Error estimates of pseudostress-velocity MFEM for optimal control problems governed by Stokes equations

DOI10.1016/j.apnum.2018.09.009zbMath1403.65130OpenAlexW2890356319MaRDI QIDQ1615876

Yanping Chen, Haitao Leng, Wendi Yang

Publication date: 31 October 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.09.009

zbMATH Keywords

mixed finite elementsa posteriori error estimatesStokes equationsa priori error estimatesoptimal control problemspseudostress

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

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• Approximation of a class of optimal control problems with order of convergence estimates
• A new mixed formulation for elasticity
• A family of mixed finite elements for the elasticity problem
• A posteriori error estimates for mixed finite element solutions of convex optimal control problems
• A unifying theory of a posteriori finite element error control
• A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems
• A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem
• Approximation of an elliptic control problem by the finite element method
• A Multigrid Method for the Pseudostress Formulation of Stokes Problems
• Mixed finite element methods for incompressible flow: Stationary Stokes equations
• Superconvergence of mixed finite element methods for optimal control problems
• Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem
• First-Order System Least Squares for the Stress-Displacement Formulation: Linear Elasticity
• Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
• A Posteriori Error Estimates for Control Problems Governed by Stokes Equations

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