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

Sang Dong Kim; Eunjung Lee; Wonjoon Choi

doi:10.1016/j.cam.2016.06.022

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

Sang Dong Kim, Eunjung Lee, Wonjoon Choi

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of Computational and Applied Mathematics
Volume	309
DOIs	https://doi.org/10.1016/j.cam.2016.06.022
Publication status	Published - 2017 Jan 1

Bibliographical note

Funding Information:
First author’s work was supported by basic science program through the National Research Foundation of Korea (NRF) under Grant Number 2013R1A1A4A01007411 . Second author’s work was supported by basic science research program through the NRF of Korea 2015R1D1A1A01056909 .

Publisher Copyright:
© 2016 Elsevier B.V.

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2016.06.022

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abstract = "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.",

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AU - Kim, Sang Dong

AU - Lee, Eunjung

AU - Choi, Wonjoon

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N2 - 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.

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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