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Volumn 32, Issue , 2001, Pages 151-169

Data structures for geometric and topological aspects of finite element algorithms

Author keywords

[No Author keywords available]

Indexed keywords

EQUIVALENT THEORY; FIELD PARAMETERS; FINITE ELEMENT ALGORITHMS; FINITE ELEMENT MESHES; HOMOLOGY THEORY; SIMPLICIAL COMPLEX; TETRAHEDRAL FINITE ELEMENTS; TETRAHEDRAL MESHES;

EID: 33751024350     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER00080106     Document Type: Article
Times cited : (19)

References (27)
  • 4
    • 21144463023 scopus 로고
    • Representing geometric structures in d dimensions: Topology and order
    • Brisson, E., "Representing geometric structures in d dimensions: Topology and order," Discrete and Computational Geometry, Vol. 9, 387-426, 1993.
    • (1993) Discrete and Computational Geometry , vol.9 , pp. 387-426
    • Brisson, E.1
  • 5
    • 0021412130 scopus 로고
    • Scalar potentials in multiply connected regions
    • Brown, M. L., "Scalar potentials in multiply connected regions," Int. J. Numer. Meth. Eng., Vol. 20, 665-680, 1984.
    • (1984) Int. J. Numer. Meth. Eng , vol.20 , pp. 665-680
    • Brown, M.L.1
  • 8
    • 33646625543 scopus 로고
    • Combinatorial and continuous hodge theories
    • Dodziuk, J., "Combinatorial and continuous hodge theories," Bull. AMS, Vol. 80, 1014-1016, 1974.
    • (1974) Bull. AMS , vol.80 , pp. 1014-1016
    • Dodziuk, J.1
  • 9
    • 0001777623 scopus 로고
    • Finite-difference approach to the hodge theory of harmonic forms
    • Dodziuk, J., "Finite-difference approach to the hodge theory of harmonic forms," Am. J. Math., Vol. 98, 79-104, 1976.
    • (1976) Am. J. Math , vol.98 , pp. 79-104
    • Dodziuk, J.1
  • 12
    • 84887462786 scopus 로고
    • A challenge for magnetic scalar potential formulations of 3-d eddy current problems: Multiply connected cuts in multiply connected regions which necessarily leave the cut complement multiply connected
    • A. Nicolet and R. Belmans (eds.), 1-20, New York, Proc. of the Second Int. Workshop on Electric and Magnetic Fields
    • Gross, P. W. and P. R. Kotiuga, "A challenge for magnetic scalar potential formulations of 3-d eddy current problems: Multiply connected cuts in multiply connected regions which necessarily leave the cut complement multiply connected," Electric and Magnetic Fields: From Numerical Models to Industrial Applications, A. Nicolet and R. Belmans (eds.), 1-20, New York, 1995. Proc. of the Second Int. Workshop on Electric and Magnetic Fields.
    • (1995) Electric and Magnetic Fields: From Numerical Models to Industrial Applications
    • Gross, P.W.1    Kotiuga, P.R.2
  • 14
    • 0024737597 scopus 로고
    • An algorithm to make cuts for scalar potentials in tetrahedral meshes based on the finite element method
    • Kotiuga, P. R., "An algorithm to make cuts for scalar potentials in tetrahedral meshes based on the finite element method," IEEE Trans. Magn., Vol. 25, 4129-4131, 1989.
    • (1989) IEEE Trans. Magn , vol.25 , pp. 4129-4131
    • Kotiuga, P.R.1
  • 15
    • 0024705021 scopus 로고
    • Helicity functionals and metric invariance in three dimensions
    • Kotiuga, P. R., "Helicity functionals and metric invariance in three dimensions," IEEE Trans. Magn., Vol. 25, 2813-2815, 1989.
    • (1989) IEEE Trans. Magn , vol.25 , pp. 2813-2815
    • Kotiuga, P.R.1
  • 16
    • 0011657714 scopus 로고
    • Analysis of finite-element matrices arising from discretizations of helicity functionals
    • Kotiuga, P. R., "Analysis of finite-element matrices arising from discretizations of helicity functionals," J. Appl. Phys., Vol. 67, 5815-5817, 1990.
    • (1990) J. Appl. Phys , vol.67 , pp. 5815-5817
    • Kotiuga, P.R.1
  • 17
    • 36549097827 scopus 로고
    • Topological duality in three-dimensional eddy-current problems and its role in computer-aided problem formulation
    • Kotiuga, P. R., "Topological duality in three-dimensional eddy-current problems and its role in computer-aided problem formulation," J. Appl. Phys., Vol. 67, 4717-4719, 1990.
    • (1990) J. Appl. Phys , vol.67 , pp. 4717-4719
    • Kotiuga, P.R.1
  • 18
    • 0026258942 scopus 로고
    • Essential arithmetic for evaluating three dimensional vector finite element interpolation schemes
    • Kotiuga, P. R., "Essential arithmetic for evaluating three dimensional vector finite element interpolation schemes," IEEE Trans. Magn., Vol. MAG-27, 5208-5210, 1991.
    • (1991) IEEE Trans. Magn , vol.27 , pp. 5208-5210
    • Kotiuga, P.R.1
  • 19
    • 84887484671 scopus 로고
    • Basic concepts of multidimensional space filters
    • Kron, G., "Basic concepts of multidimensional space filters," AIEE Trans., Vol. 78, 554-561, 1959.
    • (1959) AIEE Trans , vol.78 , pp. 554-561
    • Kron, G.1
  • 21
    • 0011546533 scopus 로고
    • Analytic torsion and r-torsion of riemannian manifolds
    • Muller, W., "Analytic torsion and r-torsion of riemannian manifolds," Advances in Mathematics, Vol. 28, 233-305, 1978.
    • (1978) Advances In Mathematics , vol.28 , pp. 233-305
    • Muller, W.1
  • 25
    • 84972526523 scopus 로고
    • On matrices of integers and combinatorial topology
    • Whitney, H., "On matrices of integers and combinatorial topology," Duke Math. J., Vol. 3, 35-45, 1937.
    • (1937) Duke Math. J , vol.3 , pp. 35-45
    • Whitney, H.1
  • 27
    • 0004227490 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • Whitney, H., Geometric Integration Theory, Princeton University Press, Princeton, New Jersey, 1957.
    • (1957) Geometric Integration Theory
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.