论文标题
FEM的局部融合对于整体分数拉普拉斯
Local convergence of the FEM for the integral fractional Laplacian
论文作者
论文摘要
我们规定了对本地$ H^1 $ norm和局部能量规范的适当子域的积分分数拉普拉斯尖锐局部错误估计的一阶离散量。我们的估计值具有局部最佳近似误差的形式，以及在弱规范中测得的全局误差。
We provide for first order discretizations of the integral fractional Laplacian sharp local error estimates on proper subdomains in both the local $H^1$-norm and the localized energy norm. Our estimates have the form of a local best approximation error plus a global error measured in a weaker norm.
