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Convergence Rate for a Convection Parameter Identified Using Tikhonov Regularization

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Numerical Analysis and Its Applications (NAA 2000)

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Abstract

In this paper we establish a convergence rate result for a parameter identification problem. We show that the convergence rate of a convection parameter in an elliptic equation with Dirichlet boundary conditions is \( \mathcal{O}\left( {\sqrt \delta } \right) \) , where δ is a norm bound for the noise in the data.

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© 2001 Springer-Verlag Berlin Heidelberg

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Dimitriu, G. (2001). Convergence Rate for a Convection Parameter Identified Using Tikhonov Regularization. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_30

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  • DOI: https://doi.org/10.1007/3-540-45262-1_30

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

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