• Complex
  • Title
  • Author
  • Keyword
  • Abstract
  • Scholars
Search

Author:

Yang, Jinjin (Yang, Jinjin.) | He, Yinnian (He, Yinnian.)

Indexed by:

SCIE EI Scopus

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:

Euler implicit/explicit scheme H-2 or H-1 initial data MHD equations parabolic dual argument

Author Community:

  • [ 1 ] [Yang, Jinjin] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
  • [ 2 ] [He, Yinnian] Xi An Jiao Tong Univ, Sch Math & Stat, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R China
  • [ 3 ] [Yang, Jinjin]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
  • [ 4 ] [He, Yinnian]Xi An Jiao Tong Univ, Sch Math & Stat, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R China

Reprint Author's Address:

  • Xi An Jiao Tong Univ, Sch Math & Stat, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R China.

Show more details

Related Keywords:

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

FAQ| About| Online/Total:448/199583466
Address:XI'AN JIAOTONG UNIVERSITY LIBRARY(No.28, Xianning West Road, Xi'an, Shaanxi Post Code:710049) Contact Us:029-82667865
Copyright:XI'AN JIAOTONG UNIVERSITY LIBRARY Technical Support:Beijing Aegean Software Co., Ltd.