Indexed by:
Abstract:
This paper focuses on the stability and convergence analysis of the first-order Euler implicit/explicit scheme based on mixed finite element approximation for three-dimensional (3D) time-dependent MHD equations. Firstly, for initial data u(0), B-0 is an element of H-alpha with alpha = 1, 2, the regularity results of the continuous solution (u, p, B) and the spatial semi-discretization solution (u(h), p(h), B-h) are obtained, and L-2-error estimate of (u(h), B-h) is deduced by using the negative norm technique. Next, through the use of mathematic induction, the H-2-stability of the fully discrete first-order scheme is proved under the stability condition depending on the smoothness of initial data. Here, the stability condition is Delta t <= C-0 for alpha = 2 and Delta th(-1/2) <= C-0 for alpha = 1where C-0 is some positive constant. Then, under the stability condition, the optimal H-1-L-2 error estimate of the fully discrete solution (u(h)(n), B-h(n)) and optimal L-2-error estimate of the fully discrete solution p(h)(n) are established by using the parabolic dual argument.
Keyword:
Reprint Author's Address:
Email:
Source :
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
ISSN: 0219-8762
Year: 2018
Issue: 1
Volume: 15
1 . 2 2 1
JCR@2018
2 . 1 9 3
JCR@2020
ESI Discipline: ENGINEERING;
ESI HC Threshold:108
JCR Journal Grade:3
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 8
SCOPUS Cited Count: 8
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 5
Affiliated Colleges: