Optimal Control in Some Variational Inequalities
From MaRDI portal
Publication:5186232
DOI10.1137/0322028zbMath0561.49007OpenAlexW2120757254MaRDI QIDQ5186232
Jean-Pierre Puel, Fulbert Mignot
Publication date: 1984
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0322028
Optimality conditions for problems involving partial differential equations (49K20) Variational inequalities (49J40) Fréchet and Gateaux differentiability in optimization (49J50)
Related Items
Strong stationarity conditions for a class of optimization problems governed by variational inequalities of the second kind, Numerical analysis of a distributed optimal control problem governed by an elliptic variational inequality, Optimal control of a frictional contact problem, A variational inequality approach to constrained control problems for parabolic equations, Tykhonov well-posedness of a heat transfer problem with unilateral constraints., Optimal design of laminated plate with obstacle, New trends in general variational inequalities, Boundary optimal control for a frictional contact problem with normal compliance, Strong Stationarity for Optimal Control of Variational Inequalities of the Second Kind, Topology optimization of structures undergoing brittle fracture, Optimal control of static plasticity with linear kinematic hardening, The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization, On the optimal control of variational-hemivariational inequalities, Optimal control of an elastic contact problem involving Tresca fraction law, Boundary optimal control for quasistatic bilateral frictional contact problems, Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities, A nonconforming finite element approximation for optimal control of an obstacle problem, Reliable solution of parabolic obstacle problems with respect to uncertain data., An ℓ 1-Penalty Scheme for the Optimal Control of Elliptic Variational Inequalities, Optimal prestress of structures with frictional unilateral contact interfaces, Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem, Singular perturbations in optimal control problem with application to nonlinear structural analysis, A Priori Error Analysis for an Optimal Control Problem Governed by a Variational Inequality of the Second Kind, Optimal control and directional differentiability for elliptic quasi-variational inequalities, A bundle-free implicit programming approach for a class of elliptic MPECs in function space, Optimal control of an obstacle problem, Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of Hencky type, Use of augmented Lagrangian methods for the optimal control of obstacle problems, The method of extremal shift in control problems for evolution variational inequalities under disturbances, An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary⋆, On sharp necessary optimality conditions in control of contact problems with strings, Optimal Control of Elastoplastic Processes: Analysis, Algorithms, Numerical Analysis and Applications, On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind, Optimal control of a bilateral contact with friction, Convergence of distributed optimal control problems governed by elliptic variational inequalities, On a highly nonlinear self-obstacle optimal control problem, A relaxation approach to vector-valued Allen-Cahn MPEC problems, Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints, Optimal control of a contact problem with slip dependent friction, Solvability and optimization for a class of mixed variational problems, Optimal Control of Quasivariational Inequalities with Applications to Contact Mechanics, Boundary optimal control for nonlinear antiplane problems, Optimal control of systems governed by hemivariational inequalities. Existence and approximation results, On the Tykhonov well-posedness of an antiplane shear problem, On optimality conditions in control of elliptic variational inequalities, Convergence Results for Optimal Control Problems Governed by Elliptic Quasivariational Inequalities, Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities, Global minima for optimal control of the obstacle problem, A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs, Optimal control of a non-smooth semilinear elliptic equation, Inverse Coefficient Problems for Variational Inequalities: Optimality Conditions and Numerical Realization, Optimal control problems for certain quasivariational inequalities∗, Shape Derivatives for the Penalty Formulation of Elastic Contact Problems with Tresca Friction, Optimal control of parabolic variational inequalities with state constraint, Optimal control of a variational inequality with application to the Kirchhoff plate having small flexural rigidity, Directional differentiability for elliptic quasi-variational inequalities of obstacle type, Optimization of the thickness of layers of sandwich conical shells, Optimal boundary control for the stationary Boussinesq equations with variable density, Optimal control of