预处理JFNK方法求解非平衡辐射扩散方程组(英文)  

Preconditioned Jacobian-free Newton-Krylov Methods for Nonequilibrium Radiation Diffusion Equations

作　　者：冯涛[1,2] 蔚喜军[3] 安恒斌[3] 张荣培[2] 

机构地区：[1]中国科学技术大学数学科学学院,合肥230052 [2]中国工程物理研究院研究生部,北京100088 [3]北京应用物理与计算数学研究所计算物理实验室,北京100094

出　　处：《计算物理》2013年第4期483-490,共8页Chinese Journal of Computational Physics

基　　金：Supported by National Natural Science Foundation of China(11171039,11171038,11271054);National Basic Research Program of China(2011CB309702,2011CB309703);Science Foundation of CAEP(2012B0202026,2010A0202010);Foundation of National Key Laborotory of Science and Technology on Computation Physics and Defence Industrial Technology Development Program(B1520110011)

摘　　要：分别采用四种半隐式离散方法构造预处理.针对一维辐射扩散方程组,采用预处理的Jacobian-free Newton-Krylov(PJFNK)求解.数值结果表明预处理方法能够很好地改进JFNK方法的收敛行为.Four semi-implicit discretization schemes are used to construct preconditioners. And preconditioned Jacobian-free Newton- Krylov （JFNK） are presented to solve one-dimensional problems. Numerical results show that the preconditioning methods improve the convergence behavior of JFNK method dramatically.

关 键 词：非平衡辐射扩散 Newton-Krylov方法 线性化 预处理 

分 类 号：O241.7[理学—计算数学]