scholarly journals An active set strategy based on the augmented Lagrangian formulation for image restoration

1999 ◽  
Vol 33 (1) ◽  
pp. 1-21 ◽  
Author(s):  
Kazufumi Ito ◽  
Karl Kunisch
Author(s):  
Kazufumi Ito ◽  
Karl Kunisch

Abstract In this paper we discuss applications of the numerical optimization methods for nonsmooth optimization, developed in [IK1] for the variational formulation of image restoration problems involving bounded variation type energy criterion. The Uzawa’s algorithm, first order augmented Lagrangian methods and Newton-like update using the active set strategy are described.


2014 ◽  
Vol 618 ◽  
pp. 73-98 ◽  
Author(s):  
Luis Rodríguez-Tembleque ◽  
M.H. Aliabadi ◽  
R. Abascal

Wear is present in all mechanical interface interaction problems –contact, fretting, orrolling-contact–, and it is one of the main reasons for inoperability in mechanical components. Thepresented work is a review of recent research carried out by the authors [1, 2, 3]. A boundary-element-based methodology to compute anisotropic wear on 3D contact, fretting, or rolling-contact conditionsis presented. Damage on the geometries of the solids and the contact pressures evolution under or-thotropic tribological properties can be predicted using this contact framework, where the formulationuses the Boundary Element Method to compute the elastic inuence coefcients. Contact problem isbased on an Augmented Lagrangian formulation, and restrictions fullment is established by a set ofprojection functions. The boundary element anisotropic wear formulation presented is illustrated withsome examples, in which some studies about the inuence of anisotropic wear on contact variablesevolution are shown.


2017 ◽  
Vol 34 (4) ◽  
pp. e2948 ◽  
Author(s):  
Joventino Oliveira Campos ◽  
Rodrigo Weber dos Santos ◽  
Joakim Sundnes ◽  
Bernardo Martins Rocha

Sign in / Sign up

Export Citation Format

Share Document