On linearization and preconditioning for radiation diffusion coupled to material thermal conduction equations

被引：10

作者：

Feng, Tao ^{[1
,2
]}

An, Hengbin ^{[3
]}

Yu, Xijun ^{[3
]}

Li, Qin ^{[4
]}

Zhang, Rongpei ^{[2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230052, Peoples R China

[2] China Acad Engn Phys, Grad Sch, Beijing 100083, Peoples R China

[3] Inst Appl Phys & Computat Math, Natl Key Lab Computat Phys, Beijing 100094, Peoples R China

[4] Chinese Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 236卷

基金：

国家高技术研究发展计划(863计划); 中国国家自然科学基金;

关键词：

Radiation diffusion; Newton-Krylov method; JFNK; Preconditioning; NEWTON-KRYLOV METHOD; ACCURACY; SYSTEMS;

D O I：

10.1016/j.jcp.2012.11.012

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Jacobian-free Newton-Krylov (JFNK) method is an effective algorithm for solving large scale nonlinear equations. One of the most important advantages of JFNK method is that there is no necessity to form and store the Jacobian matrix of the nonlinear system when JFNK method is employed. However, an approximation of the Jacobian is needed for the purpose of preconditioning. In this paper, JFNK method is employed to solve a class of non-equilibrium radiation diffusion coupled to material thermal conduction equations, and two preconditioners are designed by linearizing the equations in two methods. Numerical results show that the two preconditioning methods can improve the convergence behavior and efficiency of JFNK method. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：28 / 40

页数：13

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