Abstract
The sensitivity of interior optimal regularized output least squares estimators with respect to perturbations of coefficients used in posing numerical test problems for finite element approximations of parabolic problems is studied. By determining the null space of a sensitivity operator we may determine spaces of perturbations that are not observable. This information may be used in designing experiments. Numerical examples are given comparing results for elliptic systems to those for parabolic.
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References
Deimling, K. (1980), Nonlinear Functional Analysis, Springer-Verlag, New York.
Lions, J.L. (1971), Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, New York.
Parker, R.L. (1994), Geophysical Inverse Theory, Princeton University Press, Princeton, New Jersey.
Schultz, M. (1973), Spline Analysis, Prentice Hall, Englewood Cliffs, New Jersey.
White, L.W. and Zhou, J. (1995), “Continuity and uniquenesss of regularized output least squares optimal estimators,” J. Math. Analysis and Applications, Vol. 196, 53–83.
White, L.W. (1997), “Resolution of regularized output least squares estimation procedures,” Computation and Applied Mathematics, Vol. 81, 139–172.
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© 1998 Springer Science+Business Media Dordrecht
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White, L.W., Jin, Yj. (1998). Resolution of Regularized Output Least Squares Estimators for Elliptic and Parabolic Problems. In: Optimal Control. Applied Optimization, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6095-8_21
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DOI: https://doi.org/10.1007/978-1-4757-6095-8_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4796-3
Online ISBN: 978-1-4757-6095-8
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