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

作     者：Xuying Zhao Zhong-Ci Shi 

作者机构：LSECInstitute of Computational Mathematics and Scientific/Engineering ComputingNCMISAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of Mathematical SciencesCapital Normal UniversityBeijing 100048China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2019年第62卷第12期

页      面：2591-2616页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant No.11671390) supported by National Natural Science Foundation of China(Grant No.11371359) 

主　　题：adaptive finite element a posteriori error estimate hexahedral nonconforming element hangingnode 

摘      要：Nonconforming grids with hanging nodes are frequently used in adaptive finite element comput at ions.In all earlier works on such methods,proper cons train ts 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.