Within the well‐known and highly effective finite element method for the computation of
approximate solutions of complex boundary value problems, we focus on the often‐called …

We present a novel family of C 1 quadrilateral finite elements, which define global C 1
spaces over a general quadrilateral mesh with vertices of arbitrary valency. The elements …

A new weak Galerkin finite element method is introduced and analyzed for the Reissner–
Mindlin plate model in the primary form (without introducing shear strain as an extra …

In this paper, we consider the approximation of the equations of linear elasticity in the case
when the body is an isotropic, homogeneous, linearly elastic plate. To describe the …

Abstract The family of Falk-Neilan P k finite elements, combined with the Argyris P k+ 1 finite
elements, solves the Reissner-Mindlin plate equation quasi-optimally and locking-free, on …

A Balancing Domain Decomposition Method by Constraints (BDDC) is constructed and
analyzed for the Reissner–Mindlin plate bending problem discretized with Mixed …

In this paper a finite element approximation of the free vibration of folded plates is studied.
Naghdi model, including bending, shear and membrane terms for the plate, is considered …

In this paper, we study thin viscoelastic shell structures using a constitutive equation in
hereditary integral form. An alternative mathematical formulations for several viscoelastic …

In this paper we analyze the numerical approximation of an active vibration control problem
of a Timoshenko beam. In order to avoid locking, we focus on the finite element method …

On a large class of two-dimensional anisotropic meshes, the inf-sup condition (stability) is
proved for the triangular and quadrilateral finite element pairs suggested by …