메뉴 건너뛰기




Volumn 78, Issue 4, 1998, Pages 495-521

Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032344669     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050323     Document Type: Article
Times cited : (25)

References (28)
  • 1
    • 34250459417 scopus 로고
    • The finite element method with Lagrange multipliers
    • Babuska, I. (1973): The finite element method with Lagrange multipliers. Numer. Math. 20, 179-192
    • (1973) Numer. Math. , vol.20 , pp. 179-192
    • Babuska, I.1
  • 2
    • 84875280850 scopus 로고
    • Higher order local accuracy by averaging in the finite element method
    • Bramble, J., Schatz, A.H. (1977): Higher order local accuracy by averaging in the finite element method. Math. Comput. 137, 94-111
    • (1977) Math. Comput. , vol.137 , pp. 94-111
    • Bramble, J.1    Schatz, A.H.2
  • 3
    • 0016093926 scopus 로고
    • On existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • Brezzi, F. (1974): On existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers. RAIRO Anal. Numer. 2, 129-151
    • (1974) RAIRO Anal. Numer. , vol.2 , pp. 129-151
    • Brezzi, F.1
  • 4
    • 34250118577 scopus 로고
    • Two families of mixed elements for second order elliptic problems
    • Brezzi, F., Douglas, J., Marini, L. (1985): Two families of mixed elements for second order elliptic problems. Numer. Math. 88, 217-235
    • (1985) Numer. Math. , vol.88 , pp. 217-235
    • Brezzi, F.1    Douglas, J.2    Marini, L.3
  • 8
    • 84966231586 scopus 로고
    • A quasi-projection analysis of Galerkin method for parabolic and hyperbolic equations
    • Douglas, J., Dupont, T., Wheeler, M.F. (1978): A quasi-projection analysis of Galerkin method for parabolic and hyperbolic equations. Math. Comput. 142, 345-362
    • (1978) Math. Comput. , vol.142 , pp. 345-362
    • Douglas, J.1    Dupont, T.2    Wheeler, M.F.3
  • 9
    • 0038908799 scopus 로고
    • Interior and superconvergence estimates for mixed methods for second order elliptic equations
    • Douglas, J., Milner, F. (1985): Interior and superconvergence estimates for mixed methods for second order elliptic equations. RAIRO Model. Math. Anal. Numer. 19, 297-328
    • (1985) RAIRO Model. Math. Anal. Numer. , vol.19 , pp. 297-328
    • Douglas, J.1    Milner, F.2
  • 10
    • 84966242123 scopus 로고
    • Global estimates for mixed methods for second order elliptic equations
    • Douglas, J., Roberts, J.E. (1985); Global estimates for mixed methods for second order elliptic equations. Math. Comput. 44, 39-52
    • (1985) Math. Comput. , vol.44 , pp. 39-52
    • Douglas, J.1    Roberts, J.E.2
  • 11
    • 51249172886 scopus 로고
    • Superconvergence of mixed finite element methods on rectangular domains
    • Douglas, J., Wang, J. (1989): Superconvergence of mixed finite element methods on rectangular domains. Calcolo, 26, 121-134
    • (1989) Calcolo , vol.26 , pp. 121-134
    • Douglas, J.1    Wang, J.2
  • 12
    • 0041180232 scopus 로고
    • Superconvergence for rectangular mixed finite elements
    • Duran, R. (1990): Superconvergence for rectangular mixed finite elements. Numer. Math. 58, 287-298
    • (1990) Numer. Math. , vol.58 , pp. 287-298
    • Duran, R.1
  • 13
    • 0040586156 scopus 로고
    • Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements
    • Ewing, R.E., Lazarov, R.D. (1993): Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements. East-West J. Numer. Math. 1, 199-212
    • (1993) East-West J. Numer. Math. , vol.1 , pp. 199-212
    • Ewing, R.E.1    Lazarov, R.D.2
  • 14
    • 0026203036 scopus 로고
    • Superconvergence of the velocity along the Gauss lines in mixed finite element methods
    • Ewing, R.E., Lazarov, R.D., Wang, J. (1991): Superconvergence of the velocity along the Gauss lines in mixed finite element methods. SIAM J. Numer. Anal. 28(4), 1015-1029
    • (1991) SIAM J. Numer. Anal. , vol.28 , Issue.4 , pp. 1015-1029
    • Ewing, R.E.1    Lazarov, R.D.2    Wang, J.3
  • 15
    • 0038893482 scopus 로고
    • Computational aspects of mixed finite element methods
    • R.S. S. Stepleman, eds., North Holland, New York
