论文标题
积分分数拉普拉斯的两级误差估计
Two-level error estimation for the integral fractional Laplacian
论文作者
论文摘要
对于分数laplacian的单数积分定义，我们考虑了一种自适应有限元方法，该方法通过两级误差指标指导。对于该算法，我们在两个空间维度和三个空间维度上显示线性收敛，以及在2D中使用最佳代数速率的算法收敛，当使用最新的顶点分配进行网格细化时。
For the singular integral definition of the fractional Laplacian, we consider an adaptive finite element method steered by two-level error indicators. For this algorithm, we show linear convergence in two and three space dimensions as well as convergence of the algorithm with optimal algebraic rates in 2D, when newest vertex bisection is employed for mesh refinement.
