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A posteriori estimation of the errorin the error estimte

机译:误差的后验估计

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In this paper we address the problem of a posteriori estimation of the error in the error estimate. We consider the case of estimates for the error in the derivatives, the strains, or the stresses, which are constructed in terms of locally-computed element error indicators of the element residual, or the least-squares recovery type. The estimates of the error in the error estimate have the same structure as the original error estimates, and are determined by locally averaging (recycling) the original error indicators. The most accurate indicators of the error in the error indicators are obtained by employing a 'harmonic' basis in the recycling of the indicators, namely, a basis which locally satisfies the partial differential equation and the boundary conditions.
机译:在本文中,我们解决了误差估计中误差的后验估计问题。我们考虑对导数,应变或应力的误差进行估计的情况,这些误差是根据元素残差或最小二乘恢复类型的局部计算元素误差指标来构造的。错误估计中的错误估计具有与原始错误估计相同的结构,并通过对原始错误指示符进行局部平均(回收)来确定。通过在指标的回收中采用“调和”基础,即局部满足偏微分方程和边界条件的基础,可以得到误差指标中最准确的误差指标。

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