Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes
DOI10.3934/mcrf.2018010zbMath1407.65277arXiv1704.08843OpenAlexW3098683700MaRDI QIDQ1713356
Johannes Pfefferer, Arnd Rösch, Thomas Apel, Mariano Mateos
Publication date: 24 January 2019
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.08843
optimal controlboundary controlerror estimatesfinite elementsnonconvex domainDirichlet controlsuperconvergent meshes
Numerical methods based on necessary conditions (49M05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dirichlet control of elliptic state constrained problems
- Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis
- Elliptic problems in domains with piecewise smooth boundaries
- On optimal \(L^2\)- and surface flux convergence in FEM
- Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
- Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems
- Quasi-Optimal Approximation of Surface Based Lagrange Multipliers in Finite Element Methods
- On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains
- Direct Methods in the Theory of Elliptic Equations
- Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains
- Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
- Regularity estimates for elliptic boundary value problems in Besov spaces
- Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
- Optimization methods for Dirichlet control problems
- Approximations of Very Weak Solutions to Boundary-Value Problems
- Best approximation property in the $W^1_{\infty }$ norm for finite element methods on graded meshes
- Finite element error estimates on the boundary with application to optimal control