In this article, convergence and quasi-optimal rate of convergence of an Adaptive Finite Element Method is shown for the Dirichlet boundary control problem that was proposed by Chowdhury et al. (2017, Error bounds for a Dirichlet boundary control problem based on energy spaces, Math. Comp., 86, 1103–1126). The theoretical results are illustrated by numerical experiments.

中文翻译：

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用于狄利克雷边界控制问题的 AFEM 的收敛性和准最优性


在本文中，展示了 Chowdhury 等人提出的狄利克雷边界控制问题的自适应有限元方法的收敛和准最优收敛率（2017 年，基于能量空间的狄利克雷边界控制问题的误差边界，数学综合，86,1103–1126）。理论结果通过数值实验进行说明。