number = {5},
pages = {533--556},
abstract = {<p style="text-align: justify;">This paper is concerned with the finite element method for the stochastic wave equation and the stochastic elastic equation driven by space-time white noise. For simplicity, we rewrite the two types of stochastic hyperbolic equations into a unified form. We convert the stochastic hyperbolic equation into a regularized equation by discretizing the white noise and then consider the full-discrete finite element method for the regularized equation. We derive the modeling error by using &quot;Green&#39;s method&quot; and the finite element approximation error by using the error estimates of the deterministic equation. Some numerical examples are presented to verify the theoretical results.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1506-m2014-0186},
url = {https://global-sci.com/article/84613/full-discrete-finite-element-method-for-stochastic-hyperbolic-equation}
}