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Volumn 227, Issue 8, 2008, Pages 3738-3757

A piecewise linear finite element discretization of the diffusion equation for arbitrary polyhedral grids

Author keywords

Adaptive mesh refinement; Arbitrary polyhedral grids; Diffusion; Finite element; Finite volume; Piecewise linear; Unstructured grids

Indexed keywords

FINITE ELEMENT METHOD; FINITE VOLUME METHOD; GALERKIN METHODS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; PIECEWISE LINEAR TECHNIQUES;

EID: 40249097401     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.11.026     Document Type: Article
Times cited : (20)

References (10)
  • 1
    • 0035546588 scopus 로고    scopus 로고
    • Discretizing the diffusion equation on unstructured polygonal meshes in two dimensions
    • T.S. Palmer Discretizing the diffusion equation on unstructured polygonal meshes in two dimensions Ann. Nucl. Energy 28 2000 1851 1880
    • (2000) Ann. Nucl. Energy , vol.28 , pp. 1851-1880
    • Palmer, T.S.1
  • 2
    • 85189840904 scopus 로고    scopus 로고
    • T.S. Palmer, A point-centered diffusion differencing for unstructured meshes in 3-D, in: Proceedings of International Conference in Mathematics and Computations, Reactor Physics and Environmental Analyses, Portland, OR, April 30–May 4, 1995, vol. 2, pp. 897–905.
  • 3
    • 0003580092 scopus 로고
    • A Rational Finite Element Basis
    • E.L. Wachspress A Rational Finite Element Basis 1975 Academic Press New York
    • (1975)
    • Wachspress, E.L.1
  • 4
    • 85189840297 scopus 로고    scopus 로고
    • Finite element diffusion on arbitrary quadrilaterals using rational basis functions
    • G.G. Davidson T.S. Palmer Finite element diffusion on arbitrary quadrilaterals using rational basis functions Trans. Am. Nucl. Soc. 87 2002
    • (2002) Trans. Am. Nucl. Soc. , vol.87
    • Davidson, G.G.1    Palmer, T.S.2
  • 5
    • 85189841701 scopus 로고    scopus 로고
    • H.G. Stone, M.L. Adams, A piecewise linear finite element basis with application to particle transport, in: Nuclear Mathematical and Computational Sciences Meeting, Gatlinburg, TN, CD-ROM, April 6–11, 2003.
  • 6
    • 85189837719 scopus 로고    scopus 로고
    • J.E. Morel, A 3-D cell-centered diffusion discretization for arbitrary polyhedral meshes, Los Alamos National Laboratory Research Note, CCS-4:02-40(U), 2002.
  • 7
    • 85189842294 scopus 로고    scopus 로고
    • Yu. Kuznetsov, K. Lipnikov, M. Shashkov, Mimetic finite difference method on polygonal meshes, Los Alamos National Laboratory Report, LA-UR-03-7608, 2003.
  • 8
    • 0000207418 scopus 로고    scopus 로고
    • Asymptotic analysis of a method for time- and frequency-dependent radiative transfer
    • M.L. Adams P.F. Nowak Asymptotic analysis of a method for time- and frequency-dependent radiative transfer J. Comput. Phys. 146 1998 366 403
    • (1998) J. Comput. Phys. , vol.146 , pp. 366-403
    • Adams, M.L.1    Nowak, P.F.2
  • 9
    • 27144535622 scopus 로고    scopus 로고
    • Theory and Practice of Finite Elements
    • A. Ern J.L. Guermond Theory and Practice of Finite Elements 2004 Springer-Verlag New York
    • (2004)
    • Ern, A.1    Guermond, J.L.2
  • 10
    • 0001392592 scopus 로고
    • Differencing of the diffusion equation in lagrangian hydrodynamic codes
    • D.S. Kershaw Differencing of the diffusion equation in lagrangian hydrodynamic codes J. Comput. Phys. 39 1981 375
    • (1981) J. Comput. Phys. , vol.39 , pp. 375
    • Kershaw, D.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.