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Volumn 104, Issue 3, 2006, Pages 317-337

Robust convergence of multi point flux approximation on rough grids

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EID: 33846981131     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-006-0023-4     Document Type: Article
Times cited : (109)

References (20)
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    • Aavatsmark, I., Barkve, T., Bøe, Ø., Mannseth, T.: Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media J. Comput. Phys. 127, 2-14 (1996)
    • (1996) J. Comput. Phys , vol.127 , pp. 2-14
    • Aavatsmark, I.1    Barkve, T.2    Bøe, O.3    Mannseth, T.4
  • 4
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    • Aavatsmark, I., Eigestad, G.T., Klausen, R.A., Wheeler, M.F., Yotov, I.: Convergence of a symmetric MPFA method on quadrilateral grids. (Preprints 2005)
    • Aavatsmark, I., Eigestad, G.T., Klausen, R.A., Wheeler, M.F., Yotov, I.: Convergence of a symmetric MPFA method on quadrilateral grids. (Preprints 2005)
  • 5
    • 0029505980 scopus 로고
    • Connection between finite volume and mixed finite element methods for a diffusion problem with nonconstants coefficients. Application to a convection diffusion problem
    • Agouzal, A., Baranger, J., Maitre, J.-F., Oudin, F.: Connection between finite volume and mixed finite element methods for a diffusion problem with nonconstants coefficients. Application to a convection diffusion problem. East West J. Numer. Math. 3, 237-254 (1995)
    • (1995) East West J. Numer. Math , vol.3 , pp. 237-254
    • Agouzal, A.1    Baranger, J.2    Maitre, J.-F.3    Oudin, F.4
  • 6
    • 0036018011 scopus 로고    scopus 로고
    • Approximation by quadrilateral finite elements
    • Arnold, D.N., Boffi, D., Falk, R.S.: Approximation by quadrilateral finite elements. Math. Comp. 71(239), 909-922 (2002)
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  • 9
    • 0035708126 scopus 로고    scopus 로고
    • Convergence of mimetic finite difference discretizations of the diffusion equation
    • Berndt, M., Lipnikov, K., Moulton, J.D., Shashkov, M.: Convergence of mimetic finite difference discretizations of the diffusion equation. East West J. Numer. Math. 9, 130-148 (2001)
    • (2001) East West J. Numer. Math , vol.9 , pp. 130-148
    • Berndt, M.1    Lipnikov, K.2    Moulton, J.D.3    Shashkov, M.4
  • 11
    • 0035452999 scopus 로고    scopus 로고
    • A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case
    • Chou, S., Kwak, D.Y., Kim, K.Y.: A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case. SIAM J. Numer. Anal. 39, 1170-1196 (2001)
    • (2001) SIAM J. Numer. Anal , vol.39 , pp. 1170-1196
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  • 13
    • 0036923067 scopus 로고    scopus 로고
    • Unstructured, control-volume distributed, full-tensor finite-volume schemes with flow based grids
    • Edwards, M.G.: Unstructured, control-volume distributed, full-tensor finite-volume schemes with flow based grids. Comput. Geosci. 6, 433-452 (2002)
    • (2002) Comput. Geosci , vol.6 , pp. 433-452
    • Edwards, M.G.1
  • 14
    • 85120595280 scopus 로고    scopus 로고
    • Eigestad, G.T., Klausen, R.A.: On the convergence of the multi-point flux approximation O-method; numerical experiments for discontinous permeability. Numer. Methods Part. Diff. Equs. 21(6), 1079-1098 (2005)
    • Eigestad, G.T., Klausen, R.A.: On the convergence of the multi-point flux approximation O-method; numerical experiments for discontinous permeability. Numer. Methods Part. Diff. Equs. 21(6), 1079-1098 (2005)
  • 15
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    • Klausen, R.A.: PhD thesis: on locally conservative numerical methods for elliptic problems; Application to reservoir simulation. Dissertation, no 297. Unipub AS, University of Oslo (2003)
    • Klausen, R.A.: PhD thesis: on locally conservative numerical methods for elliptic problems; Application to reservoir simulation. Dissertation, no 297. Unipub AS, University of Oslo (2003)
  • 16
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    • Relationships among some locally conservative discretization methods which handle discontinuous coefficients
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  • 20
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    • A multipoint flux mixed finite element method
    • 05-06, Department of Mathematics, University of Pittsburgh
    • Wheeler, M.F., Yotov, I.: A multipoint flux mixed finite element method. In: Technical Report TR Math 05-06, Department of Mathematics, University of Pittsburgh
    • Technical Report TR Math
    • Wheeler, M.F.1    Yotov, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.