We present a general virtual element method (VEM) framework for finite elasticity, which
emphasizes two issues: element-level volume change (volume average of the determinant …

Point-cloud-based geometry acquisition techniques have seen an increased deployment in
recent years and can be used in many branches of science and engineering. Different from …

While the literature on numerical methods (eg finite elements and, to a certain extent, virtual
elements) concentrates on convex elements, there is a need to probe beyond this limiting …

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 …

A Reissner-Mindlin plate formulation on arbitrary polygonal meshes is proposed for plate
analysis. We consider four barycentric shape function types named Wachspress, mean …

We present a virtual element method (VEM)-based topology optimization framework using
polyhedral elements, which allows for convenient handling of non-Cartesian design …

In recent years, polygonal and polyhedral finite elements have gained much interest from
researchers as an alternative approach for discretizing complicated domains. Findings to …

A hexahedral-dominant finite element mesh can be easily constructed by cutting regular
hexahedral elements in a simple block with CAD surfaces representing outer surfaces of a …

This paper summarizes the development of Veamy, an object-oriented C++ library for the
virtual element method (VEM) on general polygonal meshes, whose modular design is …

Recent studies have demonstrated that polygonal elements possess great potential in the
study of nonlinear elastic materials under finite deformations. On the one hand, these …