References
- Floater, M.S. (2003) Mean Value Coordinates, Comput. Aided Geom. Des., 20, pp.19-27. https://doi.org/10.1016/S0167-8396(03)00002-5
- Gustafsson, B., Putinar, M. (1999) On Exact Quadrature Formulas for Harmonic Functions on Polyhedral, Proceedings of the American Mathematics Society, 128, pp.1427-1432.
- Idelsohn, S.R., Onate, E., Calvo, N., Pin, F.D. (2003) The Meshless Finite Element Method, International Journal for Numerical Methods in Engineering, 58, pp.893-912. https://doi.org/10.1002/nme.798
- Ju, T., Liepa, P., Warren, J. (2007) A General Geometric Construction of Coordinates in a Convex Simplicial Polytope, Computer Aided Geometric Design, 24, pp.161-178. https://doi.org/10.1016/j.cagd.2006.12.001
- Kim, H.G. (2002) Interface Element Method (IEM) for a Partitioned System with Non-Matching Interfaces, Computer Methods in Applied Mechanics and Engineering, 191, pp.3165-3194. https://doi.org/10.1016/S0045-7825(02)00255-4
- Kim, H.G. (2008) Development of Three-Dimensional Interface Elements for Coupling of Non-Matching Hexahedral Meshes, Computer Methods in Applied Mechanics and Engineering, 197, pp.3870-3882. https://doi.org/10.1016/j.cma.2008.03.023
- Mousavi, S.E., Sukumar, N. (2011) Numerical Integration of Polynomials and Discontinuous Functions on Irregular Convex Polygons and Polyhedrons, Computational Mechanics, 47, pp.535-554. https://doi.org/10.1007/s00466-010-0562-5
- Rashid, M.M., Sadri, A. (2012) The Partitioned Element Method in Computational Solid Mechanics, Computer Methods in Applied Mechanics and Engineering, 237-240, pp.152-165. https://doi.org/10.1016/j.cma.2012.05.014
- Rashid, M.M., Selimotic, M. (2006) A Three-Dimensional Finite Element Method with Arbitrary Polyhedral Elements, International Journal for Numerical Methods in Engineering, 67, pp.226-252. https://doi.org/10.1002/nme.1625
- Shepherd, J.F., Johnson, C.R. (2008) Hexahedral Mesh Generation Constraints, Engineering Computations, 24, pp.195-213. https://doi.org/10.1007/s00366-008-0091-4
- Si, H. (2007) Tetgen: a Quality Tetrahedral Mesh Generator and Three Dimensional Delaunay triangulation, Available from http://tetgen.berlios.de.
- Sohn, D., Cho, Y.-S., Im, S. (2012) A Novel Scheme to Generate Meshes with Hexahedral Elements and Poly-Pyramid Elements: The carving technique, Computer Methods in Applied Mechanics and Engineering, 201-204, pp.208-229. https://doi.org/10.1016/j.cma.2011.09.002
- Sudhakar, Y., Wall, W.A. (2013) Quadrature Schemes for Arbitrary Convex/concave Volumes and Integration of Weak form in Enriched Partition of Unity Methods, Computer Methods in Applied Mechanics and Engineering, 258, pp.39-54. https://doi.org/10.1016/j.cma.2013.01.007
- Sukumar N. Tabarraei, A. (2004) Conformal Polygonal Finite Elements, International Journal for Numerical Methods in Engineering, 61, pp.2045-2066. https://doi.org/10.1002/nme.1141
- Sukumar, N., Moran, B., Belytschko T. (1998) The Natural Element Method in Solid Mechanics, International Journal for Numerical Methods in Engineering, 43, pp.839-887. https://doi.org/10.1002/(SICI)1097-0207(19981115)43:5<839::AID-NME423>3.0.CO;2-R
- Tautges, T.J. (2001) The Generation of Hexahedral Meshes for Assembly Geometry: Survey and Progress, International Journal for Numerical Methods in Engineering, 50, pp.2617-2642. https://doi.org/10.1002/nme.139
- Wachspress, E.L. (1975) A Rational Finite Element Basis, Academic Press, New York.
- Warren, J. (1996) Barycentric Coordinates for Convex Polytopes, Advances in Computational Mathematics, 6, pp.97-108. https://doi.org/10.1007/BF02127699
- Wicke, M., Botsch, M., Gross, M. (2007) A Finite Element Method on Convex Polyhedral, Computer Graphics Forum (Eurographics), 26, pp.355-364. https://doi.org/10.1111/j.1467-8659.2007.01058.x
- Zhang, Y., Hughes, T.J.R., Bajaj, C.L. (2010) An Automatic 3D Mesh Generation Method for Domains with Multiple Materials, Computer Methods in Applied Mechanics and Engineering, 199, pp.405-415. https://doi.org/10.1016/j.cma.2009.06.007
Cited by
- Periodic Mesh Generation for Composite Structures using Polyhedral Finite Elements vol.27, pp.4, 2014, https://doi.org/10.7734/COSEIK.2014.27.4.239