A morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints
DOI10.1051/cocv/2017031zbMath1412.49025OpenAlexW2606371466MaRDI QIDQ4646827
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Publication date: 21 December 2018
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2017031
fourth order variational inequalityMorley elementpointwise state and control constraintselliptic distributed optimal control problem
Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15)
Related Items (12)
Cites Work
- Topics in numerical partial differential equations and scientific computing. Based on the presentations at the 2nd IMA's Women in Applied Mathematics, WhAM!, research collaboration workshop, Minneapolis, MN, USA, August 12--15, 2014
- A \(C^0\) interior penalty method for a von Kármán plate
- A mixed finite element scheme for optimal control problems with pointwise state constraints
- Error estimates for the discretization of elliptic control problems with pointwise control and state constraints
- Error estimates for the regularization of optimal control problems with pointwise control and state constraints
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Elliptic partial differential equations of second order
- Primal-dual strategy for state-constrained optimal control problems
- A partition of unity method for a class of fourth order elliptic variational inequalities
- \(L^ 2\) estimates for the finite element method for the Dirichlet problem with singular data
- Post-processing procedures for an elliptic distributed optimal control problem with pointwise state constraints
- A-posteriori error estimates for optimal control problems with state and control constraints
- On the structure of Lagrange multipliers for state-constrained optimal control problems
- On the regularity of the solution of the biharmonic variational inequality
- Lagrange Multiplier Approach to Variational Problems and Applications
- Uniform convergence of the multigrid V‐cycle on graded meshes for corner singularities
- Polynomial Approximation of Functions in Sobolev Spaces
- Primal-Dual Strategy for Constrained Optimal Control Problems
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- An Introduction to Variational Inequalities and Their Applications
- Poincaré–Friedrichs Inequalities for PiecewiseH2Functions
- A New Convergence Analysis of Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints
- A Quadratic C 0 Interior Penalty Method for an Elliptic Optimal Control Problem with State Constraints
- The Mathematical Theory of Finite Element Methods
- New regularity results and improved error estimates for optimal control problems with state constraints
- Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
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