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Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics
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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 displacement-based finite element formulation for incompressible and nearly-incompressible cardiac mechanics
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Convergence theorems for nonself asymptotically nonexpansive mappings
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Alternating Direction Method of Multipliers for Sparse Principal Component Analysis
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Error estimates for stokes problem with tresca friction conditions
TL;DR: In this paper, a mixed variational method was proposed to approximate the Stokes problem with Tresca friction boundary conditions, where the mixed formulation is based on a dualization of the non-differentiable term which defines the slip conditions.
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