In this paper, a novel higher stabilization-free virtual element method is proposed for
compressible hyper-elastic materials in 2D. Different from the most traditional virtual element …

In this work, we present a first-order stabilization-free virtual element method (SFVEM) for
three-dimensional hyperelastic problems. Different from the conventional virtual element …

We present a higher order stabilization-free virtual element method applied to plane
elasticity problems. We utilize a serendipity approach to reduce the total number of degrees …

In this work, we develop a general high-order virtual element method for three-dimensional
linear and nonlinear elastic problems. Applications of the virtual element method (VEM) in …

We present a first-order stabilization-free virtual element method (VEM) for three-
dimensional linear elastic problems in this paper. VEM has been increasingly used in …

This work extends the smoothed finite elements method (S-FEM) to the use of arbitrarily
complicated meshes, including nonconvex polygonal meshes for the first time. A novel …

In this paper, an enhanced Virtual Element Method (VEM) formulation is proposed for plane
elasticity. It is based on the improvement of the strain representation within the element …

In this article, an n-sided polygonal smoothed finite element (nSFEM) is formulated for
dynamic analyses of nonlinear problems of visco-hyperelastic materials undergoing large …

We present the construction and application of a first order stabilization-free virtual element
method to problems in plane elasticity. Well-posedness and error estimates of the discrete …

The virtual element method is a lively field of research, in which considerable progress has
been made during the last decade and applied to many problems in physics and …