scholarly journals An inexact proximal augmented Lagrangian framework with arbitrary linearly convergent inner solver for composite convex optimization

2021 ◽  
Author(s):  
Fei Li ◽  
Zheng Qu
Keyword(s):  
Convex Optimization ◽  
Augmented Lagrangian ◽  
Lagrangian Framework ◽  
Inexact Proximal

A sharp augmented Lagrangian-based method in constrained non-convex optimization

2018 ◽  
Vol 34 (3) ◽  
pp. 462-488 ◽  
Author(s):  
A. M. Bagirov ◽  
G. Ozturk ◽  
R. Kasimbeyli
Keyword(s):  
Convex Optimization ◽  
Augmented Lagrangian

scholarly journals Robust implementation of contact under friction and large sliding with the eXtended finite element method

2010 ◽  
pp. 189-203
Author(s):  
Maximilien Siavelis ◽  
Patrick Massin ◽  
Martin L.E. Guiton ◽  
Sylvain Mazet ◽  
Nicolas Moës
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Augmented Lagrangian ◽  
Extended Finite Element Method ◽  
Numerical Test ◽  
Free Software ◽  
Extended Finite Element ◽  
Lagrangian Framework ◽  
Robust Implementation ◽  
Selection Of

An X-FEM formulation is proposed for the case of large sliding frictional interfaces. A continuous augmented lagrangian framework is adopted for contact and friction. We provide an algorithm for the selection of an appropriate discrete space for the lagrange multipliers, accounting for the transition between contact and free zones, and also between sliding and adherent zones. A 3D numerical test is realized with Code_Aster free software for the compression of a cylinder cut along a radial section and shows the ability of the model to capture such transitions.

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