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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（12）
• 页码范围: 2591-2616
• 页数: 26页
• 语种: 英文

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.