For the first time we introduce an error estimator for the numerical approximation of the equations describing the dynamics of sea ice. The idea of the estimator is to identify different error contributions coming from spatial and temporal discretization as well as from the splitting in time of the ice momentum equations from further parts of the coupled system. The novelty of the error estimator lies in the consideration of the splitting error, which turns out to be dominant with increasing mesh resolution. Errors are measured in user specified functional outputs like the total sea ice extent. The error estimator is based on the dual weighted residual method that asks for the solution of an additional dual problem for obtaining sensitivity information. Estimated errors can be used to validate the accuracy of the solution and, more relevant, to reduce the discretization error by guiding an adaptive algorithm that optimally balances the mesh size and the time step size to increase the efficiency of the simulation.

中文翻译：

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用于海冰模拟的面向目标的误差估计器和网格自适应性

我们第一次为描述海冰动力学的方程的数值近似引入了误差估计器。估计器的想法是识别来自空间和时间离散化以及来自耦合系统其他部分的冰动量方程的时间分裂的不同误差贡献。误差估计器的新颖之处在于考虑了分裂误差，结果证明随着网格分辨率的增加，分裂误差占主导地位。误差是在用户指定的功能输出中测量的，如总海冰范围。误差估计器基于对偶加权残差方法，该方法要求求解额外的对偶问题以获得灵敏度信息。估计误差可用于验证解决方案的准确性，更重要的是，