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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.read more
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A Well-balanced Finite Volume-Augmented Lagrangian Method for an Integrated Herschel-Bulkley Model
TL;DR: The goal is to simulate the evolution of thin sheet of viscoplastic materials on inclined planes and, in particular, to be able to compute the evolution from dynamic to stationary states.
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Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparsion of their Rate of Convergence in Convex Metric Spaces
TL;DR: In this article, a modified Noor iterative method in a convex metric space and apply it to approximate fixed points of quasi-contractive operators introduced by Berinde et al.
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An alternating direction method for linear‐constrained matrix nuclear norm minimization
Yunhai Xiao,Zheng-Fen Jin +1 more
TL;DR: This paper proposes an exact version alternating direction method for solving the nuclear norm minimization problem with linear equality constraints and solves approximately the subproblem by iterative method with Barzilai-Borwein steplength.
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Multi-layer channel flows with yield stress fluids
TL;DR: In this paper, a computational study of visco-plastically lubricated plane channel multi-layer flows is presented, in which the yield stress fluid layers are unyielded at the interface.
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Convergence rate analysis of domain decomposition methods for obstacle problems
TL;DR: Convergence rate estimate is given for an overlapping domain decomposition method for obstacle problems and it is shown that the computed solution will converge monotonically to the true solution if the intial value is above the obstacle and below thetrue solution.
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