For the two-dimensional (2D) linearly elastic shallow shell and clamped plate models, we
have provided the nonconforming finite element methods (FEMs) in a previous study …

Numerical corroboration of Koiter’s model for all the main types of linearly elastic shells in the
static case - Wangxi Duan, Paolo Piersanti, Xiaoqin Shen, Qian Yang, 2023 Skip to main …

Dealing with complex shell surfaces using the finite element method, we are often limited to
simple geometric meshes such as triangles and quadrangles and have to refine the meshes …

In this paper, the dynamic Koiter's model is discussed for the hyperbolic parabolic shell, ie,
the saddle surface as its middle surface. The numerical computation for this kind of shell is …

In this paper, we propose a conforming finite element method coupling penalty method for
the linearly elastic flexural shell to overcome computational difficulties. We start with …

In this paper, we provide the conforming virtual element method for a linear elastic clamped
plate model for the first time. Based on the different regularities of the three components of …

In this study, the dynamics of elliptic membrane shell model has been proposed and
discussed numerically for the first time. Firstly, we show that the solution of this model exists …

A shell whose height is far less than the minimum size covering the bottom is called the
shallow shell. As a branch of linear elastic shell, it is a special shell with large span and has …

In this paper we identify a set of two-dimensional variational inequalities governing the
displacement of a linearly elastic flexural shell subjected to a confinement condition …

In this paper we justify Koiter's model for linearly elastic generalised membrane shells of the
first kind subjected to remaining confined in a prescribed half-space. After showing that the …