This paper is an overview of recent developments in the construction of finite element
interpolants, which are C 0-conforming on polygonal domains. In 1975, Wachspress …

Karhunen-Loève expansion and snapshot POD are based on principal component analysis
of series of data. They provide basis vectors of the subspace spanned by the data. All the …

This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …

The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …

In this paper, conforming finite elements on polygon meshes are developed. Polygonal finite
elements provide greater flexibility in mesh generation and are better‐suited for applications …

We develop and analyse a new family of virtual element methods on unstructured polygonal
meshes for the diffusion problem in primal form, which uses arbitrarily regular discrete …

This paper presents a new numerical integration technique on arbitrary polygonal domains.
The polygonal domain is mapped conformally to the unit disk using Schwarz–Christoffel …

In this work an improved meshless method is proposed, based on the combination of the
natural neighbour finite element method with the radial point interpolation method, the …

In this paper, the quadtree data structure and conforming polygonal interpolants are used to
develop an h-adaptive finite element method. Quadtree is a hierarchical data structure that is …

The main purpose of this paper is to analyze buckling and post-buckling behavior of porous
functionally graded (FG) beams and sandwich beams using a new efficient optimal mesh …