Yu Bo
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磁场与流场耦合问题中Newton-Laphson方法的收敛性分析
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Indexed by:期刊论文

Date of Publication:2011-11-25

Journal:计算物理

Included Journals:PKU、ISTIC、CSCD、EI、Scopus

Volume:28

Issue:6

Page Number:835-842

ISSN No.:1001-246X

Key Words:耦合问题;磁场与流场;有限体积法;局部收敛;Newton-Laphson方法

Abstract:针对磁场与流场耦合问题的数值分析,提出并证明求解离散化过程所得到的非线性方程组牛顿-拉夫逊方法的一类局部收敛性条件.这一条件不仅给出了时间步长与空间步长、拟压缩因子等之间的关系,而且为数值求解磁场与流场耦合问题的牛顿-拉夫逊方法收敛性提供了理论依据.数值算例表明时间步长的实际取值要比理论值偏大.

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Gender:Male

Alma Mater:吉林大学

Degree:Doctoral Degree

School/Department:数学科学学院

Discipline:Computational Mathematics. Financial Mathematics and Actuarial Science

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