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Volumn 4, Issue 3-4, 2007, Pages 531-547

Conforming centroidal voronoi delaunay triangulation for quality mesh generation

Author keywords

Centroidal Voronoi tessellation; Conforming centroidal Voronoi Delaunay triangulation; Delaunay triangulation; Mesh generation

Indexed keywords


EID: 39549119675     PISSN: 17055105     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (30)

References (33)
  • 2
    • 15944388561 scopus 로고    scopus 로고
    • P. ALLIEZ, T.C. DE VERDIERE, O. DEVILLERS O, AND M. ISENGURG, Centroidal Voronol diagrams for isotropic surface remeshing, GRAPHICAL MODELS 67, pp. 204-231, 2005.
    • P. ALLIEZ, T.C. DE VERDIERE, O. DEVILLERS O, AND M. ISENGURG, Centroidal Voronol diagrams for isotropic surface remeshing, GRAPHICAL MODELS 67, pp. 204-231, 2005.
  • 3
    • 0024685928 scopus 로고
    • Automatic mesh generation for complex three-dimensional regions using a constrained Delaunay triangulation
    • T. BAKER, Automatic mesh generation for complex three-dimensional regions using a constrained Delaunay triangulation, Engrg. Comp. 5, pp. 161-175, 1989.
    • (1989) Engrg. Comp , vol.5 , pp. 161-175
    • BAKER, T.1
  • 5
    • 0029415989 scopus 로고
    • Fast Delaunay triangulation in three dimensions
    • H. BOROUCHAKI AND S. LO, Fast Delaunay triangulation in three dimensions, Comp. Meth. Appl. Mech. Engrg. 128, pp. 153-167, 1995.
    • (1995) Comp. Meth. Appl. Mech. Engrg , vol.128 , pp. 153-167
    • BOROUCHAKI, H.1    LO, S.2
  • 6
    • 0141457780 scopus 로고    scopus 로고
    • Multigrid methods for the computation of singular solutions and stress intensity factors III: Interface singularities
    • S. BRENNER AND L.-Y. SUNG, Multigrid methods for the computation of singular solutions and stress intensity factors III: Interface singularities, Comp. Meth. Appl. Mech. Engrg. 192, pp. 4687-4702, 2003.
    • (2003) Comp. Meth. Appl. Mech. Engrg , vol.192 , pp. 4687-4702
    • BRENNER, S.1    SUNG, L.-Y.2
  • 7
    • 3042755624 scopus 로고    scopus 로고
    • L. CHEN AND J. XU, Optimal Delaunay triangulation, J. Comp. Math. 22, pp. 299-308, 2004.
    • L. CHEN AND J. XU, Optimal Delaunay triangulation, J. Comp. Math. 22, pp. 299-308, 2004.
  • 9
    • 33645360260 scopus 로고    scopus 로고
    • Acceleration schemes for the computation of centroidal Voronoi tessellations
    • in press
    • Q. DU AND M. EMELIANENKO, Acceleration schemes for the computation of centroidal Voronoi tessellations, Numerical Linear Algebra and Application, in press, 2006.
    • (2006) Numerical Linear Algebra and Application
    • DU AND, Q.1    EMELIANENKO, M.2
  • 10
    • 33847681941 scopus 로고    scopus 로고
    • Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations
    • Q. DU, M. EMELIANENKO, AND L. JU, Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations, SIAM J. Numer. Anal. 44, pp. 102-119, 2006.
    • (2006) SIAM J. Numer. Anal , vol.44 , pp. 102-119
    • DU, Q.1    EMELIANENKO, M.2    JU, L.3
  • 11
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellations: Applications and algorithms
    • Q. DU, V. FABER, AND M. GUNZBURGER, Centroidal Voronoi tessellations: Applications and algorithms, SIAM Review 41, pp. 637-676, 1999.
    • (1999) SIAM Review , vol.41 , pp. 637-676
    • DU, Q.1    FABER, V.2    GUNZBURGER, M.3
  • 12
    • 0037114113 scopus 로고    scopus 로고
