This paper provides brief review on polygonal/polyhedral finite elements. Various techniques, together with their advantages and disadvantages, are listed. A comparison of various techniques with the recently proposed Virtual Node Polyhedral Element (VPHE) is also provided. This review would help the readers to understand the various techniques used in formation of polygonal/polyhedral finite elements
Hybrid finite element formulations in combination with Voronoi-cell-based discretisation methods can...
Wicke M, Botsch M, Gross M. A Finite Element Method on Convex Polyhedra. Computer Graphics Forum (Eu...
In this work we present polygonal finite element method (Poly-FEM) for the analysis of two dimension...
The method presented in this work is a 3-dimensional polyhedral finite element (3D PFEM) based on vi...
Computational structural analysis, primarily the finite element method (FEM), has been widely applie...
We show both theoretically and numerically a connection between the smoothed finite element method (...
Naturally evolving Voronoi discretisation of two-dimensional plane domains renders representative mi...
We show both theoretically and numerically a connection between the smoothed finite element method (...
Generalized barycentric coordinates such as Wachspress and mean value coordinates have been used in ...
Among Numerical Methods for PDEs, the Virtual Element Methods were introduced recently in order to a...
Martin S, Kaufmann P, Botsch M, Wicke M, Gross M. Polyhedral Finite Elements Using Harmonic Basis Fu...
Due to its unique and intriguing properties, polygonal and polyhedral discretization is an emerging ...
We start with a brief introduction to the conforming finite element method on polygonal/polyhedral m...
In recent years, the numerical treatment of boundary value problems with the help of polygonal and p...
In recent years, the numerical treatment of boundary value problems with the help of polygonal and p...
Hybrid finite element formulations in combination with Voronoi-cell-based discretisation methods can...
Wicke M, Botsch M, Gross M. A Finite Element Method on Convex Polyhedra. Computer Graphics Forum (Eu...
In this work we present polygonal finite element method (Poly-FEM) for the analysis of two dimension...
The method presented in this work is a 3-dimensional polyhedral finite element (3D PFEM) based on vi...
Computational structural analysis, primarily the finite element method (FEM), has been widely applie...
We show both theoretically and numerically a connection between the smoothed finite element method (...
Naturally evolving Voronoi discretisation of two-dimensional plane domains renders representative mi...
We show both theoretically and numerically a connection between the smoothed finite element method (...
Generalized barycentric coordinates such as Wachspress and mean value coordinates have been used in ...
Among Numerical Methods for PDEs, the Virtual Element Methods were introduced recently in order to a...
Martin S, Kaufmann P, Botsch M, Wicke M, Gross M. Polyhedral Finite Elements Using Harmonic Basis Fu...
Due to its unique and intriguing properties, polygonal and polyhedral discretization is an emerging ...
We start with a brief introduction to the conforming finite element method on polygonal/polyhedral m...
In recent years, the numerical treatment of boundary value problems with the help of polygonal and p...
In recent years, the numerical treatment of boundary value problems with the help of polygonal and p...
Hybrid finite element formulations in combination with Voronoi-cell-based discretisation methods can...
Wicke M, Botsch M, Gross M. A Finite Element Method on Convex Polyhedra. Computer Graphics Forum (Eu...
In this work we present polygonal finite element method (Poly-FEM) for the analysis of two dimension...