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Applications of Mathematics
Volumn 42, Issue 4, 1997, Pages 259-277
Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method
Author keywords

Crank Nicolson scheme; Finite element method; Parabolic problem; Parameter identification
Indexed keywords

EID: 0347137316     PISSN: 08627940     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023012328209     Document Type: Article
Times cited : (11)
References (11)
  • 1
    • 0003210742 scopus 로고
    • The Mathematical Theory of Finite Element Methods
    • Springer-Verlag New York
    • S. C. Brenner and L. R. Scott: The Mathematical Theory of Finite Element Methods. Texts in Applied Mathematics. Springer-Verlag vol. 15, New York, 1994.
    • (1994) Texts in Applied Mathematics , vol.15
    • Brenner, S.C.1    Scott, L.R.2
  • 3
    • 0040138359 scopus 로고
    • Galerkin methods for parabolic equations with nonlinear boundary conditions
    • J. Douglas, Jr. and T. Dupont: Galerkin methods for parabolic equations with nonlinear boundary conditions. Numer. Math. 20 (1973), 213-237.
    • (1973) Numer. Math. , vol.20 , pp. 213-237
    • Douglas J., Jr.1    Dupont, T.2
  • 4
    • 0039485998 scopus 로고
    • Finite Element Galerkin Methods for Differential Equations
    • Marcel Dekker, Inc., New York
    • G. Fairweather: Finite Element Galerkin Methods for Differential Equations, Lecture notes in pure and applied mathematics vol. 34. Marcel Dekker, Inc., New York, 1978.
    • (1978) Lecture Notes in Pure and Applied Mathematics , vol.34
    • Fairweather, G.1
  • 5
    • 84966231637 scopus 로고
    • Error estimates for the numerical identification of a variable coefficient
    • R. S. Falk: Error estimates for the numerical identification of a variable coefficient. Math. Comp. 40 (1983), 537-546.
    • (1983) Math. Comp. , vol.40 , pp. 537-546
    • Falk, R.S.1
  • 7
    • 0002938808 scopus 로고
    • On the smoothing property of the Galerkin method for parabolic equations
    • M. Luskin and R. Rannacher: On the smoothing property of the Galerkin method for parabolic equations. SIAM J. Numer. Anal. 19 (1981), 93-113.
    • (1981) SIAM J. Numer. Anal. , vol.19 , pp. 93-113
    • Luskin, M.1    Rannacher, R.2
  • 8
    • 0016518553 scopus 로고
    • Interpolated boundary conditions in the finite element method
    • R. Scott: Interpolated boundary conditions in the finite element method. SIAM J. Numer. Anal. 12 (1975), 404-427.
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 404-427
    • Scott, R.1
  • 9
    • 0345223780 scopus 로고
    • Identification of a nonlinear parameter in a parabolic equation from a linear equation
    • X.-C. Tai and T. Kärkkäinen: Identification of a nonlinear parameter in a parabolic equation from a linear equation. Comp. Appl. Math. 14 (1995), 157-184.
    • (1995) Comp. Appl. Math. , vol.14 , pp. 157-184
    • Tai, X.-C.1    Kärkkäinen, T.2
  • 10
    • 0003208045 scopus 로고
    • Galerkin Finite Element Methods for Parabolic Problems
    • Springer-Verlag, Berlin Heidelberg
    • V. Thomée: Galerkin Finite Element Methods for Parabolic Problems, Lecture Notes in Mathematics vol. 1054. Springer-Verlag, Berlin Heidelberg, 1984.
    • (1984) Lecture Notes in Mathematics , vol.1054
    • Thomée, V.1
  • 11
    • 0001287713 scopus 로고
    • 2 error estimates for Galerkin approximations to parabolic partial differential equations
    • 2 error estimates for Galerkin approximations to parabolic partial differential equations. SIAM J. Numer. Anal. 10 (1973), 723-759.
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 723-759
    • Wheeler, M.F.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.