elliptic variational inequalities with bounded and unbounded operators, A Penalty Approach to Optimal Control of Allen-Cahn Variational Inequalities: MPEC-View, Fully Adaptive and Integrated Numerical Methods for the Simulation and Control of Variable Density Multiphase Flows Governed by Diffuse Interface Models, Optimal control of geometric partial differential equations, On calmness conditions in convex bilevel programming, On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem, Optimal control of high-order elliptic obstacle problem, Optimization of mixed variational inequalities arising in flow of viscoplastic materials, Optimal control problem for deflection plate with crack, Existence, uniqueness, and convergence of optimal control problems associated with parabolic variational inequalities of the second kind, Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening, Optimal obstacle control problem for semilinear evolutionary bilateral variational inequalities, The existence results for optimal control problems governed by a variational inequality, Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers, Optimal control of a frictionless contact problem with normal compliance, On the numerical study of an obstacle optimal control problem with source term, Strong Stationarity for Optimal Control of a Nonsmooth Coupled System: Application to a Viscous Evolutionary Variational Inequality Coupled with an Elliptic PDE, Optimal control for a dynamic thermo-electro-viscoelastic contact problem with frictional heating, Optimization of the domain in elliptic variational inequalities, An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model, OPTIMIZATION PROBLEMS FOR A THERMOELASTIC FRICTIONAL CONTACT PROBLEM, Numerical solution of bilateral obstacle optimal control problem, where the controls and the obstacles coincide, Shape Optimization for a Class of Semilinear Variational Inequalities with Applications to Damage Models, Optimal control of unilateral obstacle problem with a source term, Saddle Points of Obstacles for an Elliptic Variational Inequality, Sensitivity analysis for a class of \(H_{0}^{1}\)-elliptic variational inequalities of the second kind, Optimal Control of Static Elastoplasticity in Primal Formulation, Computation of a Bouligand Generalized Derivative for the Solution Operator of the Obstacle Problem, Optimal control of semilinear elliptic variational bilateral problem, Optimal prestress of cracked unilateral structures: Finite element analysis of an optimal control problem for variational inequalities., Optimal control for a class of mixed variational problems, Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems, Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation, Shape derivatives for an augmented Lagrangian formulation of elastic contact problems, Optimal control of hyperbolic \(H\)-hemivariational inequalities with state constraints, An application of the control by coefficients in a variational inequality for hydrodynamic lubrication, Adaptive Optimal Control of the Obstacle Problem, Optimal control for the dam problem, Conjugate gradient techniques for the optimal control evolution dam problem, Optimal shape design for systems governed by variational inequalities. III: Necessary conditions in the elliptic case, Necessary optimality conditions for Stackelberg problems, Optimal control for semilinear evolutionary variational bilateral problem., A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself, Optimal Control of Nonsmooth, Semilinear Parabolic Equations, On the optimal control of some nonsmooth distributed parameter systems arising in mechanics, Optimal Control of a Viscous Two‐Field Gradient Damage Model, Strong stationarity for optimal control problems with non-smooth integral equation constraints: application to a continuous DNN, Strong stationarity for a highly nonsmooth optimization problem with control constraints, A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems, Optimal control of an elastic-rigid obstacle problem, A new relaxation method for optimal control of semilinear elliptic variational inequalities obstacle problems, Directional differentiability for shape optimization with variational inequalities as constraints, Space-time mixed system formulation of phase-field fracture optimal control problems, Strong Stationarity Conditions for Optimal Control Problems Governed by a Rate-Independent Evolution Variational Inequality, Quasilinear Variational Inequalities in Ferromagnetic Shielding: Well-Posedness, Regularity, and Optimal Control, Strong stationarity conditions for the optimal control of a Cahn-Hilliard-Navier-Stokes system, On the regularity of an obstacle control problem, Optimal control problems governed by a variational inequality via nonlinear Lagrangian methods, Optimal Control Problems for Elliptic–Parabolic Variational Inequalities with Time-Dependent Constraints, Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities of Obstacle Type
