A Posteriori Error Estimates of Semidiscrete Mixed Finite Element Methods for Parabolic Optimal Control Problems
From MaRDI portal
Publication:5251355
DOI10.4208/eajam.010314.110115azbMath1315.49013OpenAlexW2005592841MaRDI QIDQ5251355
Publication date: 20 May 2015
Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.010314.110115a
a posteriori error estimateselliptic reconstructionsemidiscrete mixed finite element methodsparabolic optimal 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) Discrete approximations in optimal control (49M25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
- Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems -- strong convergence of optimal controls
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- A posteriori error estimates for optimal control problems governed by parabolic equations
- Analysis and finite element approximation of an optimal control problem in electrochemistry with current density controls
- A posteriori error estimates for mixed finite element solutions of convex optimal control problems
- Finite element methods for optimal control problems governed by integral equations and integro-differential equations
- A Posteriori Error Estimates for Convex Boundary Control Problems
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
- A posteriori error estimate for the mixed finite element method
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
- An a Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem
- A Posteriori Error Estimates in the Maximum Norm for Parabolic 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
- Finite Element Approximation of Parabolic Time Optimal Control Problems
- Mixed and Hybrid Finite Element Methods
- A posteriori error estimates for nonlinear problems. 𝐿^{𝑟}(0,𝑇;𝐿^{𝜌}(Ω))-error estimates for finite element discretizations of parabolic equations
- A posteriori error estimates for nonlinear problems:Lr, (0,T;W1,ρ (Ω))-error estimates for finite element discretizations of parabolic equations
- Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
- A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
- A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
- Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- The Ritz–Galerkin Procedure for Parabolic Control Problems
- The generalized finite element method
- A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations
- On one approach to a posteriori error estimates for evolution problems solved by the method of lines
- A posteriori error estimates for distributed convex optimal control problems
