A Priori Error Analysis for an Optimal Control Problem Governed by a Variational Inequality of the Second Kind
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Publication:5071313
DOI10.1080/01630563.2021.2001750zbMath1486.49014arXiv2011.12199OpenAlexW3211556762MaRDI QIDQ5071313
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Publication date: 21 April 2022
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.12199
optimal controlfinite elementsa priori error analysiselliptic variational inequalities of the second kind
Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Regularity of solutions in optimal control (49N60) Numerical methods for variational inequalities and related problems (65K15) Error analysis and interval analysis (65G99)
Cites Work
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- Strong stationarity conditions for a class of optimization problems governed by variational inequalities of the second kind
- Sharp \(L^{\infty}\)-error estimates for semilinear elliptic problems with free boundaries
- Some analytical properties of geodesically convex sets
- Mathematical aspects of finite element methods. Proceedings of the conference held in Rome, December 10--12, 1975
- Contrôle dans les inéquations variationelles elliptiques
- A note on a priori \(L^p\)-error estimates for the obstacle problem
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- Error estimates for parabolic optimal control problems with control constraints
- Sensitivity analysis for a class of \(H_{0}^{1}\)-elliptic variational inequalities of the second kind
- On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind
- Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities
- Optimal Control of a Class of Variational Inequalities of the Second Kind
- First-Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis
- Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
- Theoretical Numerical Analysis
- On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*
- Error Estimates for the Approximation of a Class of Variational Inequalities
- An Introduction to Variational Inequalities and Their Applications
- A Priori Finite Element Error Analysis for Optimal Control of the Obstacle Problem
- Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening
- Optimal Control in Some Variational Inequalities
- Strong Stationarity for Optimal Control of a Nonsmooth Coupled System: Application to a Viscous Evolutionary Variational Inequality Coupled with an Elliptic PDE
- Strong Stationarity for Optimal Control of the Obstacle Problem with Control Constraints
- B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening
- The Mathematical Theory of Finite Element Methods
- Angewandte Funktionalanalysis