中文摘要：

这份报纸为随机的波浪方程和时空白人噪音驾驶的随机的有弹性的方程涉及有限元素方法。为简洁，我们重写随机的夸张方程的二种类型进一种统一形式。我们由 discretizing 把随机的夸张方程变换成一个调整方程白噪音然后为调整方程考虑完整分离的有限元素方法。我们由由使用确定的方程的错误估计使用“格林的方法”和有限元素近似错误导出当模特儿的错误。一些数字例子被举验证理论结果。[从作者抽象]

英文摘要：

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 “Green＇s method” 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.