Fourier Finite Volume Element Method for Two Classes of Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domain
From MaRDI portal
Publication:5213378
DOI10.1080/01630563.2019.1658602zbMath1435.49007OpenAlexW2971494747WikidataQ114101014 ScholiaQ114101014MaRDI QIDQ5213378
Xiuxiu Lin, Mengya Su, Zhi-Yue Zhang
Publication date: 3 February 2020
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2019.1658602
distributed controlelliptic equationDirichlet boundary controloptimal control problemsFourier finite volume element method
Numerical optimization and variational techniques (65K10) Discrete approximations in optimal control (49M25) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations
- A Fourier-Legendre spectral element method in polar coordinates
- Superconvergence of finite volume element method for elliptic problems
- Error estimates for the numerical approximation of Neumann control problems governed by a class of quasilinear elliptic equations
- Higher-order finite volume methods for elliptic boundary value problems
- Approximation of a class of optimal control problems with order of convergence estimates
- On the finite volume element method
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- Optimal boundary control of parabolic system on doubly connected region in new space
- Unfitted finite element for optimal control problem of the temperature in composite media with contact resistance
- Immersed finite elements for optimal control problems of elliptic PDEs with interfaces
- Finite element method and a priori error estimates for Dirichlet boundary control problems governed by parabolic PDEs
- A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere
- Finite element methods for elliptic optimal control problems with boundary observations
- Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems
- A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
- A Priori Error Analysis for Linear Quadratic Elliptic Neumann Boundary Control Problems with Control and State Constraints
- Mixed Finite Element Method for Dirichlet Boundary Control Problem Governed by Elliptic PDEs
- Error Estimates of Stochastic Optimal Neumann Boundary Control Problems
- Approximation of an elliptic control problem by the finite element method
- On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
- Optimization with PDE Constraints
- Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations
- Local A Posteriori Error Estimates for Convex Boundary Control Problems
- Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains
- Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
- Some Error Estimates for the Box Method
- On the approximation of the solution of an optimal control problem governed by an elliptic equation
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
- Superconvergence Properties of Optimal Control Problems
- On the Construction and Analysis of High Order Locally Conservative Finite Volume-Type Methods for One-Dimensional Elliptic Problems
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- Finite Element Approximation of Elliptic Dirichlet Optimal Control Problems
- HIGH-ORDER UPWIND FINITE VOLUME ELEMENT METHOD FOR FIRST-ORDER HYPERBOLIC OPTIMAL CONTROL PROBLEMS
- Some error estimates of finite volume element method for parabolic optimal control problems
- Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions
This page was built for publication: Fourier Finite Volume Element Method for Two Classes of Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domain
