메뉴 건너뛰기




Volumn 26, Issue 1, 2000, Pages 148-171

Complexity and modeling aspects of mesh refinement into quadrilaterals

Author keywords

Bidirected flows; Computer aided design; Mesh decomposition; Mesh generation; NP completeness

Indexed keywords


EID: 0012489005     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004539910008     Document Type: Article
Times cited : (14)

References (27)
  • 1
    • 0023287446 scopus 로고
    • A polynomial algorithm for b-matching: An alternative approach
    • [A]
    • [A] R. P. Anstee, A polynomial algorithm for b-matching: an alternative approach, Information Processing Letters 24 (1987), 153-157.
    • (1987) Information Processing Letters , vol.24 , pp. 153-157
    • Anstee, R.P.1
  • 4
    • 0001914423 scopus 로고
    • Mesh generation and optimal triangulation
    • [BE] (D.-Z. Du and F. Hwang, eds.), World Scientific, Singapore
    • [BE] M. Bern and D. Eppstein, Mesh generation and optimal triangulation, in Computing in Euclidean Geometry, 2nd edition (D.-Z. Du and F. Hwang, eds.), World Scientific, Singapore, 1995, pp. 47-123.
    • (1995) Computing in Euclidean Geometry, 2nd Edition , pp. 47-123
    • Bern, M.1    Eppstein, D.2
  • 5
    • 0000679678 scopus 로고    scopus 로고
    • Mesh generation
    • [BP] J. Sack and J. Urrutia, eds., Elsevier, Amsterdam, to appear
    • [BP] M. Bern and P. Plassmann, Mesh generation, in Handbook of Computational Geometry (J. Sack and J. Urrutia, eds.), Elsevier, Amsterdam, 1997, to appear.
    • (1997) Handbook of Computational Geometry
    • Bern, M.1    Plassmann, P.2
  • 6
    • 0003015456 scopus 로고
    • A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis
    • +] Sandia National Laboratories, Albuquerque, NM
    • +] S. E. Benzley, E. Perry, K. Merkley, B. Clark, and G. Sjaardama, A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis, Proceedings of the 4th International Meshing Roundtable, Sandia National Laboratories, Albuquerque, NM, 1995, pp. 179-191.
    • (1995) Proceedings of the 4th International Meshing Roundtable , pp. 179-191
    • Benzley, S.E.1    Perry, E.2    Merkley, K.3    Clark, B.4    Sjaardama, G.5
  • 8
    • 0026982450 scopus 로고
    • A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis
    • [CK]
    • [CK] A. O. Cifuentes and A. Kalberg, A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis, Finite Elements in Analysis and Design 12 (1992), 313-318.
    • (1992) Finite Elements in Analysis and Design , vol.12 , pp. 313-318
    • Cifuentes, A.O.1    Kalberg, A.2
  • 10
    • 0347684511 scopus 로고
    • [E] Lecture Notes, University of Michigan, Ann Arbor, MI
    • [E] J. Edmonds, An Introduction to Matching, Lecture Notes, University of Michigan, Ann Arbor, MI, 1967.
    • (1967) An Introduction to Matching
    • Edmonds, J.1
  • 11
    • 77957089565 scopus 로고
    • [G] M. O. Ball et al., eds., Handbooks in Operations Research and Management Science, North-Holland, Amsterdam
    • [G] A. M. H. Gerards, Matching in Network Models (M. O. Ball et al., eds.), Handbooks in Operations Research and Management Science, vol. 7, North-Holland, Amsterdam, 1995, pp. 135-224.
    • (1995) Matching in Network Models , vol.7 , pp. 135-224
    • Gerards, A.M.H.1
  • 13
    • 0023842528 scopus 로고
    • Finite element mesh generation methods: A review and classification
    • [H]
    • [H] K. Ho-Le, Finite element mesh generation methods: a review and classification, Computer-Aided Design 20 (1988), 27-38.
    • (1988) Computer-Aided Design , vol.20 , pp. 27-38
