A posteriori error estimation for finite element discretization of parameter identification problems

Numerische Mathematik

Volumn 96, Issue 3, 2004, Pages 435-459

  Becker, Roland ^a   Vexler, Boris ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0842325124     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-003-0482-9     Document Type: Article

References (15)

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4. Becker, R., Rannacher, R.: An optimal control approach to a posteriori error estimation in finite element methods. In: Acta Numerica 2001 A. Iserles, (ed), Cambridge: Cambridge University Press, 2001
5. Becker, R., Kapp, H., Rannacher, R.: Adaptive finite element methods for optimal control of partial differential equations: Basic concept. SIAM J. Cont. Opt. 39(1), 113-132 (2000)
6. Becker, R., Vexler., B.: Mesh Adaptation for Parameter Identification Problems. In: Proc. of the 8th Conference on Control of Distributed Parameter Systems Graz, July 15-21, 2001, Intern. Series of Numerical Mathematics, 143, 41-56 (2002)
7. Bock, H.G.: Randwertproblemmethoden zur Parameteridentifizierung in Systemen nichtlinearer Differentialgleichungen. Bonner Mathematische Schriften, 1987
8. Carey, C.F., Oden, J.T.: Finite Elements, Computational Aspects. Vol. III. Prentice-Hall, 1984
9. Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. Amsterdam: North-Holland Publishing Company, 1978
10. Clement, Ph.: Approximation by finite element functions using local regularization. [J] Revue Franc. Automat. Inform. Rech. Operat. 9(R-2), 77-84 (1975)
11. Dennis, J.E., Schnabel, R.B.: Numerical methods for unconstrained optimization and nonlinear equations. Number 16 in Classics in Applied Mathematics. SIAM, Society for Industrial and Applied Mathematics, 1996
12. Dieudonné, J.: Fondation of Modern Analysis. New York: Academic Press, 1960
13. Liu, W., Yan, N.: A posteriori error estimates for convex boundary control problems. SIAM J. Numer. Anal. 39(1), 73-99 (2001)
14. Nocedal, J., Wright, S.J.: Numerical Optimization. Springer Series in Operations Research, New York: Springer, 1999
15. Vexler, B.: A posteriori Fehlerschätzung und Gitteradaption bei Finite-Elemente-Approximationen nichtlinearer elliptischer Differentialgleichungen. Diplomarbeit, Universität Heidelberg, 2000