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Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics

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TLDR
In this article, an augmented Lagrangian method for the solution of variational problems is proposed. But this method is not suitable for continuous media and their mathematical modeling, such as viscoplasticity and elastoviscasticity.
Abstract
1. Some continuous media and their mathematical modeling 2. Variational formulations of the mechanical problems 3. Augmented Lagrangian methods for the solution of variational problems 4. Viscoplasticity and elastoviscoplasticity in small strains 5. Limit load analysis 6. Two-dimensional flow of incompressible viscoplastic fluids 7. Finite elasticity 8. Large displacement calculations of flexible rods References Index.

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A selective linearization method for multiblock convex optimization

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The Unified Frame of Alternating Direction Method of Multipliers for Three Classes of Matrix Equations Arising in Control Theory

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Modeling, Simulation and Optimization of Electrorheological Fluids

TL;DR: In this article, the authors describe the modeling, simulation, and optimization of electrorheological fluid flows and present numerical methods both for steady and time-dependent fluid flows, and briefly address optimal design issues.
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Demiclosed principle and convergence for modified three step iterative process with errors of non-Lipschitzian mappings

TL;DR: It is proved that the modified three-step iterative sequence converges weakly and strongly to common fixed points of three asymptotically nonexpansive mappings in the intermediate sense {T"i}"i"="1^3 under certain conditions.
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