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Volumn 211, Issue 2, 2006, Pages 473-491

The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATE SOLUTION; CONVERGENCE RATES; DIFFUSION PROBLEMS; DIFFUSION TENSOR; FINITE-DIFFERENCE DISCRETIZATION; FIRST ORDER; HIGH-ACCURACY; MIMETICS; POLYHEDRAL MESHES; SECOND ORDER CONVERGENCE;

EID: 26944473988     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.05.028     Document Type: Article
Times cited : (94)

References (18)
  • 1
    • 0036924061 scopus 로고    scopus 로고
    • An introduction to multipoint flux approximations for quadrilateral grids
    • I. Aavatsmark An introduction to multipoint flux approximations for quadrilateral grids Comput. Geosci. 6 2002 405-432
    • (2002) Comput. Geosci. , vol.6 , pp. 405-432
    • Aavatsmark, I.1
  • 2
    • 0001476939 scopus 로고    scopus 로고
    • Mixed finite element methods on non-matching multiblock grids
    • T. Arbogast L. Cowsar M. Wheeler I. Yotov Mixed finite element methods on non-matching multiblock grids SIAM J. Numer. Anal. 37 2000 1295-1315
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1295-1315
    • Arbogast, T.1    Cowsar, L.2    Wheeler, M.3    Yotov, I.4
  • 3
    • 85190308362 scopus 로고    scopus 로고
    • Mimetic preconditioners for mixed discretizations of the diffusion equation
    • Technical Report LA-UR-01-807, Los Alamos National Laboratory Available from: www.ima.umn.edu/talks/workshops/5-11-15.2004/moulton/moulton.pdf
    • T. Austin, J. Morel, J. Moulton, M. Shashkov. Mimetic preconditioners for mixed discretizations of the diffusion equation. Technical Report LA-UR-01-807, Los Alamos National Laboratory, 2004. Available from: www.ima.umn.edu/talks/workshops/5-11-15.2004/moulton/moulton.pdf
    • (2004)
    • Austin, T.1    Morel, J.2    Moulton, J.3    Shashkov, M.4
  • 4
    • 26944484259 scopus 로고    scopus 로고
    • Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes
    • (to appear)
    • F. Brezzi K. Lipnikov M. Shashkov Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes SIAM J. Numer. Anal. 2005 (to appear)
    • (2005) SIAM J. Numer. Anal.
    • Brezzi, F.1    Lipnikov, K.2    Shashkov, M.3
  • 5
    • 0035922232 scopus 로고    scopus 로고
    • A tensor artificial viscosity using a mimetic finite difference algorithm
    • J. Campbell M. Shashkov A tensor artificial viscosity using a mimetic finite difference algorithm J. Comput. Phys. 172 2001 739-765
    • (2001) J. Comput. Phys. , vol.172 , pp. 739-765
    • Campbell, J.1    Shashkov, M.2
  • 7
    • 0036923031 scopus 로고    scopus 로고
    • Mimetic finite difference methods for diffusion equations
    • J. Hyman J. Morel M. Shashkov S. Steinberg Mimetic finite difference methods for diffusion equations Comput. Geosci. 6 3-4 2002 333-352
    • (2002) Comput. Geosci. , vol.6 , Issue.3-4 , pp. 333-352
    • Hyman, J.1    Morel, J.2    Shashkov, M.3    Steinberg, S.4
  • 8
    • 84875677944 scopus 로고    scopus 로고
    • Mimetic discretizations for Maxwell's equations and the equations of magnetic diffusion
    • J. Hyman M. Shashkov Mimetic discretizations for Maxwell's equations and the equations of magnetic diffusion Progr. Electromagn. Res. 32 2001 89-121
    • (2001) Progr. Electromagn. Res. , vol.32 , pp. 89-121
    • Hyman, J.1    Shashkov, M.2
  • 9
    • 0000536753 scopus 로고    scopus 로고
    • The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
    • J. Hyman M. Shashkov S. Steinberg The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials J. Comput. Phys. 132 1997 130-148
    • (1997) J. Comput. Phys. , vol.132 , pp. 130-148
    • Hyman, J.1    Shashkov, M.2    Steinberg, S.3
  • 10
    • 22144481628 scopus 로고    scopus 로고
    • Mimetic finite difference method on polygonal meshes for diffusion-type problems
    • Y. Kuznetsov K. Lipnikov M. Shashkov Mimetic finite difference method on polygonal meshes for diffusion-type problems Comput. Geosci. 8 2004 301-324
    • (2004) Comput. Geosci. , vol.8 , pp. 301-324
    • Kuznetsov, Y.1    Lipnikov, K.2    Shashkov, M.3
  • 11
    • 0038136552 scopus 로고    scopus 로고
    • New mixed finite element method on polygonal and polyhedral meshes
    • Y. Kuznetsov S. Repin New mixed finite element method on polygonal and polyhedral meshes Russ. J. Numer. Anal. Math. Model. 18 3 2003 261-278
    • (2003) Russ. J. Numer. Anal. Math. Model. , vol.18 , Issue.3 , pp. 261-278
    • Kuznetsov, Y.1    Repin, S.2
  • 12
    • 26944434183 scopus 로고    scopus 로고
    • Convergence analysis and error estimates for mixed finite element method on distorted meshes
    • Y. Kuznetsov S. Repin Convergence analysis and error estimates for mixed finite element method on distorted meshes J. Numer. Math. 13 1 2005 33-51
    • (2005) J. Numer. Math. , vol.13 , Issue.1 , pp. 33-51
    • Kuznetsov, Y.1    Repin, S.2
  • 13
    • 4544253720 scopus 로고    scopus 로고
    • Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes
    • K. Lipnikov J. Morel M. Shashkov Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes J. Comput. Phys. 199 2004
    • (2004) J. Comput. Phys. , vol.199
    • Lipnikov, K.1    Morel, J.2    Shashkov, M.3
  • 15
    • 0036927302 scopus 로고    scopus 로고
    • Nonconforming finite volume methods
    • I. Mishev Nonconforming finite volume methods Comput. Geosci. 6 2002 253-268
    • (2002) Comput. Geosci. , vol.6 , pp. 253-268
    • Mishev, I.1
  • 16
    • 0001965060 scopus 로고    scopus 로고
    • A local support-operators diffusion discretization scheme for quadrilateral r-z meshes
    • J. Morel R. Roberts M. Shashkov A local support-operators diffusion discretization scheme for quadrilateral r-z meshes J. Comput. Phys. 144 1998 17-51
    • (1998) J. Comput. Phys. , vol.144 , pp. 17-51
    • Morel, J.1    Roberts, R.2    Shashkov, M.3
  • 17
    • 0001175293 scopus 로고
    • A mixed finite element method for second order eliptic problems
    • I. Galligani, E. Magenes (Eds.), Berlin, Heidelberg, New York
    • P. Raviart, J.-M. Thomas, A mixed finite element method for second order eliptic problems, in: I. Galligani, E. Magenes (Eds.), Mathematical Aspects of the Finite Element Method, Berlin, Heidelberg, New York, pp. 292-315, 1977.
    • (1977) Mathematical Aspects of the Finite Element Method , pp. 292-315
    • Raviart, P.1    Thomas, J.-M.2
  • 18
    • 0002621183 scopus 로고
    • Algebraic multigrid (AMG): Experiences and comparisons
    • K. Stüben Algebraic multigrid (AMG): Experiences and comparisons Appl. Math. Comput. 13 1983 419-452
    • (1983) Appl. Math. Comput. , vol.13 , pp. 419-452
    • Stüben, K.1


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