Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons

Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method

(2010) S.E. Mousavi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes

(2010) L. Beirão da Veiga et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Generalized Duffy transformation for integrating vertex singularities

(2009) S. E. Mousavi et al.   COMPUTATIONAL MECHANICS

Simulating the pervasive fracture of materials and structures using randomly close packed Voronoi tessellations

(2009) Joseph E. Bishop   COMPUTATIONAL MECHANICS

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

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

Mimetic finite difference method for the Stokes problem on polygonal meshes

(2009) L. Beirão da Veiga et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Polyhedral Finite Elements Using Harmonic Basis Functions

(2008) Sebastian Martin et al.   COMPUTER GRAPHICS FORUM

Polytope finite elements

(2007) P. Milbradt et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Quadrature rules for triangular and tetrahedral elements with generalized functions

(2007) David J. Holdych et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING