Fast implementation of FEM for integral fractional laplacian on rectangular meshes

• Main Authors: Sheng, Changtao, Wang, Li-Lian, Chen, Hongbin, Li, Huiyuan
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2025
• Subjects: Mathematical Sciences; Integral fractional Laplacian; Stiffness matrix with Toeplitz structure
• Online Access: https://hdl.handle.net/10356/182171
• Institution: Nanyang Technological University

We show that the entries of the stiffness matrix, associated with the C0-piecewise linear finite element discretization of the hyper-singular integral fractional Laplacian (IFL) on rectangular meshes, can be simply expressed as one-dimensional integrals on a finite interval. Particularly, the FEM st...