On Hanging Node Constraints for Nonconforming Finite Elements using the Douglas--Santos--Sheen--Ye Element as an Example
From MaRDI portal
Publication:4976107
DOI10.1137/16M1071432zbMath1369.65142OpenAlexW2736164962MaRDI QIDQ4976107
Dongwoo Sheen, Jaeryun Yim, Imbunm Kim, Wolfgang Bangerth
Publication date: 27 July 2017
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1071432
finite element methodconstraintsadaptive meshesnonconforming elementshanging nodesconforming methodsDouglas-Santos-Sheen-Ye element
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonconforming quadrilateral finite elements: a correction
- A unifying theory of a posteriori error control for nonconforming finite element methods
- Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM
- Continuous Finite-Elements on Non-Conforming Grids Using Discontinuous Galerkin Stabilization
- Data structures and requirements for hp finite element software
- On a Data Structure for Adaptive Finite Element Mesh Refinements
- Simple nonconforming quadrilateral Stokes element
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
- A posteriori error estimators for nonconforming finite element methods
- A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element
- Piecewise $\mathbf {H^1}$ functions and vector fields associated with meshes generated by independent refinements
- A class of nonparametric DSSY nonconforming quadrilateral elements
- Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements
