论文标题
单侧接触问题的自适应二次有限元法
Adaptive quadratic finite element method for the unilateral contact problem
论文作者
论文摘要
在本文中，我们介绍并分析了无摩擦单方面接触问题的二次有限元方法的能量规范的后验错误估计。讨论了后验误差估计器的可靠性和效率。离散空间的合适分解$ \ b {v^h} $和一个离散空间$ \ b {q^h} $，其中定义了触点力密度的离散对应物，在得出后验错误估计中起着至关重要的作用。给出了数值结果，显示了提出的误差估计器的可靠性和效率。
In this paper, we present and analyze a posteriori error estimates in the energy norm of a quadratic finite element method for the frictionless unilateral contact problem. The reliability and the efficiency of a posteriori error estimator is discussed. The suitable decomposition of the discrete space $\b{V^h}$ and a discrete space $\b{Q^h}$, where the discrete counterpart of the contact force density is defined, play crucial role in deriving a posteriori error estimates. Numerical results are presented exhibiting the reliability and the efficiency of the proposed error estimator.
