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A displacement-based finite element formulation for general polyhedra using harmonic shape functions: FINITE ELEMENT FORMULATION FOR GENERAL POLYHEDRA

Journal Article · · International Journal for Numerical Methods in Engineering
DOI:https://doi.org/10.1002/nme.4562· OSTI ID:1384406
 [1]
  1. Computational Structural Mechanics Department, Engineering Sciences Center, Sandia National Laboratories, Albuquerque NM 87185-0372 USA
Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Center for Frontiers of Subsurface Energy Security (CFSES)
Sponsoring Organization:
USDOE SC Office of Basic Energy Sciences (SC-22)
DOE Contract Number:
SC0001114
OSTI ID:
1384406
Journal Information:
International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Journal Issue: 1 Vol. 97; ISSN 0029-5981
Publisher:
Wiley
Country of Publication:
United States
Language:
English

References (20)

Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons journal December 2010
A new discretization methodology for diffusion problems on generalized polyhedral meshes journal August 2007
A Family of Mimetic Finite Difference Methods on Polygonal and Polyhedral Meshes journal October 2005
Elasticity book January 2010
Simulating the pervasive fracture of materials and structures using randomly close packed Voronoi tessellations journal March 2009
Developments in Cartesian cut cell methods journal January 2003
A mimetic discretization method for linear elasticity journal January 2010
Symmetric gaussian quadrature formulae for tetrahedronal regions journal May 1984
Consistent pseudo-derivatives in meshless methods journal July 1997
Polyhedral Finite Elements Using Harmonic Basis Functions journal July 2008
The meshless finite element method: THE MESHLESS FINITE ELEMENT METHOD
  • Idelsohn, Sergio R.; Oñate, Eugenio; Calvo, Nestor
  • International Journal for Numerical Methods in Engineering, Vol. 58, Issue 6 https://doi.org/10.1002/nme.798
journal July 2003
Basic Principles of Virtual Element Methods journal November 2012
Maximum Entropy Coordinates for Arbitrary Polytopes journal July 2008
A Finite Element Method on Convex Polyhedra journal September 2007
A three-dimensional finite element method with arbitrary polyhedral elements journal January 2006
Barycentric coordinates for convex polytopes journal December 1996
A stabilized conforming nodal integration for Galerkin mesh-free methods journal January 2000
Virtual Elements for Linear Elasticity Problems journal January 2013
Gaussian quadrature formulas for triangles journal January 1973
Harmonic coordinates for character articulation journal July 2007

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