    • Grid generation and optimization based on centroidal Voronoi tessellations
    • Q. DU AND M. GUNZBURGER, Grid generation and optimization based on centroidal Voronoi tessellations, Applied Math. Comptut. 133, pp. 591-607, 2002.
    • (2002) Applied Math. Comptut , vol.133 , pp. 591-607
    • DU AND, Q.1    GUNZBURGER, M.2
  • 13
    • 0042100528 scopus 로고    scopus 로고
    • Constrained centroidal Voronoi tessellations on general surfaces
    • Q. DU M. GUNZBURGER, AND L. JU, Constrained centroidal Voronoi tessellations on general surfaces, SIAM J. Sci. Comput. 24, pp. 1488-1506, 2003.
    • (2003) SIAM J. Sci. Comput , vol.24 , pp. 1488-1506
    • GUNZBURGER, Q.D.M.1    JU, L.2
  • 14
    • 0042424790 scopus 로고    scopus 로고
    • Voronoi-based finite volume methods, optimal Voronoi meshes and PDEs on the sphere
    • Q. DU, M. GUNZBURGER, AND L. JU, Voronoi-based finite volume methods, optimal Voronoi meshes and PDEs on the sphere, Comp. Meth. Appl. Mech. Engrg. 192, pp. 3933-3957, 2003.
    • (2003) Comp. Meth. Appl. Mech. Engrg , vol.192 , pp. 3933-3957
    • DU, Q.1    GUNZBURGER, M.2    JU, L.3
  • 15
    • 0037423969 scopus 로고    scopus 로고
    • Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations
    • Q. DU AND D. WANG, Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations, Int. J. Numer. Methods Engrg. 56, pp. 1355-1373, 2003.
    • (2003) Int. J. Numer. Methods Engrg , vol.56 , pp. 1355-1373
    • DU AND, Q.1    WANG, D.2
  • 16
    • 8344280878 scopus 로고    scopus 로고
    • Q. DU AND D. WANG, Constrained boundary recovery for 3D Delaunay triangulations, Int. J. Num. Method. In. Eng. 61, pp. 1471-1500, 2004.
    • Q. DU AND D. WANG, Constrained boundary recovery for 3D Delaunay triangulations, Int. J. Num. Method. In. Eng. 61, pp. 1471-1500, 2004.
  • 17
    • 19644365876 scopus 로고    scopus 로고
    • Anisotropic centroidal Voronoi tessellations and their applications
    • Q. DU AND D. WANG, Anisotropic centroidal Voronoi tessellations and their applications, SIAM. J. Sci. Comput. 26, pp. 737-761, 2005.
    • (2005) SIAM. J. Sci. Comput , vol.26 , pp. 737-761
    • DU AND, Q.1    WANG, D.2
  • 19
    • 0024105978 scopus 로고
    • Laplacian smoothing and Delaunay triangulation
    • D. FIELD, Laplacian smoothing and Delaunay triangulation, Comm. Appl. Numer. Methods 4, pp. 709-712, 1988.
    • (1988) Comm. Appl. Numer. Methods , vol.4 , pp. 709-712
    • FIELD, D.1
  • 20
    • 0034135277 scopus 로고    scopus 로고
    • Quantitative measures for initial meshes
    • D. FIELD, Quantitative measures for initial meshes, Int. J. Numer. Methods Engrg. 47, pp. 887-906, 2000.
    • (2000) Int. J. Numer. Methods Engrg , vol.47 , pp. 887-906
    • FIELD, D.1
  • 22
    • 0036787154 scopus 로고    scopus 로고
    • Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations
    • L. JU, Q. DU, AND M. GUNZBURCER, Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations, Parallel Comput. 28, pp. 1477-1500, 2002.
    • (2002) Parallel Comput , vol.28 , pp. 1477-1500
    • JU, L.1    DU, Q.2    GUNZBURCER, M.3
  • 23
    • 50049129611 scopus 로고    scopus 로고
    • Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi Delaunay triangulations
    • submitted
    • L. JU, M. GUNZBURGER, AND W.D. ZHAO, Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi Delaunay triangulations, submitted, 2005.
    • (2005)
    • JU, L.1    GUNZBURGER, M.2    ZHAO, W.D.3
  • 24
    • 0020102027 scopus 로고
