On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes

• Main Authors: Chen, Hongbin, Sheng, Changtao, Wang, Li-Lian
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2022
• 主題: Science::Mathematics; Integral Fractional Laplacian; Fractional Stiffness Matrix
• 在線閱讀: https://hdl.handle.net/10356/160942

We derive exact form of the piecewise-linear finite element stiffness matrix on general non-uniform meshes for the integral fractional Laplacian operator in one dimension, where the derivation is accomplished in the Fourier transformed space. With such an exact formulation at our disposal, we are ab...