A linearization technique and error estimates for distributed parameter identification in quasilinear problems

Numerical Functional Analysis and Optimization

Volumn 17, Issue 3-4, 1996, Pages 345-364

  Kärkkäinen, Tommi ^a  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000898495     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569608816698     Document Type: Article

References (10)

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2. H. T. BANKS AND K. KUNISCH, Estimation Techniques for Distributed Parameter Systems, vol. 1 of Systems & Control: Foundations & Applications, Birkhäuser, Boston, 1989.
3. P. G. CIARLET AND J. L. LIONS, eds., Finite Element Method (Part 1), vol. 2, Elsevier Science Publishers B.V., North-Holland, 1991.
4. G. FAIRWEATHER, Finite Element Galerkin Methods for Differential Equations, vol. 34 of lecture notes in pure and applied mathematics, Marcel Dekker, Inc., New York, 1978.
5. R. S. FALK, Error estimates for the numerical identification of a variable coefficient, Math. Comp., 40 (1983), pp. 537-546.
6. T. KÄRKKÄINEN, Error estimates for distributed parameter identification in linear elliptic equations, to appear in J. of Math. Syst., Estim., and Contr.
7. P. NEITTAANMÄKI AND D. TIBA, Optimal Control of Nonlinear Parabolic Systems; Theory, Algorithms, and Applications, Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 1994.
8. R. SCOTT, Interpolated boundary conditions in the finite element method, SIAM J. Numer. Anal., 12 (1975), pp. 404-427.
9. X.-C. TAI AND T. KÄRKKÄINEN, Identification of a nonlinear parameter in a parabolic equation by a linear approach. Report No. 93, University of Bergen, Department of Applied Mathematics, March 1994. submitted to Comp. and Appl. Math.
10. X.-C. TAI AND P. NEITTAANMÄKI, A linear approach for the nonlinear distributed parameter identification problem, in Numerical Methods for Free Boundary Problems, P. Neittaanmäki, ed., no. 99 in International Series of Numerical Mathematics, Basel, 1991, Birkhäuser, pp. 401-411.