A stable nonconforming mixed finite element scheme for elliptic optimal control problems
From MaRDI portal
Publication:2006162
DOI10.1016/j.camwa.2015.04.005zbMath1443.49036OpenAlexW268716675MaRDI QIDQ2006162
Publication date: 8 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.04.005
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)
Related Items (6)
High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations ⋮ An efficient NFEM for optimal control problems governed by a bilinear state equation ⋮ The Convergence and Superconvergence of a MFEM for Elliptic Optimal Control Problems ⋮ A nonconforming finite element method for constrained optimal control problems governed by parabolic equations ⋮ Optimal order error estimates of a modified nonconforming rotated \(Q_1\) IFEM for interface problems ⋮ Optimal control for electromagnetic cloaking metamaterial parameters design
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high accuracy NFEM for constrained optimal control problems governed by elliptic equations
- Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
- Approximation of a class of optimal control problems with order of convergence estimates
- Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems
- A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation
- Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
- A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems
- Superconvergence of quadratic optimal control problems by triangular mixed finite element methods
- Control of an Elliptic Problem with Pointwise State Constraints
- Finite Element Approximation of Parabolic Time Optimal Control Problems
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- Superconvergence Properties of Optimal Control Problems
- Optimal Control Problems with Partially Polyhedric Constraints
- Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
- NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE
- A posteriori error estimates for distributed convex optimal control problems
This page was built for publication: A stable nonconforming mixed finite element scheme for elliptic optimal control problems