Finite Element Methods for Fractional PDEs in Three Dimensions
Numerical Analysis
2019-09-10 v3 Numerical Analysis
Abstract
This paper is a generalization of the previous work (Yang et.al, J. Comput. Phys. 330 (2017), 863-883) to the 3-D irregular convex domains. The analytical calculation formula of fractional derivatives of finite element basis functions are given and a path searching method is developed to find the integration paths corresponding to the Gaussian points. Moreover, a template matrix is introduced to speed up the procedures. Numerical experiments on a steady problem are presented verifying the efficiency of proposed techniques.
Cite
@article{arxiv.1811.03339,
title = {Finite Element Methods for Fractional PDEs in Three Dimensions},
author = {Zongze Yang and Zhanbin Yuan and Yufeng Nie and Jungang Wang},
journal= {arXiv preprint arXiv:1811.03339},
year = {2019}
}
Comments
7 pages, 3 figures