We discuss goal-oriented adaptivity in the frame of conforming finite element methods and plain convergence of the related a posteriori error estimator for different general marking strategies. We present an abstract analysis for two different settings. First, we consider problems where a local discrete efficiency estimate holds. Second, we show plain convergence in a setting that relies only on structural properties of the error estimators, namely stability on non-refined elements as well as reduction on refined elements. In particular, the second setting does not require reliability and efficiency estimates. Numerical experiments underline our theoretical findings.

翻译：在符合限定要素方法的框架内,我们讨论面向目标的适应性,并将相关的事后误差估计器对不同的通用标记战略进行简单统一。我们为两种不同的环境进行抽象分析。首先,我们考虑本地离散效率估计所存在的问题。第二,我们在一个仅依赖误差估计器的结构特性,即非精减元素的稳定以及精细元素的减少的环境下表现出明显的趋同性。特别是,第二个环境不需要可靠性和效率估计。数字实验强调了我们的理论结论。