论文标题
HP-FEM的指数收敛于1D中的积分分数Laplacian
Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D
论文作者
论文摘要
我们证明了与分析右侧的有限间隔内整体分数泊松问题解决方案的加权分析规律性。基于这种规律性的结果,我们证明了HP-FEM在几何边界精制的网格上的指数收敛。
We prove weighted analytic regularity for the solution of the integral fractional Poisson problem on bounded intervals with analytic right-hand side. Based on this regularity result, we prove exponential convergence of the hp-FEM on geometric boundary-refined meshes.