Two fast finite difference schemes for elliptic Dirichlet boundary control problems
type: Item
instance of: scholarly article
title: Two fast finite difference schemes for elliptic Dirichlet boundary control problems
zbMATH Open document ID: 1427.65329
author: Jun Liu
published in: Journal of Applied Mathematics and Computing
publication date: 2019-11-22T00:00:00Z
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 7135508
zbMATH Keywords: Dirichlet boundary control
zbMATH Keywords: elliptic PDE
zbMATH Keywords: finite difference method
zbMATH Keywords: constraint preconditioner
MaRDI profile type: Publication
full work available at URL: s12190-019-01261-2
OpenAlex ID: W2936526993
cites work: Aerodynamic design via control theory
cites work: Perspectives in Flow Control and Optimization
cites work: Optimal Dirichlet Boundary Control of Stationary Navier–Stokes Equations with State Constraint
cites work: A Paradox in the Approximation of Dirichlet Control Problems in Curved Domains.
cites work: On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains
cites work: Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
cites work: Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes
cites work: Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
cites work: Finite Element Approximation of Elliptic Dirichlet Optimal Control Problems
cites work: Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains
cites work: Mixed Finite Element Method for Dirichlet Boundary Control Problem Governed by Elliptic PDEs
cites work: Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems
cites work: An energy space finite element approach for elliptic Dirichlet boundary control problems
cites work: A convergent adaptive finite element method for elliptic Dirichlet boundary control problems
cites work: Optimization methods for Dirichlet control problems
cites work: A finite element method for elliptic Dirichlet boundary control problems
cites work: Boundary element methods for Dirichlet boundary control problems
cites work: Energy corrected FEM for optimal Dirichlet boundary control problems
cites work: Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
cites work: Numerical optimal control of the wave equation: Optimal boundary control of a string to rest in finite time
cites work: A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains
cites work: Adapted Numerical Methods for the Poisson Equation with $L^2$ Boundary Data in NonConvex Domains
cites work: Q3745201
cites work: Analysis of Finite Difference Schemes
cites work: Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations
cites work: Q5601627
cites work: Optimization with PDE Constraints
cites work: Q3558349
cites work: Dirichlet control of elliptic state constrained problems
cites work: A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs
cites work: Q5755052
cites work: Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains
cites work: Second order finite-difference ghost-point multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface
cites work: Q4902474
cites work: Q3557864
cites work: Survey of the stability of linear finite difference equations
cites work: Preconditioning for boundary control problems in incompressible fluid dynamics
cites work: Q4414854
cites work: Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems
cites work: A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations
cites work: Numerical solution of saddle point problems
cites work: Multigrid Techniques
cites work: Q4527708
cites work: Multigrid Methods for PDE Optimization
cites work: Q3998482
cites work: A Note on Preconditioning for Indefinite Linear Systems
cites work: A new approximation of the Schur complement in preconditioners for PDE-constrained optimization.
cites work: Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems
cites work: On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
cites work: The Primal-Dual Active Set Strategy as a Semismooth Newton Method
cites work: Q5198964
cites work: Q4303526
Wikidata QID: Q128078781
DOI: 10.1007/S12190-019-01261-2
description: scientific article; zbMATH DE number 7135508