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预处理JFNK方法求解非平衡辐射扩散方程组(英文) 被引量:1

Preconditioned Jacobian-free Newton-Krylov Methods for Nonequilibrium Radiation Diffusion Equations
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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.
出处 《计算物理》 CSCD 北大核心 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)
关键词 非平衡辐射扩散 Newton-Krylov方法 线性化 预处理 nonequilibrium radiation diffusion Newton-Krylov method linearization preconditioning
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