Optimization of mixed variational inequalities arising in flow of viscoplastic materials

DOI10.1007/s10589-011-9435-xzbMath1258.49010OpenAlexW1997531064MaRDI QIDQ694517

Juan Carlos De Los Reyes

Publication date: 12 December 2012

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-011-9435-x

zbMATH Keywords

optimal controlmixed variational inequalitiessemismooth Newton methodsBingham flowHuber regularizationVI-constrained optimization

Mathematics Subject Classification ID

Variational inequalities (49J40) Newton-type methods (49M15) Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10)

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Cites Work

• Distributed control of systems governed by a general class of quasilinear elliptic equations
• Numerical simulation of two-dimensional Bingham fluid flow by semismooth Newton methods
• On the numerical simulation of Bingham viscoplastic flow: old and new results
• Sobolev-Morrey spaces related to an ultraparabolic equation
• Regularity results for the quasi-static Bingham variational inequality in dimensions two and three
• Variational methods for problems from plasticity theory and for generalized Newtonian fluids
• Analysis and control of nonlinear infinite dimensional systems
• Modeling, Simulation and Optimization of Electrorheological Fluids
• Optimal Control of a Class of Variational Inequalities of the Second Kind
• Optimal control of static plasticity with linear kinematic hardening
• Complete Characterization of Functions Which Act, Via Superposition, on Sobolev Spaces
• Finite Element Methods for Navier-Stokes Equations
• A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Mixed variational inequalities arising in elastoplasticity
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity
• Optimal Control in Some Variational Inequalities
• An Infeasible Primal-Dual Algorithm for Total Bounded Variation--Based Inf-Convolution-Type Image Restoration
• Two finite-difference schemes for calculation of Bingham fluid flows in a cavity
• Nonlinear partial differential equations with applications
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