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Volumn 36, Issue 5, 1998, Pages 79-99

Approximation of boundary conditions for mimetic finite-difference methods

Author keywords

Boundary conditions; Discrete vector analysis; Finite difference; Logically rectangular grids

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 0032167141     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00152-7     Document Type: Article
Times cited : (49)

References (13)
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    • Natural discretizations for the divergence, gradient, and curl on logically rectangular grids
    • J.M. Hyman and M. Shashkov, Natural discretizations for the divergence, gradient, and curl on logically rectangular grids, Computers Math. Applic. 33, 81-104, (1997).
    • (1997) Computers Math. Applic. , vol.33 , pp. 81-104
    • Hyman, J.M.1    Shashkov, M.2
  • 2
    • 0031333803 scopus 로고    scopus 로고
    • The adjoint operators for the natural discretizations for the divergence, gradient, and curl on logically rectangular grids
    • J.M. Hyman and M. Shashkov, The adjoint operators for the natural discretizations for the divergence, gradient, and curl on logically rectangular grids, IMACS J. Appl. Numer. Math. 25, 413-442, (1997).
    • (1997) IMACS J. Appl. Numer. Math. , vol.25 , pp. 413-442
    • Hyman, J.M.1    Shashkov, M.2
  • 3
    • 85030066361 scopus 로고    scopus 로고
    • The orthogonal decomposition theorems for mimetic finite difference methods
    • Los Alamos National Laboratory document LA-UR-96-4735 Submitted to
    • J.M. Hyman and M. Shashkov, The orthogonal decomposition theorems for mimetic finite difference methods, Los Alamos National Laboratory document LA-UR-96-4735 (Submitted to SIAM J. Numer. Anal.).
    • SIAM J. Numer. Anal.
    • Hyman, J.M.1    Shashkov, M.2
  • 6
    • 0001367435 scopus 로고
    • Support-operator finite-difference algorithms for general elliptic problems
    • M. Shashkov and S. Steinberg, Support-operator finite-difference algorithms for general elliptic problems, J. Comput. Phys. 118, 131-151, (1995).
    • (1995) J. Comput. Phys. , vol.118 , pp. 131-151
    • Shashkov, M.1    Steinberg, S.2
  • 7
    • 0030525010 scopus 로고    scopus 로고
    • Solving diffusion equations with rough coefficients in rough grids
    • M. Shashkov and S. Steinberg, Solving diffusion equations with rough coefficients in rough grids, J. Comput. Phys. 129, 383-405, (1996).
    • (1996) J. Comput. Phys. , vol.129 , pp. 383-405
    • Shashkov, M.1    Steinberg, S.2
  • 9
    • 84964442545 scopus 로고
    • Summation by parts, projections, and stability. 1
    • P. Olsson, Summation by parts, projections, and stability. 1, Math. Comput. 64, 1035-1065, (1995).
    • (1995) Math. Comput. , vol.64 , pp. 1035-1065
    • Olsson, P.1
  • 10
    • 84964442545 scopus 로고
    • Summation by parts, projections, and stability. 2
    • P. Olsson, Summation by parts, projections, and stability. 2, Math. Comput. 64, 1473-1493, (1995).
    • (1995) Math. Comput. , vol.64 , pp. 1473-1493
    • Olsson, P.1
  • 11
    • 85033890696 scopus 로고    scopus 로고
    • A local support-operator diffusion discretization scheme for quadrilateral R-Z meshes
    • Los Alamos National Laboratory document LA-UR-97-577 Submitted to
    • J.E. Morel, R.M. Roberts and M.J. Shashkov, A local support-operator diffusion discretization scheme for quadrilateral R-Z meshes, Los Alamos National Laboratory document LA-UR-97-577 (Submitted to J. Comput. Phys.).
    • J. Comput. Phys.
    • Morel, J.E.1    Roberts, R.M.2    Shashkov, M.J.3
  • 13
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    • The numerical solution of diffusion problems in strongly heterogeneous nonisotropic materials
    • J. Hyman, M. Shashkov and S. Steinberg, The numerical solution of diffusion problems in strongly heterogeneous nonisotropic materials, J. Comput. Phys. 132, 130-148, (1997).
    • (1997) J. Comput. Phys. , vol.132 , pp. 130-148
    • Hyman, J.1    Shashkov, M.2    Steinberg, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.