    • Ho-Le, K.1
  • 14
    • 0029272711 scopus 로고
    • Quadrilateral mesh generation in polygonal regions
    • [J]
    • [J] B. Joe, Quadrilateral mesh generation in polygonal regions, Computer-Aided Design 27 (1995), 209-222.
    • (1995) Computer-Aided Design , vol.27 , pp. 209-222
    • Joe, B.1
  • 16
    • 0026908216 scopus 로고
    • On using meshes of mixed element types in adaptive finite element analyses
    • [LL]
    • [LL] S. H. Lo and C. K. Lee, On using meshes of mixed element types in adaptive finite element analyses, Finite Elements in Analysis and Design 11 (1992), 307-336.
    • (1992) Finite Elements in Analysis and Design , vol.11 , pp. 307-336
    • Lo, S.H.1    Lee, C.K.2
  • 18
    • 0008360515 scopus 로고    scopus 로고
    • High quality quadrilateral surface meshing without template restrictions: A new approach based on network flow techniques
    • [M2] Park City, UT
    • [M2] M. Müller-Hannemann, High quality quadrilateral surface meshing without template restrictions: a new approach based on network flow techniques, Proceedings of the Sixth International Meshing Roundtable, Park City, UT, 1997, pp. 293-307.
    • (1997) Proceedings of the Sixth International Meshing Roundtable , pp. 293-307
    • Müller-Hannemann, M.1
  • 19
    • 0031140214 scopus 로고    scopus 로고
    • Mesh refinement via bidirected flows: Modeling, complexity, and computational results
    • [MMW]
    • [MMW] R. H. Möhring, M. Müller-Hannemann, and K. Weihe, Mesh refinement via bidirected flows: modeling, complexity, and computational results, Journal of the ACM 44 (1997), 395-426.
    • (1997) Journal of the ACM , vol.44 , pp. 395-426
    • Möhring, R.H.1    Müller-Hannemann, M.2    Weihe, K.3
  • 21
    • 21744448103 scopus 로고    scopus 로고
    • Improved approximations for minimum cardinality quadrangulations of finite element meshes
    • [MW2] Fachbereich Mathematik, Technische Universität Berlin, available via anonymous ftp from ftp.math.tu-berlin.de; cd pub/Preprints/combi; file Report-559-1991.ps.Z;
    • [MW2] M. Müller-Hannemann and K. Weihe, Improved approximations for minimum cardinality quadrangulations of finite element meshes, Technical Report No. 559/1997, Fachbereich Mathematik, Technische Universität Berlin, 1997, available via anonymous ftp from ftp.math.tu-berlin.de; cd pub/Preprints/combi; file Report-559-1991.ps.Z; an extended abstract appeared in Proceedings of the 5th Annual European Symposium on Algorithms, ESA 97, Graz, Austria, pages 364-377.
    • (1997) Technical Report No. 559/1997
    • Müller-Hannemann, M.1    Weihe, K.2
  • 22
    • 21744448103 scopus 로고    scopus 로고
    • Graz, Austria
    • [MW2] M. Müller-Hannemann and K. Weihe, Improved approximations for minimum cardinality quadrangulations of finite element meshes, Technical Report No. 559/1997, Fachbereich Mathematik, Technische Universität Berlin, 1997, available via anonymous ftp from ftp.math.tu-berlin.de; cd pub/Preprints/combi; file Report-559-1991.ps.Z; an extended abstract appeared in Proceedings of the 5th Annual European Symposium on Algorithms, ESA 97, Graz, Austria, pages 364-377.
    • Proceedings of the 5th Annual European Symposium on Algorithms, ESA 97 , pp. 364-377
  • 24
    • 0028409644 scopus 로고
    • The controversy of hex or tet meshing
    • [W]
    • [W] V. I. Weingarten, The controversy of hex or tet meshing, Machine Design 1994, 74-77.
    • (1994) Machine Design , pp. 74-77
    • Weingarten, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.