Hexahedral constraint-free finite element method on meshes with hanging nodes

被引：0
作者：
Xuying Zhao [1 ,2 ]
Zhong-Ci Shi [1 ]
机构：
[1] LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing,NCMIS, Academy of Mathematics and Systems Science,Chinese Academy of Sciences
[2] School of Mathematical Sciences, Capital Normal University
来源：
Science China(Mathematics) | 2019年 / 62卷 / 12期
基金：
中国国家自然科学基金;
关键词：
adaptive finite element; a posteriori error estimate; hexahedral; nonconforming element; hanging node;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
Nonconforming grids with hanging nodes are frequently used in adaptive finite element computations. In all earlier works on such methods, proper constraints should be enforced on degrees of freedom on edges/faces with hanging nodes to keep continuity, which yield numerical computations much complicated.In 2014, Zhao et al.(2014) presented quadrilateral constraint-free finite element methods on quadrilateral grids with hanging nodes. This paper further develops a hexahedral constraint-free finite element method on hexahedral grids with hanging nodes, which is of greater challenge than the two-dimensional case. Residual-based a posteriori error reliability and efficiency are also established in this paper.
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页码：2591 / 2616
页数：26
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