Two types of finite element spaces on a tetrahedron are constructed for divdiv conforming
symmetric tensors in three dimensions. The key tools of the construction are the …

In this paper, we propose an efficient finite-element method based on dimension reduction
scheme to solve the fourth-order elliptic equation in a circular domain. First of all, by using …

In this paper, a novel spectral method is presented and studied for the fourth order problem
with mixed boundary in a cylindrical domain. The basic idea of our approach is to reduce the …

A finite element method is introduced to solve the general elastic multi-structure problem, in
which the displacements on bodies, the longitudinal displacements on plates and the …

A spectral‐Galerkin method based on Legendre‐Fourier approximation for fourth‐order
problems in cylindrical regions is studied in this paper. By the cylindrical coordinate …

With the introduction of numerical traces respectively related to the normal bending moment,
the twisting moment and the effective transverse shear force, and based on the Hermann …

This paper proposes a mixed variational formulation for the problem of two coupled plates
with a rigid {junction}. The proposed mixed {formulation} introduces {the union of} stresses …

This paper is intended to propose and analyze the lowest order conforming and
nonconforming virtual element methods (VEMs) for a nonhomogeneous double obstacle …

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 …

Some C0‐continuous time‐stepping finite element method is proposed for investigating
vibration analysis of elastic multi‐beam structures. In the time direction, the C0‐continuous …