论文标题
在Dörfler标记的阈值条件下
On the threshold condition for Dörfler marking
论文作者
论文摘要
如果阈值条件的阈值条件$θ<θ_\ star $对于Dörfler标记参数是必要的，那么这是一个空旷的问题。我们提出了一个（非PDE）示例拟合到常见的抽象收敛框架（适应性的公理）中，并可能与指数速率融合。但是，对于标记$θ>θ_\ star $的dörfler，代数收敛速率可以任意规模小。
It is an open question if the threshold condition $θ< θ_\star$ for the Dörfler marking parameter is necessary to obtain optimal algebraic rates of adaptive finite element methods. We present a (non-PDE) example fitting into the common abstract convergence framework (axioms of adaptivity) and which is potentially converging with exponential rates. However, for Dörfler marking $θ> θ_\star$ the algebraic converges rate can be made arbitrarily small.
