-nonconforming tetrahedral and cuboid elements for the three-dimensional fourth order elliptic problem

H Chen, S Chen, Z Qiao - Numerische Mathematik, 2013 - Springer
In this paper, a theoretical framework is constructed on how to develop C^ 0-nonconforming
elements for the fourth order elliptic problem. By using the bubble functions, a simple …

[HTML][HTML] New error estimates of the Morley element for the plate bending problems

M Li, X Guan, S Mao - Journal of Computational and Applied Mathematics, 2014 - Elsevier
In this paper, we derive some new error estimates of a nonconforming Morley element for
the plate bending problems. Our aim is fourfold, first, it shows that the consistency error of …

Eigenvalue approximations from below using Morley elements

Y Yang, Q Lin, H Bi, Q Li - Advances in Computational Mathematics, 2012 - Springer
Rannacher discovered by numerical results that the Morley element eigenvalues could
approximate the exact eigenvalues from below. This discovery is very important in …

A Locking-Free and Reduction-Free Conforming Finite Element Method for the Reissner-Mindlin Plate on Rectangular Meshes

S Zhang, Z Zhang - Communications on Applied Mathematics and …, 2024 - Springer
A family of conforming finite elements are designed on rectangular grids for solving the
Reissner-Mindlin plate equation. The rotation is approximated by C 1-Q k+ 1 in one direction …

An isoparametric mixed finite element method for approximating a class of fourth-order elliptic problem

Z Liu, S Song - Computers & Mathematics with Applications, 2021 - Elsevier
A Ciarlet-Raviart type isoparametric mixed finite element method (MFEM) is constructed and
analyzed for solving a class of fourth-order elliptic equation with Navier boundary condition …

C 0-Nonconforming Triangular Prism Elements for the Three-Dimensional Fourth Order Elliptic Problem

HR Chen, SC Chen, ZH Qiao - Journal of Scientific Computing, 2013 - Springer
In this paper, using the bubble functions, we construct two C 0-nonconforming triangular
prism elements for the fourth order elliptic problem in three dimensions. By the abstract …

A lumped mass finite element method for vibration analysis of elastic plate-plate structures

JJ Lai, JG Huang, ZC Shi - Science China Mathematics, 2010 - Springer
The fully discrete lumped mass finite element method is proposed for vibration analysis of
elastic plate-plate structures. In the space directions, the longitudinal displacements on …

Vibration solutions of rectangular orthotropic plates by symplectic geometry method

XF Hu, WA Yao, ZX Fang, ZY Cai - The IES Journal Part A: Civil & …, 2012 - Taylor & Francis
Past researchers have treated the vibration problem of rectangular orthotropic Kirchhoff
plates by using the semi-inverse method with trial functions which, however, do not always …

An efficient finite element method and error analysis for fourth order problems in a spherical domain

N Peng, J Han, J An - Discrete and Continuous Dynamical Systems …, 2022 - aimsciences.org
An efficient finite element method for the fourth order problems in a spherical domain will be
solved in this paper. Initially, we derive the necessary pole conditions with the intention of …

[PDF][PDF] A finite element method for vibration analysis of elastic plate-plate structures

J Lai, J Huang - Discrete Contin. Dyn. Syst. Ser. B, 2009 - researchgate.net
The semi and fully discrete finite element methods are proposed for investigating vibration
analysis of elastic plate-plate structures. In the space directions, the longitudinal …