Hyperelastic analysis based on a polygonal finite element method

On the Virtual Element Method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes

(2014) Arun L. Gain et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes

(2014) Chunmei Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Convergence and accuracy of displacement based finite element formulations over arbitrary polygons: Laplace interpolants, strain smoothing and scaled boundary polygon formulation

(2014) Sundararajan Natarajan et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

Polygonal finite elements for finite elasticity

(2014) Heng Chi et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

New perspectives on polygonal and polyhedral finite element methods

(2014) Gianmarco Manzini et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Gradient Bounds for Wachspress Coordinates on Polytopes

(2014) Michael Floater et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons

(2013) N. Sukumar   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Polygonal finite element methods for contact-impact problems on non-conformal meshes

(2013) S.O.R. Biabanaki et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A two-dimensional base force element method using concave polygonal mesh

(2013) Yijiang Peng et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Polygonal finite elements for incompressible fluid flow

(2013) Cameron Talischi et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

FREE AND FORCED VIBRATION ANALYSIS USING THE n-SIDED POLYGONAL CELL-BASED SMOOTHED FINITE ELEMENT METHOD (nCS-FEM)

(2013) T. NGUYEN-THOI et al.   International Journal of Computational Methods

Error estimates for generalized barycentric interpolation

(2011) Andrew Gillette et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

A polygonal finite element method for modeling arbitrary interfaces in large deformation problems

(2011) S. O. R. Biabanaki et al.   COMPUTATIONAL MECHANICS

A novel virtual node method for polygonal elements

(2009) Xu-hai Tang et al.   APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions

(2009) Hong Xiao et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping

(2009) Sundararajan Natarajan et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Numerical integration over polygons using an eight-node quadrilateral spline finite element

(2009) Chong-Jun Li et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The Adaptive Delaunay Tessellation: a neighborhood covering meshing technique

(2008) Alexandru Constantiniu et al.   COMPUTATIONAL MECHANICS

General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, I: Combinatorial Properties

(2008) Jonathan Richard Shewchuk   DISCRETE & COMPUTATIONAL GEOMETRY

Analysis of Cosserat materials with Voronoi cell finite element method and parametric variational principle

(2007) H.W. Zhang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Asymmetric cubature formulas for polynomial integration in the triangle and square

(2007) Mark A. Taylor   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS