刊名:Journal of Computational and Applied Mathematics
出版年:2017
出版时间:15 March 2017
年:2017
卷:313
期:Complete
页码:168-184
全文大小:483 K
文摘
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(Δt+h) for the velocity and the magnetic field in the discrete space under the constraint Δt≥Ch.