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A linear approach for the nonlinear distributed parameter identification problem

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Abstract

In identifying the nonlinear distributed parameters we propose an approach, which enables us to identify the nonlinear distributed parameters by just solving linear problems. In this approach we just need to identify linear parameters and then recover the nonlinear parameters from the identified linear parameters. An error estimate for the finite element approximation is derived. Numerical tests are also presented.

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© 1991 Springer Basel AG

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Tai, XC., Neittaanmäki, P. (1991). A linear approach for the nonlinear distributed parameter identification problem. In: Neittaanmäki, P. (eds) Numerical Methods for Free Boundary Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 99. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5715-4_36

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  • DOI: https://doi.org/10.1007/978-3-0348-5715-4_36

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5717-8

  • Online ISBN: 978-3-0348-5715-4

  • eBook Packages: Springer Book Archive

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