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中文摘要：
对具有齐次Dirichlet边界条件的线性随机椭圆型偏微分方程考虑了一类混合有限元方法,以同时高精度逼近未知函数与其扩散通量的统计矩.理论分析表明该方法对真解及其扩散通量的均值具有一阶最优逼近精度,数值实验也验证了理论结果的正确性.
英文摘要：
A class of mixed finite element methods for a linear elliptic problem with stochastic input data and homogeneous Dirichlet boundary conditions were considered to approximate statistical moments of the scalar function and its flux.Theoretical analysis shows that these methods have the first order optimal error estimates for the mean values of the stochastic solutions.Numerical experiments were developed to support the theoretical findings.
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