Abstract
An abstract approximation framework and corresponding convergence theory for the identification of linear degenerate distributed parameter systems is developed. The approach taken is based upon a quotient space formulation for the infinite dimensional dynamical system and an abstract approximation result in the spirit of the Trotter Kato Theorem for the approximation of linear semigroups of bounded linear operators. The abstract approximation framework is applied to establish convergence of generalized Galerkin schemes involving nonconforming elements in the context of inverse problems for degenerate parabolic systems. An example and numerical results are presented and discussed.
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© 1991 Springer Basel AG
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Rosen, I.G., Raghu, P. (1991). Approximation in the identification of degenerate distributed parameter systems: Generalized Galerkin schemes and nonconforming elements. In: Desch, W., Kappel, F., Kunisch, K. (eds) Estimation and Control of Distributed Parameter Systems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 100. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6418-3_19
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DOI: https://doi.org/10.1007/978-3-0348-6418-3_19
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-6418-3
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