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

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• 作者：Sang Dong Kim^a ; ^{skim@knu.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Eunjung Lee^b ; ^{eunjunglee@yonsei.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Wonjoon Choi^b ; ^{kgarrett0810@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Newton&rsquo ; s algorithm ; Initial guess ; The magnetohydrodynamic equations
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：1-10
• 全文大小：426 K

文摘

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.