The nonconforming virtual element method for optimal control problem governed by Stokes equations

DOI10.1007/S12190-024-02035-1zbMATH Open1545.65453MaRDI QIDQ6584758

Zhaojie Zhou, Chongna Sun, Minghui Yang

Publication date: 8 August 2024

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

optimal control problemStokes equationsa priori error estimategeneral elementsnonconforming virtual element method

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Flow control and optimization for incompressible viscous fluids (76D55)

Cites Work

• Title not available (Why is that?)
• Boundary optimal control problem of complex heat transfer model
• Optimal control problems related to the navigation channel engineering
• On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
• A virtual element method for contact
• A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem
• Adaptive virtual element method for optimal control problem governed by general elliptic equation
• Stabilization of the nonconforming virtual element method
• The nonconforming virtual element method for semilinear elliptic problems
• A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem
• A pressure-robust virtual element method for the Stokes problem
• A nonconforming virtual element method for the Stokes problem on general meshes
• A stress/displacement virtual element method for plane elasticity problems
• A divergence free weak virtual element method for the Stokes problem on polytopal meshes
• The nonconforming virtual element method for the Navier-Stokes equations
• A priori and a posteriori error analysis for virtual element discretization of elliptic optimal control problem
• The nonconforming virtual element method
• The nonconforming virtual element method for plate bending problems
• Virtual elements for linear elasticity problems
• Divergence free virtual elements for the stokes problem on polygonal meshes
• Nonconforming finite-element discretization of convex variational problems
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• Nonconforming Finite Element Methods for the Equations of Linear Elasticity
• Simple nonconforming quadrilateral Stokes element
• Conforming and nonconforming virtual element methods for elliptic problems
• A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• Mixed Finite Element Methods and Applications
• Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions
• Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint
• The Hitchhiker's Guide to the Virtual Element Method
• The Divergence-Free Nonconforming Virtual Element for the Stokes Problem
• A virtual element method for the Steklov eigenvalue problem
• A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
• Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
• The Mathematical Theory of Finite Element Methods
• Primal–dual active set method for control constrained optimal control of the Stokes equations
• The NonConforming Virtual Element Method for the Stokes Equations
• The divergence‐free nonconforming virtual element method for the <scp>Navier–Stokes</scp> problem
• Adaptive virtual element method for optimal control problem governed by Stokes equations
• Mixed virtual element methods for optimal control of Darcy flow

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