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] 070101[理学-基础数学] 

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 *** 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 *** 2014,Zhao et al.(2014)presented quadrilateral constraint-free finite element methods on quadrilateral grids with hanging *** 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 ***-based a posteriori error reliability and efficiency are also established in this paper.