A Weak Galerkin Finite Element Method for High Dimensional Time-fractional Diffusion Equation

作者:

Highlights:

• We have provided comparison of CPU time for the standard WG-FEM and the fast WG-FEM in Table 4.

• All references have been updated.

• We have explained the super-convergence phenomena of ||∇w(eh)|| in the numerical experiments.

• We have re-phased the “a new application of WG-FEM” according to reviewer’s sugguestion.

• The definition of Pk(K) has been corrected.

• All minor mistakes pointed out by the reviewers have been corrected accordingly.

• A detailed response to reviewers is attached to the revised manuscript.

摘要

•We have provided comparison of CPU time for the standard WG-FEM and the fast WG-FEM in Table 4.•All references have been updated.•We have explained the super-convergence phenomena of ||∇w(eh)|| in the numerical experiments.•We have re-phased the “a new application of WG-FEM” according to reviewer’s sugguestion.•The definition of Pk(K) has been corrected.•All minor mistakes pointed out by the reviewers have been corrected accordingly.•A detailed response to reviewers is attached to the revised manuscript.

论文关键词:Time-fractional diffusion equation,Weak Galerkin finite element method,Error estimates,Fast computation

论文评审过程:Received 5 February 2020, Revised 1 July 2020, Accepted 5 July 2020, Available online 17 July 2020, Version of Record 17 July 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125524