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Approximation of the capillarity problem by an augmented lagrangian method
Numerical Algorithms, 1996The author proposes an algorithm to compute an approximation of capillary surfaces in a gravitational field. The algorithm is based on a decomposition-coordination method by augmented Lagrangians and the discretization is done using the finite element method.
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Hierarchical control via augmented Lagrangians
Kybernetika, 1987Hierarchical control structures are composed of local decision making units and a supremal unit. The present paper deals with a well known hierarchical algorithm based on linearized augmented Lagrangians. An extension of the algorithm to the case of global constraints is given.
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Penalty and Augmented Lagrangian Methods
2017This chapter introduces two very important concepts in constrained nonlinear optimization. These are penalty and augmented Lagrangian concepts. The idea is that both these concepts replace the original problem by a sequence of sub-problems in which the constraints are expressed by terms added to the objective function.
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On the Convergence of Augmented Lagrangian Methods for Constrained Global Optimization
SIAM Journal on Optimization, 2008H Z Luo, X L Sun
exaly