Newton's algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:309

Article

Kim, Sang Dong¹  Lee, Eunjung²  Choi, Wonjoon² 

[1] Kyungpook Natl Univ, Dept Math, Daegu 702701, South Korea

[2] Yonsei Univ, Dept Computat Sci & Engn, Seoul 120749, South Korea

关键词: Newton's algorithm;    Initial guess;    The magnetohydrodynamic equations;   

DOI  :  10.1016/j.cam.2016.06.022

来源: Elsevier

【 摘 要 】

The magnetohydrodynamic equations are second order nonlinear partial differential equations which are coupled by fluid velocity and magnetic fields and we consider to apply the Newton's algorithm to solve them. It is well known that the choice of a proper initial guess is critical to assure the convergence of Newton's iterations in solving nonlinear partial differential equations. In this paper, we provide a good initial guess for Newton's algorithm when it is applied for solving magnetohydrodynamic equations. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free