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Volumn 28, Issue 1, 1998, Pages 37-44

Discontinuous Galerkin finite element methods for a forward-backward heat equation

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FINITE ELEMENT METHOD; GALERKIN METHODS; INITIAL VALUE PROBLEMS;

EID: 0032166915     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00011-7     Document Type: Article
Times cited : (12)

References (12)
  • 2
    • 0040053820 scopus 로고
    • A Galerkin method for the forward-backward heat equation
    • A.K. Aziz and J.-L. Liu, A Galerkin method for the forward-backward heat equation, Math. Comp. 56 (1991) 35-44.
    • (1991) Math. Comp. , vol.56 , pp. 35-44
    • Aziz, A.K.1    Liu, J.-L.2
  • 3
    • 0002634599 scopus 로고
    • An abstract treatment of some forward backward problems in transport and scattering
    • R. Beals, An abstract treatment of some forward backward problems in transport and scattering, J. Funct. Anal. 34 (1979) 1-20.
    • (1979) J. Funct. Anal. , vol.34 , pp. 1-20
    • Beals, R.1
  • 5
    • 0010998464 scopus 로고
    • Numerical analysis of an elliptic-parabolic partial differential equation
    • J.N. Franklin and E.R. Rodemich, Numerical analysis of an elliptic-parabolic partial differential equation, SIAM J. Numer. Anal. 5 (1968) 680-716.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 680-716
    • Franklin, J.N.1    Rodemich, E.R.2
  • 6
    • 0027641888 scopus 로고
    • On the numerical approximation of second order hyperbolic equations by space-time finite element methods
    • D.A. French, On the numerical approximation of second order hyperbolic equations by space-time finite element methods, Comput. Methods Appl. Mech. Engrg. 107 (1993) 145-157.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.107 , pp. 145-157
    • French, D.A.1
  • 7
    • 0008414510 scopus 로고
    • Approximation of an elliptic control problem by the finite element method
    • D.A. French and J.T. King, Approximation of an elliptic control problem by the finite element method, Numer. Funct. Anal. Optim. 12 (1991) 299-314.
    • (1991) Numer. Funct. Anal. Optim. , vol.12 , pp. 299-314
    • French, D.A.1    King, J.T.2
  • 8
    • 0040366208 scopus 로고
    • A heat equation in which the diffusion coefficient changes sign
    • J.A. Goldstein and T. Mazumdar, A heat equation in which the diffusion coefficient changes sign, J. Math. Anal. Appl. 103 (1984) 533-564.
    • (1984) J. Math. Anal. Appl. , vol.103 , pp. 533-564
    • Goldstein, J.A.1    Mazumdar, T.2
  • 10
    • 0003208045 scopus 로고
    • Galerkin finite element methods for parabolic problems
    • Springer, Berlin
    • V. Thomée, Galerkin Finite Element Methods for Parabolic Problems, Lecture Notes in Mathematics 1054 (Springer, Berlin, 1984).
    • (1984) Lecture Notes in Mathematics , vol.1054
    • Thomée, V.1
  • 11
    • 0025447699 scopus 로고
    • Iterative methods for a forward-backward heat equation
    • V. Vanaja and R.B. Kellogg, Iterative methods for a forward-backward heat equation, SIAM J. Numer. Anal. 27 (1990) 622-635.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 622-635
    • Vanaja, V.1    Kellogg, R.B.2
  • 12
    • 34250282527 scopus 로고
    • Error estimates for a Galerkin approximation for a parabolic control problem
    • R. Winther, Error estimates for a Galerkin approximation for a parabolic control problem, Ann. Mat. Pura Appl. 104 (1974) 173-206.
    • (1974) Ann. Mat. Pura Appl. , vol.104 , pp. 173-206
    • Winther, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.