Abstract In this paper, we present a numerical study of a mixed formulation of the bilateral obstacle problem with a non-homogeneous condition on the boundary. We define the discrete problem starting from the discretization, by the finite element method, of the mixed formulation, then we establish the convergence of the approximate solutions to the exact one. Next, we propose an iterative method based on an Uzawa type algorithm and a multigrid solver to solve the discrete problem. Finally, some numerical examples are given.

中文翻译：

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用于双边障碍问题的具有多重网格求解器的 Uzawa 算法

摘要 在本文中，我们对边界上具有非齐次条件的双边障碍问题的混合公式进行了数值研究。我们从混合公式的有限元方法的离散化开始定义离散问题，然后我们建立近似解到精确解的收敛性。接下来，我们提出了一种基于 Uzawa 型算法和多重网格求解器的迭代方法来解决离散问题。最后给出了一些数值例子。