Iterative proximal regularization of the modified Lagrangian functional for solving the quasi-variational Signorini inequality

2008 ◽  
Vol 48 (9) ◽  
pp. 1536-1544
Author(s):  
E. M. Vikhtenko ◽  
R. V. Namm
Keyword(s):  
Lagrangian Functional ◽  
Modified Lagrangian Functional ◽  
Proximal Regularization

scholarly journals Fusion of Hyperspectral and Multispectral Images With Sparse and Proximal Regularization

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 186352-186363
Author(s):  
Feixia Yang ◽  
Ziliang Ping ◽  
Fei Ma ◽  
Yanwei Wang
Keyword(s):  
Multispectral Images ◽  
Proximal Regularization

Correct Formulation of the Stability Problem for Timoshenko Beam

2015 ◽  
Vol 725-726 ◽  
pp. 854-862 ◽  
Author(s):  
Vladimir Lalin ◽  
Daria Kushova
Keyword(s):  
Nonlinear Problems ◽  
Shear Stiffness ◽  
Lagrangian Description ◽  
Second Variation ◽  
Rigid Support ◽  
Stability Problems ◽  
Lagrangian Functional ◽  
The Stability ◽  
The Second Variation ◽  
Variational Formulations

This article is about the nonlinear problems of the theory of elastic Cosserat – Timoshenko’s rods in the material (Lagrangian) description with energy conjugated vectors of forces, moments and strains. The variational formulations of static problems was given. The differential equations of the plane stability problems were obtained from the second variation of the Lagrangian functional. The exact solutions of the stability problems for basic types of the end fixities of the rod were obtained for the Timoshenko’s rod (taking into account only bending and shear stiffness). It appears that classical well-known equilibrium stability functional and stability equations for the Timoshenko’s rod are incorrect. Also well-known Engesser formula (with bending and shear stiffness) is incorrect. The numerical solution of the stability problems for hinged Timoshenko’s rod with rigid support was obtained. Also, simplified formula for this problem was derived using asymptotic analysis.

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