Nonconforming elements in least-squares mixed finite element methods
Nonconforming elements in least-squares mixed finite element methods
复制标题
DOI：
10.1090/s0025-5718-03-01520-5
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Huoyuan Duan;G. Liang
中科院分区：
文献类型：
--
作者：
Huoyuan Duan;G. Liang
本文分析了二阶椭圆型问题一阶系统最小二乘混合模型的有限元离散化问题，分别用协调元和非协调元逼近位移和应力。此外，在任意的规则四边形，我们提出了新的变种的旋转Q1元和最低阶Raviart-Thomas元素。
In this paper we analyze the finite element discretization for the first-order system least squares mixed model for the second-order elliptic problem by means of using nonconforming and conforming elements to approximate displacement and stress, respectively. Moreover, on arbitrary regular quadrilaterals, we propose new variants of both the rotated Q1 nonconforming element and the lowest-order Raviart-Thomas element.