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Reconstructing initial data using iterative observers for wave type systems. A numerical analysis

Haine, Ghislain and Ramdani, Karim Reconstructing initial data using iterative observers for wave type systems. A numerical analysis. (2011) In: The 10th International Conference on the Mathematical and Numerical Aspects of Waves (WAVES 2011), 25-29 Jul 2011, Vancouver, Canada .

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Abstract

A new iterative algorithm for solving initial data inverse problems from partial observations has been recently Proposed in Ramdani et al. (Automatica 46(10), 1616–1625, 2010). Based on the concept of observers (also called Luenberger observers), this algorithm covers a large class of abstract evolution PDE’s. In this paper, we are concerned with the convergence analysis of this algorithm. More precisely, we provide a complete numerical analysis for semi-discrete (in space) and fully discrete approximations derived using finite elements in space and an implicit Euler method in time. The analysis is carried out for abstract Schrödinger and wave conservative systems with bounded observation (locally distributed).

Item Type:Conference or Workshop Item (Paper)
Additional Information:The entire proceedings can be downloaded here : http://www.sfu.ca/WAVES/proceedings/
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
Other partners > Université Henri Poincaré-Nancy1 - UHP (FRANCE)
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Deposited By: Ghislain Haine
Deposited On:09 Jul 2013 09:49

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