Certified reduced basis methods for parametrized elliptic optimal control problems with distributed controls
type: Item
instance of: scholarly article
title: Certified reduced basis methods for parametrized elliptic optimal control problems with distributed controls
zbMATH Open document ID: 1388.49023
author: Mark Kärcher
author: Zoi Tokoutsi
author: Martin A. Grepl
author: Karen Veroy
published in: Journal of Scientific Computing
publication date: 2018-04-26T00:00:00Z
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 6865008
zbMATH Keywords: optimal control
zbMATH Keywords: reduced basis method
zbMATH Keywords: a-posteriori error estimation
zbMATH Keywords: model order reduction
zbMATH Keywords: parameter-dependent systems
zbMATH Keywords: partial differential equations
zbMATH Keywords: elliptic problems
describes a project that uses: redbKIT
MaRDI profile type: Publication
full work available at URL: s10915-017-0539-z
OpenAlex ID: W2752626032
Wikidata QID: Q118178330
cites work: Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations
cites work: Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
cites work: Model Order Reduction for PDE Constrained Optimization
cites work: Weighted Reduced Basis Method for Stochastic Optimal Control Problems with Elliptic PDE Constraint
cites work: Comparison between reduced basis and stochastic collocation methods for elliptic problems
cites work: Improved successive constraint method baseda posteriorierror estimate for reduced basis approximation of 2D Maxwell's problem
cites work: Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems
cites work: Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients
cites work: Certified Reduced Basis Methods for Parametrized Saddle Point Problems
cites work: Reduced basis a posteriori error bounds for parametrized linear-quadratic elliptic optimal control problems
cites work: A-Posteriori Error Estimation of Discrete POD Models for PDE-Constrained Optimal Control
cites work: Multiplier Methods for Nonlinear Optimal Control
cites work: Optimization with PDE Constraints
cites work: A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
cites work: Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems
cites work: Reduced Basis Method for Optimal Control of Unsteady Viscous Flows
cites work: A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD
cites work: Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations
cites work: A PosterioriError Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems
cites work: A certified reduced basis method for parametrized elliptic optimal control problems
cites work: Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
cites work: HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems
cites work: Constrained optimization and optimal control for partial differential equations
cites work: Q5601627
cites work: Q4369269
cites work: Reduced basis method for parametrized elliptic optimal control problems
cites work: Reduced Basis Methods for Partial Differential Equations
cites work: Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
cites work: On the stability of the reduced basis method for Stokes equations in parametrized domains
cites work: Real-time optimization of thermal ablation cancer treatments
cites work: Q3558349
cites work: POD a-posteriori error estimates for linear-quadratic optimal control problems
cites work: A PosterioriError Estimation for Reduced-Basis Approximation of Parametrized Elliptic Coercive Partial Differential Equations: “Convex Inverse” Bound Conditioners
DOI: 10.1007/S10915-017-0539-Z
Recommended article: Certified Reduced Basis Methods for Parametrized Distributed Elliptic Optimal Control Problems with Control Constraints
Recommended article: A certified reduced basis method for parametrized elliptic optimal control problems
Recommended article: Reduced basis method for parametrized elliptic optimal control problems
Recommended article: A Certified Reduced Basis Approach for Parametrized Optimal Control Problems with Two-Sided Control Constraints
Recommended article: Reduced Basis Methods---An Application to Variational Discretization of Parametrized Elliptic Optimal Control Problems
Recommended article: Conjugate gradient-boundary element solution for distributed elliptic optimal control problems
Recommended article: Reduced basis method and error estimation for parametrized optimal control problems with control constraints
Recommended article: Reduced basis a posteriori error bounds for parametrized linear-quadratic elliptic optimal control problems
Recommended article: Numerical analysis of a distributed optimal control problem governed by an elliptic variational inequality
Recommended article: Robust finite element discretization and solvers for distributed elliptic optimal control problems
description: scientific article; zbMATH DE number 6865008