Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637678 | Journal of Computational and Applied Mathematics | 2017 | 17 Pages |
Abstract
This paper focuses on a fractional-step finite element method for the magnetohydrodynamics problems in three-dimensional bounded domains. It is shown that the proposed fractional-step scheme allows for a discrete energy identity. A rigorous error analysis is presented. We derive the temporal and spatial error estimates of O(Ît+h) for the velocity and the magnetic field in the discrete space l2(H1)â©lâ(L2) under the constraint Îtâ¥Ch.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rong An, Can Zhou,