A SUPERCONVERGENT <i>L</i><sup>∞</sup>-ERROR ESTIMATE OF RT1 MIXED METHODS FOR ELLIPTIC CONTROL PROBLEMS WITH AN INTEGRAL CONSTRAINT
From MaRDI portal
Publication:5149621
DOI10.11948/2017065zbMath1474.49013OpenAlexW2619536855MaRDI QIDQ5149621
Publication date: 11 February 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2017065
mixed finite element methodssuperconvergenceelliptic equationspostprocessingoptimal control problems
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Superconvergence for optimal control problems governed by semi-linear 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
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- Analysis and finite element approximation of an optimal control problem in electrochemistry with current density controls
- Error estimates of expanded mixed methods for optimal control problems governed by hyperbolic integro-differential equations
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- $L^\infty$-Estimates for Approximated Optimal Control Problems
- Superconvergence of mixed finite element methods for optimal control problems
- Superconvergence of quadratic optimal control problems by triangular mixed finite element methods
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
- On the approximation of the solution of an optimal control problem governed by an elliptic equation
- Finite Element Approximation of Parabolic Time Optimal Control Problems
- Mixed and Hybrid Finite Element Methods
- Superconvergence Properties of Optimal Control Problems
- Finite-Dimensional Approximation of a Class of Constrained Nonlinear Optimal Control Problems
- Superconvergence and L<sup>∞</sup>-Error Estimates of RT1 Mixed Methods for Semilinear Elliptic Control Problems with an Integral Constraint
- The Ritz–Galerkin Procedure for Parabolic Control Problems
This page was built for publication: A SUPERCONVERGENT <i>L</i><sup>∞</sup>-ERROR ESTIMATE OF RT1 MIXED METHODS FOR ELLIPTIC CONTROL PROBLEMS WITH AN INTEGRAL CONSTRAINT