A Posteriori Error Estimation for a PDE-Constrained Optimization Problem Involving the Generalized Oseen Equations
DOI10.1137/17M1139631zbMath1395.49028OpenAlexW2884685386MaRDI QIDQ3174788
Richard Rankin, Alejandro Allendes, Enrique Otárola
Publication date: 18 July 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1139631
Stokes equationslinear-quadratic optimal control problemsa posteriori error estimatorsBrinkman equationsgeneralized Oseen equationsstabilized adaptive finite element methods
Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Linear-quadratic optimal control problems (49N10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Complexity and performance of numerical algorithms (65Y20) Discrete approximations in optimal control (49M25)
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- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Optimal control of the Stokes equations: conforming and non-conforming finite element methods under reduced regularity
- An optimal Poincaré inequality for convex domains
- A posteriori error estimators for the Stokes equations
- A note on the Poincaré inequality for convex domains
- Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces
- Least-squares finite-element methods for optimization and control problems for the Stokes equations
- Theory and practice of finite elements.
- Investigation of commutative properties of discontinuous Galerkin methods in PDE constrained optimal control problems
- Towards discrete Velte decompositions and narrow bounds for inf-sup constants
- A posteriori error estimators for stabilized finite element approximations of an optimal control problem
- A robust all-at-once multigrid method for the Stokes control problem
- Stabilized finite element methods for the generalized Oseen problem
- Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations
- An adaptive stabilized finite element method for the generalized Stokes problem
- On the Adaptive Selection of the Parameter in Stabilized Finite Element Approximations
- Residual Based A Posteriori Error Estimates for Convex Optimal Control Problems Governed by Stokes-Darcy Equations
- Numerical PDE-Constrained Optimization
- Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
- Computational Optimization of Systems Governed by Partial Differential Equations
- A Posteriori Error Estimators for the Stokes and Oseen Equations
- A Posteriori Error Analysis of Optimal Control Problems with Control Constraints
- Robusta posteriorierror estimates for stabilized finite element methods
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Optimization with PDE Constraints
- Optimal Control in Fluid Mechanics by Finite Elements with Symmetric Stabilization
- First-Order System Least-Squares Methods for an Optimal Control Problem by the Stokes Flow
- Theory of adaptive finite element methods: An introduction
- Finite Element Methods for Navier-Stokes Equations
- Error estimation for low-order adaptive finite element approximations for fluid flow problems
- A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
- Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems
- Fully Computable Error Estimation of a Nonlinear, Positivity-Preserving Discretization of the Convection-Diffusion-Reaction Equation
- Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
- Mesh adaptation for stationary flow control
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