Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems
From MaRDI portal
Publication:2027788
DOI10.1007/s10444-021-09864-9zbMath1465.65053arXiv2004.09319OpenAlexW3155870562MaRDI QIDQ2027788
Publication date: 28 May 2021
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.09319
discontinuous Galerkin methodadaptive methoda posteriori error analysisboundary control problemHDG method
Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25) PDE constrained optimization (numerical aspects) (49M41)
Related Items
Virtual element method for elliptic Neumann boundary optimal control problem, A posteriori error analysis for pressure-robust HDG methods for the stationary incompressible Navier-Stokes equations, Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem, Mixed finite element method for a second order Dirichlet boundary control problem, Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A posteriori error estimates for HDG methods
- Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations
- Adaptive finite element method for elliptic optimal control problems: convergence and optimality
- A hybridizable discontinuous Galerkin method for Stokes flow
- A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints
- Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint
- An HDG method for distributed control of convection diffusion PDEs
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Adaptive HDG methods for the steady-state incompressible Navier-Stokes equations
- Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems
- Immersed finite elements for optimal control problems of elliptic PDEs with interfaces
- Optimality of a standard adaptive finite element method
- A Posteriori Error Estimates for Convex Boundary Control Problems
- Local discontinuous galerkin approximation of convection‐dominated diffusion optimal control problems with control constraints
- Convergence of Adaptive Finite Elements for Optimal Control Problems with Control Constraints
- Error bounds for a Dirichlet boundary control problem based on energy spaces
- Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates
- Goal-Oriented Adaptivity in Pointwise State Constrained Optimal Control of Partial Differential Equations
- A Posteriori Error Analysis of Optimal Control Problems with Control Constraints
- Ana posteriorierror analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Error Estimates for Adaptive Finite Element Computations
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- A Posteriori Error Analysis for Hybridizable Discontinuous Galerkin Methods for Second Order Elliptic Problems
- An analysis of HDG methods for convection-dominated diffusion problems
- On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients
- A convergent adaptive finite element method for elliptic Dirichlet boundary control problems
- Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems
- An a posteriori error estimate for the variable-degree Raviart-Thomas method
- Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints
- A posteriori error estimates for distributed convex optimal control problems