    • Ewing, R.E., Wheeler, M.F. (1983): Computational aspects of mixed finite element methods. In: R.S. S. Stepleman, eds., Numer. Meth. Scien. Comput. North Holland, New York 163-172
    • (1983) Numer. Meth. Scien. Comput. , pp. 163-172
    • Ewing, R.E.1    Wheeler, M.F.2
  • 16
    • 0039400971 scopus 로고    scopus 로고
    • Reference deleted
    • Reference deleted
  • 17
    • 84966211259 scopus 로고
    • Some convergence estimates for semidiscrete Galerkin type schemes for time-dependent non-selfadjoint equations
    • Huang, M., Thomée, V. (1981): Some convergence estimates for semidiscrete Galerkin type schemes for time-dependent non-selfadjoint equations. Math. Comput. 37, 327-346
    • (1981) Math. Comput. , vol.37 , pp. 327-346
    • Huang, M.1    Thomée, V.2
  • 18
    • 0002078165 scopus 로고
    • Error estimates for some mixed finite element methods for parabolic type problems
    • Johnson, C., Thomée, V. (1982): Error estimates for some mixed finite element methods for parabolic type problems. RAIRO Anal. Numer. 15, 41-78
    • (1982) RAIRO Anal. Numer. , vol.15 , pp. 41-78
    • Johnson, C.1    Thomée, V.2
  • 19
    • 0002938808 scopus 로고
    • On the smoothing property of the Galerkin method for parabolic equations
    • Luskin, M., Rannacher, R. (1982): On the smoothing property of the Galerkin method for parabolic equations. SIAM J. Numer. Anal. 19, 93-113
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 93-113
    • Luskin, M.1    Rannacher, R.2
  • 20
    • 0022335138 scopus 로고
    • Some superconvergence results for mixed finite element methods for elliptic problems on rectangular domains
    • J. R. Whiteman, ed.
    • Nakata, M., Weiser, A., Wheeler, M.F (1985): Some superconvergence results for mixed finite element methods for elliptic problems on rectangular domains. In: J. R. Whiteman, ed., The Math. of Finite Elements and Appl.
    • (1985) The Math. of Finite Elements and Appl.
    • Nakata, M.1    Weiser, A.2    Wheeler, M.F.3
  • 21
    • 0000439427 scopus 로고
    • Finite element solution of diffusion problems with irregular data
    • Rannacher, R. (1984): Finite element solution of diffusion problems with irregular data. Numer. Math. 43, 309-327
    • (1984) Numer. Math. , vol.43 , pp. 309-327
    • Rannacher, R.1
  • 23
    • 84980170637 scopus 로고
    • Maximum norm stability and error estimates in parabolic finite element equations
    • Schatz, A.H., Thomée, V., Wahlbin, L.B. (1980): Maximum norm stability and error estimates in parabolic finite element equations. Comm. Pure Appl. Math. 33, 263-304
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 263-304
    • Schatz, A.H.1    Thomée, V.2    Wahlbin, L.B.3
  • 25
    • 0003208045 scopus 로고
    • Galerkin finite element methods for parabolic problems
    • Springer-Verlag
    • Thomée, V. (1984): Galerkin finite element methods for parabolic problems. Lecture Notes in Math. Springer-Verlag 1054.
    • (1984) Lecture Notes in Math. , vol.1054
    • Thomée, V.1
  • 26
    • 0005708874 scopus 로고
    • Superconvergence of the gradient in piecewise linear finite element approximation to a parabolic problem
    • Thomée, V., Xu, J., Zhang, N. (1989): Superconvergence of the gradient in piecewise linear finite element approximation to a parabolic problem. SIAM J. Numer. Anal. 26(3), 553-573
    • (1989) SIAM J. Numer. Anal. , vol.26 , Issue.3 , pp. 553-573
    • Thomée, V.1    Xu, J.2    Zhang, N.3
  • 27
    • 0040586155 scopus 로고
    • ∞-error estimates for mixed finite element methods for second order elliptic problems
    • ∞-error estimates for mixed finite element methods for second order elliptic problems. Numer. Math. 55, 401-430
    • (1989) Numer. Math. , vol.55 , pp. 401-430
    • Wang, J.1
  • 28
    • 84966252985 scopus 로고
    • Superconvergence and extrapolation for mixed finite element methods on rectangular domains
    • Wang, J. (1991): Superconvergence and extrapolation for mixed finite element methods on rectangular domains. Math. Comp. 56, 477-503
    • (1991) Math. Comp. , vol.56 , pp. 477-503
    • Wang, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.