Fast implementation of FEM for integral fractional laplacian on rectangular meshes

• المؤلفون الرئيسيون: Sheng, Changtao, Wang, Li-Lian, Chen, Hongbin, Li, Huiyuan
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2025
• الموضوعات: Mathematical Sciences; Integral fractional Laplacian; Stiffness matrix with Toeplitz structure
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/182171

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...