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The discontinuous Petrov-Galerkin method for one-dimensional compressible Euler equations in the Lagrangian coordinate
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：包头师范学院数学科学学院,内蒙古包头014030
  • 相关基金：Supported by the National Natural Science Foundation of China （11261035,11761054） ,the Program for Young Talents of Science and Technology in Universities of Inner Mongolia （NJYT-15-A07）, the Natural Science Foundation of Inner Mongolia （2015MS0108,2012MS0102）, the Science Research Foundation of Institute of Higher Education of Inner Mongolia （NJZZ12198,NJZZI6234,NJZZ16235）, the Program for Young Talents of Science and Technology in Baotou Teacher＇ College,the Program for Yinshan Scholar in Baotou Teacher＇ College
作者： 赵国忠[1], 蔚喜军[2], 郭鹏云[1]
关键词： 近似解析解, LANDAU-LIFSHITZ方程, 变分迭代方法, LAGRANGE乘子, approximate analytic solutions, Landau-Lifshitz equations, variational it-eration method, Lagrange multiplier
中文摘要：

Landau-Lifshitz方程可以用于描述连续铁磁体自旋场的发展进程.利用变分迭代方法得到了Landau-Lifshitz方程的近似解析解,并获得一个收敛于精确解的函数序列.变分迭代方法是基于Lagrange乘子的一种方法,其中Lagrange乘子可以通过变分理论最优识别.数值例子验证了该方法的可靠性和有效性,该方法还可以保持时间进化过程中的能量守恒.

英文摘要：

Landau-Lifshitz equations can be used to describe the relaxation process of the magnetization distri- bution in a ferromagnetic material, in this paper, the variational iteration method is applied to obtain approximate analytic solutions of Landau-Lifshitz equations. This method provides a sequence of functions which converges to the exact solution of the problem and is based on the use of Lagrange multiplier for identification of optimal value of parameter in a functional. Numerical examples show that the method is very reliable and efficient and can pre- serve the energy conservation in the time evolution process.

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期刊信息
  • 《中国物理B：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京 中关村 中国科学院物理研究所内
  • 邮编：100080
  • 邮箱：
  • 电话：010-82649026 82649519
  • 国际标准刊号：ISSN：1674-1056
  • 国内统一刊号：ISSN：11-5639/O4
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:406