Three‐dimensional quadratic nonconforming brick element
DOI10.1002/num.21801zbMath1355.65158arXiv1301.6860OpenAlexW2101630217MaRDI QIDQ2874170
Sihwan Kim, Dongwoo Sheen, Zhao-Liang Meng, Zhong-xuan Luo
Publication date: 29 January 2014
Published in: Journal of Computational and Applied Mathematics, Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.6860
convergence analysisnonconforming elementbrick elementpatch testsecond-order elliptic problemSmith-Kidger elementquadratic nonconforming element14-point element
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension
- Nonconforming finite element methods on quadrilateral meshes
- A new a priori error estimate of nonconforming finite element methods
- The serendipity family of finite elements
- A rotated nonconforming rectangular mixed element for elasticity
- A three-dimensional quadratic nonconforming element
- Efficient solvers for incompressible flow problems. An algorithmic and computational approach
- Nonconforming finite element methods
- Nonconforming quadrilateral finite elements: a correction
- A locking-free nonconforming finite element method for planar linear elasticity
- A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations
- The Morley element for fourth order elliptic equations in any dimensions
- Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions
- Three‐dimensional quadratic nonconforming brick element
- NONCONFORMING MIXED ELEMENTS FOR ELASTICITY
- An explicit analysis of Stummel's patch test examples
- Topology optimization using non-conforming finite elements: three-dimensional case
- Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity
- A non-conforming piecewise quadratic finite element on triangles
- The F-E-M-Test for Convergence of Nonconforming Finite Elements
- The Generalized Patch Test
- Nonconforming Finite Element Methods for the Equations of Linear Elasticity
- Simple nonconforming quadrilateral Stokes element
- Linear Finite Element Methods for Planar Linear Elasticity
- Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity
- Nonconforming finite element approximation of crystalline microstructure
- P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
- Checkerboard-free topology optimization using non-conforming finite elements
- Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
- NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE
- A MIXED NONCONFORMING FINITE ELEMENT FOR THE ELASTICITY AND STOKES PROBLEMS
- Analysis of a class of nonconforming finite elements for crystalline microstructures
- A piecewiseP2-nonconforming quadrilateral finite element
- A new quadratic nonconforming finite element on rectangles
- Mapped finite elements on hexahedra. Necessary and sufficient conditions for optimal interpolation errors
This page was built for publication: Three‐dimensional quadratic nonconforming brick element
