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Volumn 421, Issue 2-3 SPEC. ISS., 2007, Pages 382-393

Dissection of the path-simplex in Rn into n path-subsimplices

Author keywords

Coxeter's trisection; n simplex; Path simplex; Self similarity

Indexed keywords

LINEAR ALGEBRA; NUMERICAL ANALYSIS;

EID: 33846221557     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2006.10.010     Document Type: Article
Times cited : (34)

References (17)
  • 1
    • 84878937668 scopus 로고    scopus 로고
    • M. Bern, P. Chew, D. Eppstein, J. Ruppert, Dihedral bounds for mesh generation in high dimensions, in: Proc. 6th Sympos. Discrete Algorithms, ACM and SIAM, 1995, pp. 189-196.
  • 3
    • 0039588200 scopus 로고
    • Trisecting an orthoscheme
    • Coxeter H.S.M. Trisecting an orthoscheme. Comput. Math. Appl. 17 (1989) 59-71
    • (1989) Comput. Math. Appl. , vol.17 , pp. 59-71
    • Coxeter, H.S.M.1
  • 4
    • 10044229114 scopus 로고
    • Geometrie simplexu I
    • Fiedler M. Geometrie simplexu I. Čas. pěst. mat. 79 (1954) 297-320
    • (1954) Čas. pěst. mat. , vol.79 , pp. 297-320
    • Fiedler, M.1
  • 5
    • 10044224061 scopus 로고
    • Über qualitative Winkeleigenschaften der Simplexe
    • Fiedler M. Über qualitative Winkeleigenschaften der Simplexe. Czech. Math. J. 7 82 (1957) 463-478
    • (1957) Czech. Math. J. , vol.7 , Issue.82 , pp. 463-478
    • Fiedler, M.1
  • 6
    • 33846203901 scopus 로고    scopus 로고
    • M. Fiedler, Einige Sätze aus der metrischen Geometrie der Simplexe in Euklidischen Räumen, in: Schriftenreihe d. Inst. f. Math. DAW, Heft 1, Berlin, 1957, p. 157.
  • 7
    • 33846202893 scopus 로고    scopus 로고
    • M. Fiedler, Matrices and Graphs in Euclidean Geometry, Publ. Dimatia MFF UK Praha, 2001, ISBN 80-238-7344-X (in Czech).
  • 8
    • 25644458327 scopus 로고    scopus 로고
    • Matrices and graphs in Euclidean geometry
    • Fiedler M. Matrices and graphs in Euclidean geometry. Electron. J. Linear Algebra 14 (2005) 51-58
    • (2005) Electron. J. Linear Algebra , vol.14 , pp. 51-58
    • Fiedler, M.1
  • 9
    • 0005657125 scopus 로고
    • Some remarks on finite element analysis of time-dependent field problems
    • University of Tokyo Press, Tokyo
    • Fujii H. Some remarks on finite element analysis of time-dependent field problems. Theory and Practice in Finite Element Structural Analysis (1973), University of Tokyo Press, Tokyo 91-106
    • (1973) Theory and Practice in Finite Element Structural Analysis , pp. 91-106
    • Fujii, H.1
  • 11
    • 26444536280 scopus 로고    scopus 로고
    • Global and local refinement techniques yielding nonobtuse tetrahedral partitions
    • Korotov S., and Křížek M. Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Comput. Math. Appl. 50 (2005) 1105-1113
    • (2005) Comput. Math. Appl. , vol.50 , pp. 1105-1113
    • Korotov, S.1    Křížek, M.2
  • 12
    • 0002332289 scopus 로고
    • On the diagonal dominance of stiffness matrices in 3D
    • Křížek M., and Lin Q. On the diagonal dominance of stiffness matrices in 3D. East-West J. Numer. Math. 3 (1995) 59-69
    • (1995) East-West J. Numer. Math. , vol.3 , pp. 59-69
    • Křížek, M.1    Lin, Q.2
  • 13
    • 0141941700 scopus 로고    scopus 로고
    • The minimum number of acute dihedral angles of a simplex
    • Leng G. The minimum number of acute dihedral angles of a simplex. Proc. Amer. Math. Soc. 131 10 (2003) 3039-3042
    • (2003) Proc. Amer. Math. Soc. , vol.131 , Issue.10 , pp. 3039-3042
    • Leng, G.1
  • 14
    • 33846194070 scopus 로고
    • Zerlegung von Tetraedern in Orthogonaltetraedern
    • Lenhard H.C. Zerlegung von Tetraedern in Orthogonaltetraedern. Elem. Math. 15 (1960) 106-107
    • (1960) Elem. Math. , vol.15 , pp. 106-107
    • Lenhard, H.C.1
  • 16
    • 0040737841 scopus 로고
    • On the strong maximum principle for some piecewise linear finite element approximate problems of non-positive type
    • Ruas Santos V. On the strong maximum principle for some piecewise linear finite element approximate problems of non-positive type. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 29 (1982) 473-491
    • (1982) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.29 , pp. 473-491
    • Ruas Santos, V.1
  • 17
    • 33846212680 scopus 로고
    • On the dissection of simplices into orthoschemes
    • Tschirpke K. On the dissection of simplices into orthoschemes. Geom. Dedicata 46 (1993) 313-329
    • (1993) Geom. Dedicata , vol.46 , pp. 313-329
    • Tschirpke, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.