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 wi...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.展开更多
基金supported by National Natural Science Foundation of China(Grant No.11671390)supported by National Natural Science Foundation of China(Grant No.11371359)
文摘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.
