On a new edge‐based gradient recovery technique
On a new edge‐based gradient recovery technique
复制标题
DOI：
10.1002/nme.4374
复制
发表时间：
2013-01
影响因子：
2.9
通讯作者：
B. Pouliot;M. Fortin;A. Fortin;E. Chamberland
中科院分区：
文献类型：
--
作者：
B. Pouliot;M. Fortin;A. Fortin;E. Chamberland
用于网格自适应的后验误差估计方法通常需要精确计算拉格朗日有限元解的梯度。误差估计的精度与恢复梯度的精度直接相关。因此，我们提出了一个简单的方法来评价线性拉格朗日有限元解的梯度，我们表明，它具有显着的优势，比现有的方法相同的顺序。所提出的方法需要一个全局线性系统的解决方案，可以解决一个预条件共轭梯度法。一个有趣的特点是，它不需要任何特殊的处理边界节点相反，经典的局部补丁恢复方法。版权所有© 2012约翰威利父子有限公司.
A posteriori error estimation methods for mesh adaptation often require an accurate computation of the gradient of a Lagrange finite element solution. The precision of the error estimation is directly related to the accuracy of the recovered gradient. We therefore present in this communication a simple method for the evaluation of the gradient of a linear Lagrange finite element solution, and we show that it has significant advantages over existing methods of the same order. The proposed method requires the solution of a global linear system that can be solved by a preconditioned conjugate gradient method. An interesting feature is that it does not require any special treatment for boundary nodes contrarily to classical local patch recovery methods. Copyright © 2012 John Wiley & Sons, Ltd.