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
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics; Integral Fractional Laplacian; Fractional Stiffness Matrix
• Online Access: https://hdl.handle.net/10356/160942
• Institution: Nanyang Technological University

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...