Superconvergence analysis and two-grid algorithms of pseudostress-velocity MFEM for optimal control problems governed by Stokes equations
type: Item
instance of: scholarly article
title: Superconvergence analysis and two-grid algorithms of pseudostress-velocity MFEM for optimal control problems governed by Stokes equations
zbMATH Open document ID: 1462.65190
author: Tianliang Hou
author: Haitao Leng
published in: Applied Numerical Mathematics
publication date: 2019-03-25T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76M10
zbMATH DE Number: 7041642
zbMATH Keywords: two grid
zbMATH Keywords: optimal control problems
zbMATH Keywords: superconvergence
zbMATH Keywords: Stokes equations
zbMATH Keywords: mixed finite element methods
MaRDI profile type: Publication
full work available at URL: j.apnum.2018.12.008
OpenAlex ID: W2905969929
cites work: A new mixed formulation for elasticity
cites work: Two-grid finite volume element method for linear and nonlinear elliptic problems
cites work: Two-grid discontinuous Galerkin method for quasi-linear elliptic problems
cites work: First-Order System Least Squares for the Stress-Displacement Formulation: Linear Elasticity
cites work: A Multigrid Method for the Pseudostress Formulation of Stokes Problems
cites work: Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems
cites work: A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem
cites work: Superconvergence of mixed finite element methods for optimal control problems
cites work: Superconvergence of quadratic optimal control problems by triangular mixed finite element methods
cites work: Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods
cites work: Superconvergence for optimal control problems governed by semi-linear elliptic equations
cites work: Q4162607
cites work: A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
cites work: Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem
cites work: Q3470840
cites work: Finite-Dimensional Approximation of a Class of Constrained Nonlinear Optimal Control Problems
cites work: Analysis and finite element approximation of an optimal control problem in electrochemistry with current density controls
cites work: Finite Element Approximation of Parabolic Time Optimal Control Problems
cites work: Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint
cites work: Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
cites work: A posteriori error estimates of recovery type for distributed convex optimal control problems
cites work: Q5601627
cites work: A two-grid discretization scheme for optimal control problems of elliptic equations
cites work: The Ritz–Galerkin Procedure for Parabolic Control Problems
cites work: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
cites work: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
cites work: Superconvergence Properties of Optimal Control Problems
cites work: $L^\infty$-Estimates for Approximated Optimal Control Problems
cites work: Q4136469
cites work: Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
cites work: A two-grid method for mixed finite-element solution of reaction-diffusion equations
cites work: A Novel Two-Grid Method for Semilinear Elliptic Equations
cites work: Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
Wikidata QID: Q128729068
DOI: 10.1016/J.APNUM.2018.12.008
description: scientific article; zbMATH DE number 7041642