An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
Authors:
- Zhiming ChenZCZhiming Chen
- Jun ZouJZJun Zou
- 1 January 1999
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 37 (3) , 892-910
Abstract
The identification of discontinuous parameters in elliptic systems is formulated as a constrained minimization problem combining the output least squares and the equation error method. The minimization problem is then proved to be equivalent to the saddle-point problem of an augmented Lagrangian. The finite element method is used to discretize the saddle-point problem, and the convergence of the discretization is also proved. Finally, an Uzawa algorithm is suggested for solving the discrete saddle-point problem and is shown to be globally convergent.Keywords
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