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粘弹性流体的牛顿迭代两重网格方法
  • ISSN号：1005-3085
  • 期刊名称：《工程数学学报》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]西安交通大学数学与统计学院,西安710049, [2]河南科技大学数学与统计学院,洛阳471003
  • 相关基金：Foundation item： The National Natural Science Foundation of China （10871156; 11171269）; the Inter- discipline Funds of Xi＇an Jiaotong University （2009xjtujc30）.
作者： 张运章[1,2], 侯延仁[1], 穆保英[1]
关键词： 两重网格, 粘弹性流体, 有限元, 牛顿迭代, two-grid； viscoelastic fluid flow； finite elements； Newton iteration；
中文摘要：

对于非线性粘弹性流体,本文提出了一种有限元两重网格方法.该方法需要首先在粗网格上求解非线性问题,然后在细网格上求解两个线性问题.这两个线性问题具有相同的刚度矩阵,只是右端项不同.我们进一步给出了该方法的误差估计.数值算例验证了理论结论,并且验证了方法的有效性.

英文摘要：

We propose a two-grid method for resolving the nonlinearity in finite element approximation of viscoelastic fluid flow. The two-grid method involves solving one small, nonlinear system on the coarse mesh and two linear problems on the fine mesh. These two linear problems have the same stiffness matrix with only different right-hand sides. An error bound for the method is also derived. Numerical examples support the theoretical results and demonstrate the effectiveness of the proposed method.

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期刊信息
  • 《工程数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:西安交通大学
  • 主编：李大潜
  • 地址：西宁市咸宁西路28号西安交通大学数学与统计学院
  • 邮编：710049
  • 邮箱：jgsx@mail.xjtu.edu.cn
  • 电话：029-82667877
  • 国际标准刊号：ISSN：1005-3085
  • 国内统一刊号：ISSN：61-1269/O1
  • 邮发代号:
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  • 被引量:6741