    • Least squares quantization in PCM
    • S. LLOYD, Least squares quantization in PCM, IEEE Trans. Infor. Theory 28, pp. 129-137, 1982.
    • (1982) IEEE Trans. Infor. Theory , vol.28 , pp. 129-137
    • LLOYD, S.1
  • 25
    • 0024103736 scopus 로고
    • Generation of three-dimensional unstructured grids by the advancing-front method
    • R. LOHNER AND P. PARIKH, Generation of three-dimensional unstructured grids by the advancing-front method, Int. J. Num. Meth. Fluid 8, pp. 1135-1149, 1988.
    • (1988) Int. J. Num. Meth. Fluid , vol.8 , pp. 1135-1149
    • LOHNER, R.1    PARIKH, P.2
  • 26
    • 50049134883 scopus 로고    scopus 로고
    • J. MACQUEEN, Some methods for classification and analysis of multivariate observations, Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability, I, Ed. by L. Le Cam and J. Neyman, University of California, pp. 281-297, 1967.
    • J. MACQUEEN, Some methods for classification and analysis of multivariate observations, Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol I, Ed. by L. Le Cam and J. Neyman, University of California, pp. 281-297, 1967.
  • 27
    • 0029408919 scopus 로고
    • On advancing front mesh generation in three dimensions
    • P. MOLLER AND P. HANSBO, On advancing front mesh generation in three dimensions, Int. J. Num. Meth. Engrg. 38, pp. 3551-3569, 1995.
    • (1995) Int. J. Num. Meth. Engrg , vol.38 , pp. 3551-3569
    • MOLLER, P.1    HANSBO, P.2
  • 28
    • 3142698698 scopus 로고    scopus 로고
    • A simple mesh generator in Matlab
    • P.-O. PERSSON AND G. STRANG, A simple mesh generator in Matlab, SIAM Review 46, pp. 329-345, 2004.
    • (2004) SIAM Review , vol.46 , pp. 329-345
    • PERSSON, P.-O.1    STRANG, G.2
  • 29
    • 0026220618 scopus 로고
    • Automatic three-dimensional mesh generation technique by the finite element octree technique
    • M. SHEPHARD AND M. GEORGES, Automatic three-dimensional mesh generation technique by the finite element octree technique, Int. J. Num. Meth. Eng. 32, pp. 709-749, 1991.
    • (1991) Int. J. Num. Meth. Eng , vol.32 , pp. 709-749
    • SHEPHARD, M.1    GEORGES, M.2
  • 30
    • 84940605935 scopus 로고    scopus 로고
    • Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator
    • Springer, New York, pp
    • J. SHEWCHUK, Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator, Lecture Notes in Comput. Sci. 1148, Springer, New York, pp. 203-222, 1996.
    • (1996) Lecture Notes in Comput. Sci , vol.1148 , pp. 203-222
    • SHEWCHUK, J.1
  • 31
    • 0038014823 scopus 로고    scopus 로고
    • What is a good linear element? Interpolation, conditioning and quality measures
    • Sandia National Laboratories, Albuquerque, pp
    • J. SHEWCHUK, What is a good linear element? Interpolation, conditioning and quality measures, Proceedings of the 11th International Meshing Roundtable, Sandia National Laboratories, Albuquerque, pp. 115-126, 2002.
    • (2002) Proceedings of the 11th International Meshing Roundtable , pp. 115-126
    • SHEWCHUK, J.1
  • 33
    • 0028447010 scopus 로고
    • Efficient three dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints
    • N. WEATHERILL AND O. HASSAN, Efficient three dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints, Int. J. Num. Meth. Eng. 37, pp. 2005-2039, 1994.
    • (1994) Int. J. Num. Meth. Eng , vol.37 , pp. 2005-2039
    • WEATHERILL, N.1    HASSAN, O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.