粘弹性流体的牛顿迭代两重网格方法(英文)  

A Two-Grid Method Based on Newton Iteration for Viscoelastic Fluid Flow

作　　者：张运章[1,2] 侯延仁[1] 穆保英[1] 

机构地区：[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

出　　处：《工程数学学报》2012年第1期117-130,共14页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(10871156;11171269);the Inter-discipline Funds of Xi’an Jiaotong University(2009xjtujc30)

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.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.

关 键 词：两重网格 粘弹性流体 有限元 牛顿迭代 

分 类 号：O241.82[理学—计算数学]