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The influence of the equation type on iterative parameter identification problems which are elliptic or hyperbolic in the parameter

Published online by Cambridge University Press:  09 May 2003

HEINZ W. ENGL  and
PHILIPP KÜGLER
HEINZ W. ENGL
Affiliation:
Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, 24–29 St Giles', Oxford OX1 3LB, UK
PHILIPP KÜGLER
Affiliation:
Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, 24–29 St Giles', Oxford OX1 3LB, UK
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Abstract

Motivated by a parameter identification problem for a fourth-order partial differential equation which models the design of car windscreens by the sagging process, we numerically study a parameter identification problem which is of second-order as an equation for the parameter. The error magnitude and structure for a regularized Landweber method for solving this nonlinear inverse problem with interior data depend markedly on the type of this second-order equation.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 14 , Issue 2 , April 2003 , pp. 129 - 163
Copyright
2003 Cambridge University Press

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